Edward Witten | Academic Influence

Why Is Edward Witten Influential?

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By Erik J. Larson, PhD

Witten is Professor of Mathematical Physics at Princeton’s Institute for Advanced Study (IAS). He is known world-wide for his many important contributions to the mathematics of string theory and treatments of theoretical physics. Interestingly, Witten received his Bachelor of Arts degree in History, with a minor in Linguistics at Brandeis University in 1971. After graduation, Witten wrote for The New Republic and The Nation, and even worked on George McGovern’s presidential campaign! He returned to college and studied economics at the University of Wisconsin-Madison before dropping out, returning to Princeton University to study applied mathematics, where he received his Ph.D. in Physics in 1976.

The rest, as they say, is history. Witten won the “genius award,” the MacArthur Grant in 1982, and had won the Fields Medal in Mathematics in 1990. Technically a physicist (not a mathematician), the noted mathematician Michael Atiyah noted that Witten’s “command of mathematics is rivaled by few mathematicians, and his ability to interpret physical ideas in mathematical form is quite unique.” Indeed, with Witten’s talent it is difficult to separate his thinking about theoretical physics with mathematics proper, as the “thinking” about physics is done in the language of mathematics. At any rate, Witten is widely regarded as one of the finest mathematicians in the world, as the Fields Medal surely attests.

Among many other awards, Witten received the Nemmers Prize in Mathematics in 2000.

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According to Wikipedia, Edward Witten is an American mathematical and theoretical physicist. He is a Professor Emeritus in the School of Natural Sciences at the Institute for Advanced Study in Princeton. Witten is a researcher in string theory, quantum gravity, supersymmetric quantum field theories, and other areas of mathematical physics. Witten's work has also significantly impacted pure mathematics. In 1990, he became the first physicist to be awarded a Fields Medal by the International Mathematical Union, for his 1981 proof of the positive energy theorem in general relativity. He is considered the practical founder of M-theory.

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Edward Witten's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Papers

Anti-de Sitter space and holography (1998) (10723)
Quantum field theory and the Jones polynomial (1989) (4199)
String theory and noncommutative geometry (1999) (3970)
Electric - magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory (1994) (3058)
Dynamical Breaking of Supersymmetry (1981) (2318)
String theory dynamics in various dimensions (1995) (2242)
Vacuum configurations for superstrings (1985) (2125)
Topological quantum field theory (1988) (2106)
Monopoles, duality and chiral symmetry breaking in N=2 supersymmetric QCD (1994) (2041)
(2+1)-Dimensional Gravity as an Exactly Soluble System (1988) (2011)
Heterotic and type I string dynamics from eleven-dimensions (1995) (1888)
Non-abelian bosonization in two dimensions (1984) (1836)
ANTI-DE SITTER SPACE, THERMAL PHASE TRANSITION AND CONFINEMENT IN GAUGE THEORIES (1998) (1768)
Global Aspects of Current Algebra (1983) (1728)
Contact line deposits in an evaporating drop (2000) (1693)
Anti-de Sitter Space, Thermal Phase Transition, And Confinement in Gauge Theories (1998) (1654)
Cosmic separation of phases (1984) (1640)
Phases of N = 2 theories in two dimensions (1993) (1595)
Constraints on Supersymmetry Breaking (1982) (1557)
Non-commutative geometry and string field theory (1986) (1497)
Strings on orbifolds (1985) (1491)
Bound states of strings and p-branes (1995) (1461)
Supersymmetry and Morse theory (1982) (1367)
Eleven-dimensional supergravity on a manifold with boundary (1996) (1286)
A new proof of the positive energy theorem (1981) (1275)
Perturbative Gauge Theory as a String Theory in Twistor Space (2003) (1261)
Two-dimensional gravity and intersection theory on moduli space (1990) (1242)
Superconformal field theory on threebranes at a Calabi-Yau singularity (1998) (1238)
Static Properties of Nucleons in the Skyrme Model (1983) (1193)
Baryons in the 1/n Expansion (1979) (1188)
Ads/CFT correspondence and symmetry breaking (1999) (1178)
CFT's from Calabi–Yau four-folds (1999) (1154)
A Strong coupling test of S duality (1994) (1086)
TYPE IIB SUPERSTRINGS, BPS MONOPOLES, AND THREE-DIMENSIONAL GAUGE DYNAMICS (1996) (1034)
SOLUTIONS OF FOUR-DIMENSIONAL FIELD THEORIES VIA M-THEORY (1997) (1032)
Direct proof of the tree-level scattering amplitude recursion relation in Yang-mills theory. (2005) (1012)
Current Algebra Theorems for the U(1) Goldstone Boson (1979) (986)
Detectability of certain dark-matter candidates. (1985) (974)
Topological sigma models (1988) (917)
Electric-Magnetic Duality And The Geometric Langlands Program (2006) (908)
Monopoles and four-manifolds (1994) (898)
Axions In String Theory (2006) (879)
Current Algebra, Baryons, and Quark Confinement (1983) (829)
Topological gauge theories and group cohomology (1990) (804)
Strong coupling expansion of Calabi-Yau compactification (1996) (801)
Ultralight scalars as cosmological dark matter (2016) (800)
The Holographic bound in anti-de Sitter space (1998) (792)
Superstring Modifications of Einstein's Equations (1986) (790)
Supersymmetry algebras that include topological charges (1978) (771)
String theory and black holes. (1991) (770)
On the Structure of the Topological Phase of Two-dimensional Gravity (1990) (766)
Chern-Simons gauge theory as a string theory (1992) (756)
On quantum gauge theories in two dimensions (1991) (716)
Small instantons in string theory (1995) (690)
Some properties of O(32) superstrings (1984) (677)
Baryons and branes in anti de Sitter space (1998) (677)
Possible Third Order Phase Transition in the Large N Lattice Gauge Theory (1980) (674)
MHV vertices and tree amplitudes in gauge theory (2004) (651)
String Theory on Group Manifolds (1986) (644)
Dimensional Reduction of Superstring Models (1985) (642)
Supersymmetric Yang-Mills theory and integrable systems (1995) (640)
S-duality of boundary conditions in N=4 super Yang-Mills theory (2008) (636)
The Hagedorn Transition and the Number of Degrees of Freedom of String Theory (1988) (636)
Evidence for heterotic - type I string duality (1995) (635)
Two-dimensional gauge theories revisited (1992) (630)
Some Comments On String Dynamics (1995) (629)
Search for a realistic Kaluza-Klein theory (1981) (624)
Quantum Gravity In De Sitter Space (2001) (621)
Black hole entropy in M theory (1997) (616)
Dyons of charge eθ/2π (1979) (605)
Gluino Condensation in Superstring Models (1985) (598)
Instantons, the Quark Model, and the 1/n Expansion (1979) (580)
Symmetry breaking patterns in superstring models (1985) (566)
The D1/D5 System And Singular CFT (1999) (558)
A Note on Toroidal Compactification of Heterotic String Theory (1987) (554)
Mirror Manifolds And Topological Field Theory (1991) (546)
Non-perturbative superpotentials in string theory (1996) (544)
Some exact multipseudoparticle solutions of classical Yang--Mills theory (1977) (533)
Anomalies in string theory with D-branes (1999) (521)
Gauge Dynamics And Compactification To Three Dimensions (1996) (499)
Superstring Theory: Volume 2, Loop Amplitudes, Anomalies and Phenomenology (1987) (497)
Five-brane effective action in M theory (1996) (496)
Chiral Estimate of the Electric Dipole Moment of the Neutron in Quantum Chromodynamics (1979) (489)
Vector Bundles and F Theory (1997) (487)
Three-Dimensional Gravity Revisited (2007) (482)
Matter couplings in N = 2 supergravity (1983) (470)
On flux quantization in M-theory and the effective action (1996) (468)
New Issues in Manifolds of SU(3) Holonomy (1986) (464)
Phase transitions in M-theory and F-theory (1996) (455)
Limits on Massless Particles (1980) (454)
Instability of the Kaluza-Klein Vacuum (1982) (454)
Gauge Theory, Ramification, And The Geometric Langlands Program (2006) (451)
Interacting field theory of open superstrings (1986) (449)
SUPERSTRING THEORY. VOL. 1: INTRODUCTION (1987) (443)
Comments on string dynamics in six dimensions (1996) (441)
Elliptic genera and quantum field theory (1987) (439)
New N= 2 superconformal field theories in four dimensions (1995) (438)
Chiral Rings and Anomalies in Supersymmetric Gauge Theory (2002) (426)
Fayet-Iliopoulos terms in string theory (1987) (419)
Large N chiral dynamics (1980) (415)
Anyon superconductivity? (1989) (407)
Quantum gravity partition functions in three dimensions (2007) (400)
Geometric quantization of Chern-Simons gauge theory (1991) (395)
Restrictions on Symmetry Breaking in Vector-Like Gauge Theories (1984) (388)
SL(2;Z) Action On Three-Dimensional Conformal Field Theories With Abelian Symmetry (2003) (388)
Reflections on the Fate of Spacetime (1996) (386)
Constraints on low-dimensional string compactifications (1996) (384)
A theory of everything? (2005) (381)
Analytic Continuation Of Chern-Simons Theory (2010) (370)
M-Theory Dynamics On A Manifold Of G_2 Holonomy (2001) (370)
The index of the dirac operator in loop space (1988) (365)
Branes and the dynamics of QCD (1997) (362)
Multi-Trace Operators, Boundary Conditions, And AdS/CFT Correspondence (2001) (359)
Supersymmetric sigma models and the heterotic string (1985) (342)
A Duality Web in 2+1 Dimensions and Condensed Matter Physics (2016) (338)
Mass Hierarchies in Supersymmetric Theories (1981) (338)
ADELIC STRING AMPLITUDES (1987) (338)
On background-independent open-string field theory. (1992) (335)
Model for force fluctuations in bead packs. (1995) (317)
Global gravitational anomalies (1985) (314)
The Verlinde algebra and the cohomology of the Grassmannian (1993) (312)
Conformal Field Theory of AdS Background with Ramond-Ramond Flux (1999) (312)
Mean field theory, topological field theory, and multi-matrix models (1990) (310)
Anomalous Cross-Section for Photon - Photon Scattering in Gauge Theories (1977) (310)
Spin structures in string theory (1986) (308)
Topology Changing Amplitudes in (2+1)-Dimensional Gravity (1989) (308)
Twistor - Like Transform in Ten-Dimensions (1986) (302)
Coadjoint orbits of the Virasoro group (1988) (301)
An SYK-like model without disorder (2016) (297)
Covariant description of canonical formalism in geometrical theories (1986) (295)
New manifolds for superstring compactification (1985) (290)
Ground ring of two-dimensional string theory (1991) (289)
Janus configurations, Chern-Simons couplings, and The θ-Angle in $ \mathcal{N} = 4 $ super Yang-Mills theory (2008) (287)
An interpretation of classical Yang-Mills theory (1978) (286)
Nonperturbative Effects on the String World Sheet (1987) (286)
Toroidal compactification without vector structure (1997) (286)
Five-branes and M theory on an orbifold (1995) (283)
Conformal anomaly of submanifold observables in AdS/CFT correspondence☆ (1999) (273)
Supersymmetric Boundary Conditions in $\mathcal{N}=4$ Super Yang-Mills Theory (2008) (272)
Wess-Zumino-Witten model based on a nonsemisimple group. (1993) (269)
Fivebranes and Knots (2011) (266)
Fermion Path Integrals And Topological Phases (2015) (263)
A relation between approaches to integrability in superconformal Yang-Mills theory (2003) (263)
Chiral-symmetry breakdown in large-N chromodynamics (1980) (254)
On orbifolds with discrete torsion (1994) (254)
A one-loop test of string duality (1995) (252)
Some computations in background-independent off-shell string theory. (1992) (252)
On holomorphic factorization of WZW and coset models (1992) (252)
On the Landau-Ginzburg description of N=2 minimal models (1993) (250)
Chiral Fermions from Manifolds Of G 2 Holonomy (2001) (249)
Conformal Supergravity in Twistor-String Theory (2004) (248)
Instantons and (super-) symmetry breaking in (2+1) dimensions (1982) (246)
Parity Conservation in Quantum Chromodynamics (1984) (244)
Fermionic localization of the schwarzian theory (2017) (243)
Erratum to: “CFT's from Calabi–Yau four-folds” (2001) (239)
THETA DEPENDENCE IN THE LARGE N LIMIT OF FOUR-DIMENSIONAL GAUGE THEORIES (1998) (238)
Strings on Orbifolds (Ii) (1988) (237)
Non-archimedean string dynamics (1988) (235)
The N matrix model and gauged WZW models (1992) (233)
The omega deformation, branes, integrability and Liouville theory (2010) (231)
Quantum Background Independence In String Theory (1993) (230)
Anomalies, dualities, and topology of D = 6 N = 1 superstring vacua (1996) (230)
A Derivation of K theory from M theory (2000) (230)
Algebraic Geometry Associated with Matrix Models of Two Dimensional Gravity (1993) (228)
Quantization of Chern-Simons gauge theory with complex gauge group (1991) (228)
The Cosmological Constant from the Viewpoint of String Theory (2000) (225)
Analytic continuation of Liouville theory (2011) (224)
Calabi‐Yau Manifolds: A Bestiary for Physicists (1992) (223)
Chiral symmetry, the 1/N expansion and the SU(N) thirring model (1978) (222)
On black holes in string theory (1991) (220)
On the Conformal Field Theory of the Higgs Branch (1997) (220)
Gauge theories, vertex models, and quantum groups (1990) (220)
Integration over the u-plane in Donaldson theory (1997) (216)
The antisymmetric tensor field in superstring theory (1986) (214)
Evidence for heterotic/heterotic duality (1996) (209)
Supersymmetric Yang–Mills theory on a four‐manifold (1994) (206)
APS Medal for Exceptional Achievement in Research: Invited article on entanglement properties of quantum field theory (2018) (204)
On S-Duality in Abelian Gauge Theory (1995) (204)
Quantization of Newton's constant in certain supergravity theories☆ (1982) (203)
Dual string pairs with N = 1 and N = 2 supersymmetry in four dimensions (1995) (202)
Self-duality, Ramond-Ramond fields, and K-theory (1999) (200)
Connectedness of the boundary in the AdS / CFT correspondence (1999) (199)
Vector Bundles over Elliptic Fibrations (1997) (198)
Universal kinetics in reaction-limited aggregation. (1987) (194)
Electric and Magnetic Charges in Superstring Models (1985) (189)
Yangian Symmetry in D=4 Superconformal Yang-Mills Theory (2004) (188)
Quantum field theory, Grassmannians, and algebraic curves (1988) (184)
Rigid Surface Operators (2008) (180)
Two-dimensional models with (0,2) supersymmetry: perturbative aspects (2005) (179)
Heavy Quark Contributions to Deep Inelastic Scattering (1976) (178)
Neutrino masses in the minimal O(10) theory (1980) (173)
Three Lectures On Topological Phases Of Matter (2015) (171)
Supersymmetric Index Of Three-Dimensional Gauge Theory (1999) (170)
A spacetime derivation of the Lorentzian OPE inversion formula (2017) (168)
Sigma Models And The ADHM Construction Of Instantons (1994) (168)
FERMION QUANTUM NUMBERS IN KALUZA-KLEIN THEORY (1983) (166)
A new look at the path integral of quantum mechanics (2010) (166)
Hyper-Kähler geometry and invariants of three-manifolds (1996) (165)
Superstring Perturbation Theory Revisited (2012) (164)
JT gravity and the ensembles of random matrix theory (2019) (163)
Algebraic structures and differential geometry in 2-D string theory (1992) (162)
Gauge Theories and Integrable Lattice Models (1989) (162)
Gapped boundary phases of topological insulators via weak coupling (2016) (161)
Cosmological effects of superconducting strings (1986) (160)
Quantum Yang-Mills theory (2000) (160)
Overview of K theory applied to strings (2000) (159)
World-sheet corrections via D-instantons (1999) (159)
Criteria for conformal invariance of (0, 2) models (1995) (159)
The gauge invariant supersymmetric nonlinear sigma model (1982) (158)
More on supersymmetric and 2d analogs of the SYK model (2017) (157)
Gauge theory amplitudes in twistor space and holomorphic anomaly (2004) (155)
A WZW model based on a non-semi-simple group (1993) (153)
Non-Abelian localization for Chern-Simons theory (2005) (147)
Geometric Langlands From Six Dimensions (2009) (147)
Twistor space structure of one-loop amplitudes in gauge theory (2004) (146)
Loop amplitudes, anomalies and phenomenology (1987) (144)
Chiral Rings and Phases of Supersymmetric Gauge Theories (2003) (144)
Modular invariance in string field theory (1986) (143)
Introduction to cohomological field theories (1991) (142)
Topological gravity in two dimensions (1988) (141)
Some Inequalities Among Hadron Masses (1983) (140)
Knot Invariants from Four-Dimensional Gauge Theory (2011) (139)
Stability criteria for emulsions. (1992) (139)
BPS Bound States Of D0-D6 And D0-D8 Systems In A B-Field (2000) (139)
Supermoduli Space Is Not Projected (2013) (139)
A Note on the Antibracket Formalism (1990) (136)
Noncommutative Tachyons And String Field Theory (2000) (135)
Eigenvalue inequalities for fermions in gauge theories (1984) (133)
The "parity" anomaly on an unorientable manifold (2016) (130)
A closed, expanding universe in string theory (1992) (129)
Phases of = 1 supersymmetric gauge theories (2003) (129)
Conformal gravity in three dimensions as a gauge theory. (1989) (127)
Residues and world sheet instantons (2003) (126)
AdS / CFT correspondence and topological field theory (1998) (125)
Superstring Theory Vol. 1 : 25th Anniversary Edition (2012) (121)
Quarks, atoms, and the 1/N expansion (1980) (120)
IS SUPERSYMMETRY REALLY BROKEN (1994) (120)
A Note on fluxes and superpotentials in M theory compactifications on manifolds of G(2) holonomy (2002) (119)
Unification scale, proton decay, and manifolds of G(2) holonomy (2002) (119)
Plasmons , Gauge Invariance , and Mass (2011) (115)
Branes and Quantization (2008) (113)
Duality relations among topological effects in string theory (1999) (113)
Supersymmetric Index In Four-Dimensional Gauge Theories (2000) (112)
Anti-de Sitter Space And The Center Of The Gauge Group (1998) (111)
Cosmological Consequences of a Light Higgs Boson (1981) (111)
Deconstruction, G_2 Holonomy, and Doublet-Triplet Splitting (2002) (110)
The S Matrix of the Supersymmetric Nonlinear Sigma Model (1978) (109)
GLOBAL ANOMALIES IN STRING THEORY (1985) (109)
Principal G bundles over elliptic curves (1997) (109)
Proton decay in intersecting D-brane models (2003) (108)
Superstring Theory: Volume 1, Introduction (1987) (108)
Short Distance Analysis of Weak Interactions (1977) (108)
Symmetric Gapped Interfaces of SPT and SET States: Systematic Constructions (2017) (107)
A Supersymmetric Form of the Nonlinear Sigma Model in Two-Dimensions (1977) (104)
Scaling properties for the surfaces of fractal and nonfractal objects: An infinite hierarchy of critical exponents. (1986) (104)
World Sheet Instantons and the {Peccei-Quinn} Symmetry (1986) (104)
Gauge theory and wild ramification (2007) (103)
Parity Invariance For Strings In Twistor Space (2004) (100)
Notes on supermanifolds and integration (2012) (99)
Virtual free ion magnetism and the absence of Jahn-Teller distortion in a linear two-coordinate complex of high-spin iron(II). (2004) (98)
HYDRODYNAMIC RELATIONS IN SUPERCONDUCTIVITY (1989) (98)
Notes on super Riemann surfaces and their moduli (2012) (98)
Conformal Field Theory In Four And Six Dimensions (2007) (96)
Gravity dual of the chiral anomaly (2002) (96)
Strong Coupling and the Cosmological Constant (1995) (94)
Phase separation in a grafted polymer layer. (1991) (94)
OnS-duality in Abelian gauge theory (1995) (92)
Averaging over Narain moduli space (2020) (92)
Conservation laws in some two-dimensional models (1980) (91)
Role of short distance behavior in off-shell open-string field theory. (1993) (87)
Perturbative expansion of Chern-Simons theory with non-compact gauge group (1991) (85)
Dibaryons, branes, and strings in AdS orbifold models (1998) (85)
The S-matrix of the kinks of the (gyψ)2 model (1978) (85)
Comments On String Theory (2002) (83)
Branes, Instantons, And Taub-NUT Spaces (2009) (83)
Monopole Catalysis of Skyrmion Decay (1984) (82)
Space-time and topological orbifolds. (1988) (82)
Branes and Supergroups (2014) (82)
Duality, Spacetime and Quantum Mechanics (1997) (81)
Surfaces, interfaces, and screening of fractal structures. (1985) (80)
Matrix models and deformations of JT gravity (2020) (79)
A mini-introduction to information theory (2018) (78)
Conformal operators for partially massless states (2001) (78)
New instanton effects in string theory (2005) (76)
The 1/N Expansion in Atomic and Particle Physics (1980) (74)
Responses to `Theoretical mathematics: toward a cultural synthesis of mathematics and theoretical physics', by A. Jaffe and F. Quinn (1994) (70)
Computing the complete massless spectrum of a Landau-Ginzburg orbifold (1993) (70)
A Note On The Chern-Simons And Kodama Wavefunctions (2003) (70)
New ``Gauge'' Theories In Six Dimensions (1997) (70)
Developments in topological gravity (2018) (69)
The Hitchin Functionals and the Topological B-Model at One Loop (2005) (69)
Twisting toroidally compactified heterotic strings with enlarged symmetry groups (1986) (68)
A NONPERTURBATIVE SUPERPOTENTIAL WITH E8-SYMMETRY (1996) (67)
Symmetry and emergence (2017) (66)
Gauge Theory and Integrability, II (2017) (66)
Khovanov homology and gauge theory (2011) (63)
Global U(1) R-symmetry and conformal invariance of (0,2) models (1994) (62)
Notes on Some Entanglement Properties of Quantum Field Theory (2018) (62)
A new SU(2) anomaly (2018) (61)
The formation of galaxies from massive neutrinos (1981) (60)
New instanton effects in supersymmetric QCD (2004) (59)
Holomorphic Morse Inequalities (1984) (56)
Geometric Endoscopy and Mirror Symmetry (2007) (56)
Filling the gaps with PCO’s (2015) (55)
θ-vacua in two-dimensional quantum chromodynamics (1979) (54)
Some properties of the (ψψ)2 model in two dimensions (1978) (53)
Anomaly Inflow and the η-Invariant (2021) (53)
Anomaly Cancellation On Manifolds Of G_2 Holonomy (2001) (51)
The Feynman iε in string theory (2015) (50)
A Note on Boundary Conditions in Euclidean Gravity (2018) (50)
Superstring Theory Volume 1: Introduction Volume 2: Loop Amplitudes, Anomalies and Phenomenology (1987) (48)
Algebra of the Infrared: String Field Theoretic Structures in Massive ${\cal N}=(2,2)$ Field Theory In Two Dimensions (2015) (48)
TOPOLOGICAL TOOLS IN 10-DIMENSIONAL PHYSICS (1986) (48)
Large Radius Expansion of Superstring Compactifications (1987) (48)
Integrable Lattice Models From Gauge Theory (2016) (47)
Axion topological field theory of topological superconductors (2012) (47)
More On Superstring Perturbation Theory: An Overview Of Superstring Perturbation Theory Via Super Riemann Surfaces (2013) (47)
Heterotic String Conformal Field Theory And A-D-E Singularities (1999) (46)
Magic, mystery, and matrix (1998) (45)
Dissymmetry effects in μ-oxo diiron(III) species: structures and spectroscopic properties of [N5FeOFeX3]+ (X = Cl, Br) and implications for oxo-bridged dinuclear iron proteins (1989) (45)
The Hagedorn transition in noncommutative open string theory (2000) (45)
Anomaly Analysis of Brane-Antibrane Systems (2001) (44)
Superstring Theory: Introduction (2012) (43)
Two Lectures On The Jones Polynomial And Khovanov Homology (2014) (42)
The search for higher symmetry in string theory (1989) (42)
From superconductors and four-manifolds to weak interactions (2007) (42)
Notes On Holomorphic String And Superstring Theory Measures Of Low Genus (2013) (41)
Chiral Ring of Sp(N) and SO(N) Supersymmetric Gauge Theory in Four Dimensions (2003) (41)
Responses to: A. Jaffe and F. Quinn, “Theoretical mathematics: toward a cultural synthesis of mathematics and theoretical physics” [Bull. Amer. Math. Soc. (N.S.) 29 (1993), no. 1, 1–13; MR1202292 (94h:00007)] (1994) (41)
Super Atiyah classes and obstructions to splitting of supermoduli space (2014) (40)
Deformations of JT Gravity and Phase Transitions (2020) (39)
More On Superstring Perturbation Theory (2013) (38)
Vertex operators for AdS3 background with Ramond-Ramond flux (1999) (37)
The Nahm Pole Boundary Condition (2013) (37)
Stress in frictionless granular material: adaptive network simulations (1999) (36)
An Algebraic Construction of Boundary Quantum Field Theory (2010) (35)
The Feynman $i \epsilon$ in String Theory (2013) (35)
The Central Charge in Three Dimensions (1990) (34)
Global Symmetries in Four-dimensions and Higher Dimensions (1985) (34)
Some Details On The Gopakumar-Vafa and Ooguri-Vafa Formulas (2014) (33)
Two two-dimensional supergravity theories from Calabi–Yau four-folds (2000) (33)
Light rays, singularities, and all that (2019) (33)
Anisotropy in turbulent drag reduction. (1990) (32)
More On Gauge Theory And Geometric Langlands (2015) (32)
Global symmetries in four and higher dimensions (1986) (31)
The α′ expansion on a compact manifold of exceptional holonomy (2014) (31)
Dynamical properties of antisymmetric tensor fields (1981) (31)
The super period matrix with Ramond punctures (2015) (29)
The ferric chloride-.alpha.-diamine system. 3. X-ray crystallographic, magnetic susceptibility, and zero- and high-field Moessbauer spectroscopy investigation of bis(2,2'-bipyridine)dichloroiron(2+) tetrachloroferrate(2-): slow paramagnetic relaxation and magnetic ordering of complex bimetallic salt (1985) (29)
Mirror Symmetry, Hitchin's Equations, And Langlands Duality (2008) (29)
An Introduction To The Web-Based Formalism (2015) (28)
PHYSICAL INTERPRETATION OF CERTAIN STRONG COUPLING SINGULARITIES (1996) (28)
Lepton number and neutrino masses (2000) (28)
Physical law and the quest for mathematical understanding (2002) (27)
What every physicist should know about string theory (2015) (27)
Electric-Magnetic Duality And The Geometric (2007) (27)
Three-Dimensional Gravity Reconsidered (2007) (27)
Open strings on the Rindler horizon (2018) (27)
Viscous finger narrowing at the coil-stretch transition in a dilute polymer solution. (1992) (26)
Geometric Langlands duality and the equations of Nahm and Bogomolny (2009) (26)
On the hypothesis that cosmological dark matter is composed of ultra-light bosons (2016) (26)
BOSONIC STRING ALGEBRAS (1985) (25)
Interacting Lagrangian for massive spin-two field. (1989) (25)
A Note On Complex Spacetime Metrics (2021) (24)
Singularities in string theory (2002) (24)
Diagrammatic analysis of some contributions to the Δ I = 1 2 rule (1979) (23)
Thiocyanate-bridged transition-metal polymers. 4. A study of the structural, electronic, and magnetic properties of some mono(2,2'-bipyridyl) transition-metal thiocyanates: zigzag polymeric chains based on Mn(bpy)(NCS)2 and Co(bpy)(NCS)2 (1983) (23)
SURPRISES WITH TOPOLOGICAL FIELD THEORIES (1990) (23)
Anomaly Inflow and the $\eta$-Invariant (2019) (22)
Mirror symmetry as a gauge symmetry (1994) (21)
Unusually strong antiferromagnetic coupling in unsymmetrical diiron(III).mu.-oxo complexes (1990) (21)
Quest For Unification (2002) (21)
Shelter Island, II (1985) (20)
No ensemble averaging below the black hole threshold (2022) (19)
On the black hole/string transition (2021) (18)
The ferric chloride α-di-imine system. Part V. X-ray structure determination of tris(1,10-phenanthroline)iron(II)μ-oxo-bis(trichloroiron(III)·DMF (1983) (17)
Superstring Theory Vol. 2 : 25th Anniversary Edition (2012) (17)
Searching for a Black Hole in the Outer Solar System (2020) (17)
The KW equations and the Nahm pole boundary condition with knots (2017) (17)
Gravity and the Crossed Product (2021) (16)
Individual entanglements in a simulated polymer melt. (1995) (16)
Unravelling string theory (2005) (16)
Two lectures on gauge theory and Khovanov homology (2016) (15)
Chronic Pelvic Pain Syndrome-Related Diagnoses in an Outpatient Office Setting (2012) (15)
Supersymmetry breaking effects using the pure spinor formalism of the superstring (2014) (15)
Some Remarks about String Field Theory (1987) (14)
Superstring Theory: Low-energy effective action (2012) (12)
Gauge Theory and the Geometric Langlands Program (2005) (12)
BPS Bound States Of D 0D 6 and D 0D 8 Systems In A B-Field (12)
Duality and mock modularity (2020) (12)
FREE FERMIONS ON AN ALGEBRAIC CURVE (1987) (11)
High-energy physics: The mass question (2002) (11)
D=10 Superstring Theory (1983) (11)
Surface operators in gauge theory (2007) (11)
An Algebra of Observables for de Sitter Space (2022) (10)
Diffusion near absorbing fractals: Harmonic measure exponents for polymers. (1987) (10)
Two Dimensional String Theory And Black Holes (1992) (10)
Volumes And Random Matrices (2020) (10)
A Note On Some Minimally Supersymmetric Models In Two Dimensions (2019) (10)
Why Does Quantum Field Theory In Curved Spacetime Make Sense? And What Happens To The Algebra of Observables In The Thermodynamic Limit? (2021) (10)
Grand Unification with and without Supersymmetry (1984) (10)
Perturbative superstring theory revisited (2019) (9)
The Errors in the Fields Medals , 1982 to S . T . Yau and 1990 to E . (2014) (9)
Introduction to Supersymmetry (1983) (8)
Macrolattice formation in amorphous associating polymers. (1991) (8)
When symmetry breaks down (2004) (8)
Anomaly Cancellation On G2-Manifolds (2001) (8)
Space-Time Transitions in String Theory (1993) (8)
Superstring Theory: Some differential geometry (2012) (7)
Black holes and quark confinement (2001) (7)
The ferric chloride α-di-imine system. Part IV. X-ray structure determination of trichloro-(N,N-dimethyl-formamide)(1,10-phenanthroline)-iron(III), a meridional monomer (1983) (7)
Trieste Conference on Topological Methods in Quantum Field Theories : ICTP, Trieste, Italy, 11-15 June 1990 (1991) (7)
Exploration of the outer solar system with fast and small sailcraft (2020) (7)
Some questions for constructive field theorists (1995) (6)
Lectures on Geometry (2017) (6)
The Problem Of Gauge Theory (2008) (6)
Some comments on the recent twistor space constructions (1979) (6)
SUPERSYMMETRY AND OTHER SCENARIOS (2004) (6)
Noncommutative Yang-Mills theory and string theory (2002) (6)
The ferric chloride-α-diimine system (I) crystal structure of phenanthrolinium tetraclorophenanthrolineferrate(III), [phen H][Fe(phen)Cl4] (1981) (6)
New Perspectives on the Quest for Unification (1998) (5)
Kaluza-Klein Theory and the Positive Energy Theorem (1983) (5)
Probing quantization via branes (2021) (5)
Superstring perturbation theory via super Riemann surfaces: an overview (2019) (5)
The holes are defined by the string (1996) (5)
Searching for integrability (1992) (5)
Superstring Theory25th Anniversary Edition (2012) (4)
TOPOLOGICAL METHODS IN QUANTUM FIELD THEORIES (1991) (4)
HOLOMORPHIC CURVES ON MANIFOLDS OF SU(3) HOLONOMY (1987) (4)
The ferric chloride α-DI-imine systemVI (1984) (4)
Moduli webs and superpotentials for five-branes (4)
Superconducting cosmic strings (1986) (4)
Physics meets philosophy at the Planck scale: Reflections on the fate of spacetime (2001) (4)
Quasicontinuum variants of diffusion-limited aggregation. (1986) (3)
THIOCYANATE-BRIDGED TRANSITION-METAL POLYMERS. 4. A STUDY OF THE STRUCTURAL, ELECTRONIC, AND MAGNETIC PROPERTIES OF SOME MONO(2,2′-BIPYRIDYL) TRANSITION-METAL THIOCYANATES: ZIGZAG POLYMERIC CHAINS BASED ON MN(BPY)(NCS)2 AND CO(BPY)(NCS)2 (2002) (3)
Superstring Theory: World-sheet super symmetry in string theory (2012) (3)
SKYRMIONS AND QCD (1984) (3)
On Some Entanglement Properties Of Quantum Field Theory (2018) (3)
A slowly moving particle in a two-dimensional magnetic field (1979) (3)
A Note On Einstein, Bergmann, and the Fifth Dimension (2014) (3)
SOME PROPERTIES OF 0 ( 32 ) SUPERSTRINGS (3)
Superstring Modifications of Einstein'S Equations* (1988) (2)
GEOMETRY AND QUANTUM FIELD THEORY (1997) (2)
Quantum Mechanics of Black Holes (2012) (2)
Novel motifs for magnetic exchange interactions as exemplified in one dimensional magnets based on the FeCl3-α-di-imine system: Nuclear gamma resonance evidence of slow paramagnetic relaxation and 3D-ordering (1990) (2)
Physical Methods Applied to Donaldson Theory (1995) (2)
M theory and quantum mechanics (1998) (2)
Gauge Theory and the Analytic Form of the Geometric Langlands Program (2021) (2)
String theory and non-commutative gauge theory (2000) (2)
The ferric chloride α-Di-imine system. Part II. X-ray structure determination of 2,9-Di-CH3phenathrolinium tretrachlorferrate(III) (1981) (2)
Superstring Theory 2 Volume Hardback Set (2012) (2)
Possible third-order phase transition in the large-N lattice gauge theory (1993) (1)
Geometric Langlands And The Equations Of Nahm And Bogomolny (2021) (1)
Some Comments on Massive Neutrinos (1980) (1)
A note on continuous entropy (2022) (1)
Topology and Supersymmetric Nonlinear Sigma-Models (1987) (1)
Positive Energy and Kaluza-Klein Theory (1984) (1)
Phil Anderson and Gauge Symmetry Breaking (2016) (1)
Answering critics can add fuel to controversy (2006) (1)
Superstring Theory: Preface to the 25th Anniversary Edition (2012) (1)
THE FERRIC CHLORIDE-α-DIIMINE SYSTEM. I. CRYSTAL STRUCTURE OF PHENANTHROLINIUM TETRACHLORO(PHENANTHROLINE)FERRATE(III), (PHEN H)(FE(PHEN)CL4) (1981) (1)
Memories of Sir Michael Atiyah (2019) (1)
Reflections on LHC Physics (2010) (1)
Gauge theory and gravity (2002) (1)
Unification in Ten Dimensions (1986) (1)
Memories of Vaughan Jones (2021) (1)
Vistas in Theoretical Physics (1)
Ju l 2 01 6 A Duality Web in 2 + 1 Dimensions and Condensed Matter Physics (2016) (1)
A low temperature magnetic susceptibility study of phenanthrolinium pentachloro manganate(III): [PhenH2] [MnCl5] (1980) (1)
Note on "Scale-dependent enhancement and damping of vorticity disturbances by polymers in elongational flow" (1992) (1)
D-cores: measuring collaboration of directed graphs based on degeneracy (2013) (1)
AN INTERPRETATION OF CLASSICAL Y A N G-M I L L S THEORY (0)
Vertex operators forAdS 3 background with Ramond-Ramondflux (1999) (0)
Superstring Theory: Space-time supersymmetry in string theory (2012) (0)
Symmetries and Geometry (2016) (0)
Gauge theories and the Jones polynomial : special address, International Congress of Mathematicians, Kyoto, Japan, August, 1990 (1990) (0)
PREFACE TO THE 25TH ANNIVERSARY EDITION (2012) (0)
Superstring Theory: One-loop diagrams in superstring theory (2012) (0)
Superstring Theory: References (2012) (0)
Superstring Theory: Free bosonic strings (2012) (0)
New ideas about neutrino masses (1983) (0)
Fe b 20 02 A Gravity Dual of the Chiral Anomaly (2008) (0)
For an economic boycott and political nonrecognition of the Israeli settlements in the occupied territories (2016) (0)
A hefty textbook for an ever-changing discipline (2018) (0)
SUPERSTRINGS – A QUEST FOR A UNIFIED THEORY (2001) (0)
Geometry of Low-dimensional Manifolds: New results in Chern-Simons theory (1991) (0)
Thoughts about LHC physics (2008) (0)
Quantization And Topological Field Theory (2009) (0)
J un 2 01 2 Axion topological field theory of topological superconductors (2013) (0)
Superstring Theory: Functional methods in the light-cone gauge (2012) (0)
A LOW TEMPERATURE MAGNETIC SUSCEPTIBILITY STUDY OF PHENANTHROLINIUM PENTACHLORO MANGANATE(III): (PHENH2) (MNCL5) (1980) (0)
Some Problems in the Short Distance Analysis of Gauge Theories. (1976) (0)
Emergent Phenomena In Particle Physics (2006) (0)
A Novel Study on Social Comparison Processes and the Pratfall Effect in the Human-Robot Interaction (HRI) Domain (2019) (0)
Superstring Theory: The gauge anomaly in type I superstring theory (2012) (0)
Chiral symmetry breakdown in large‐N QCD (1980) (0)
The Construction of a High-Energy Collider: Interviews with Witten, Glashow and Weinberg (2017) (0)
Gauge Theory and the Geometric Langlands Program Edward Witten August 10 th , 2005 (2005) (0)
Twistor magic (1990) (0)
Integral Lattice Models from Gauge Theory (2016) (0)
On Supermanifolds And Integration (0)
The Aruri Case in Retrospect (1990) (0)
Final Report: "Strings 2014" (2015) (0)
Noe-Άbeliaii Boscmizatioii in Two Dimensions (2004) (0)
Family of exponents for Laplace's equation near a polymer. (1986) (0)
A note on the Einstein equation in string theory (1997) (0)
Nuclear Physics B142 (1978) 285-300 © North-Holland Publishing Company SOME PROPERTIES OF THE (~q02 MODEL IN TWO DIMENSIONS (2002) (0)
F eb 2 01 8 Gauge Theory And Integrability , II (2018) (0)
MINIINTRODUCTION TO STRINGS (1985) (0)
Math . Phys . 13 ( 2009 ) 1445 – 1518 Branes and quantization (2010) (0)
Superstring Theory: String Field Theory (2012) (0)
Dissenting Opinions about Tayseer Aruri (1989) (0)
Gauge theories and the Jones polynomial (1990) (0)
Flow and diffusion near a fractal: Partial saturation phenomena. (1987) (0)
THE FERRIC CHLORIDE α-DIIMINE SYSTEM. PART IV. X-RAY STRUCTURE DETERMINATION OF TRICHLORO(N,N-DIMETHYLFORMAMIDE)(1,10-PHENANTHROLINE)IRON(III), A MERIDIONAL MONOMER (1983) (0)
Chemistry : the science in context : solutions manual-student's version (2004) (0)
THE FERRIC CHLORIDE α-DIIMINE SYSTEM. PART II. X-RAY STRUCTURE DETERMINATION OF 2,9-DIMETHYLPHENANTHROLINIUM TETRACHLOROFERRATE(III) (1982) (0)
Superstring Theory: Modern covariant quantization (2012) (0)
NOTES ON ‘STATISTICAL MECHANICS WITH TOPOLOGICAL CONSTRAINTS: I & II’ (2004) (0)
Symmetry-protected topological insulator and its symmetry-enriched topologically ordered boundary (2017) (0)
Economic impacts of the S. S. Glacier Bay oil spill: Social and economic studies. Technical report (Final) (1990) (0)
Highlighting the usefulness of string theory (2016) (0)
STUDIES IN FIELD THEORIES: MHV VERTICES, TWISTOR SPACE, RECURSION RELATIONS AND CHIRAL RINGS (2005) (0)
Hunting the higgs (2002) (0)
Gauge/string Duality for Weak Coupling (2005) (0)
Elementary Particles and the Universe: Through the Clouds (1991) (0)
Can scientists ’ “ theory of everything ” really explain all the weirdness the universe displays ? (2004) (0)
Superstring Theory: Some algebraic geometry (2012) (0)
A DIAGRAMATIC ANALYSIS OF SOME CONTRIBUTIONS TO THE AI = l/2 RULE* (1979) (0)
Superstring Theory: Nonabelian gauge symmetry (2012) (0)
Tunneling effect for Witten Laplacians and Kramers operators ( After Helffer-Klein-Nier , Helffer-Nier and Hérau-Hitrik-Sjöstrand ) (2007) (0)
Superstring Theory: Bibliography (2012) (0)
The Ferric Chloride-α-Diamine System. Part 3. X-Ray Crystallographic, Magnetic Susceptibility, and Zero- and High-Field Mössbauer Spectroscopy Investigation of [Fe(2,2′-bpy)2Cl2][FeCl4]. Slow Paramagnetic Relaxation and Magnetic Order (1986) (0)
THE FERRIC CHLORIDE α-DIIMINE SYSTEM. PART V. X-RAY STRUCTURE DETERMINATION OF TRIS(1,10-PHENANTHROLINE)IRON(II)-μ-OXO-BIS(TRICHLOROIRON(III).DMF (1983) (0)
Topics in Quantum Theory If we're willing to get down into the weeds of the mathematical formalism of quantum theory, it's possible to explain the holographic principle of quantum gravity in a fairly straightforward way (0)
Integrable Neural Networks: Paradigm Shift (2019) (0)
Appeals for Tayseer Aruri (1989) (0)
Superstring Theory: One-loop diagrams in the bosonic string theory (2012) (0)
String Theory (2002) (0)
Superstring Theory: Tree amplitudes (2012) (0)
Amazing Half Century of Discovery (2017) (0)
String theory and geometry (1988) (0)
Superstring Theory: Models of low-energy supersymmetry (2012) (0)
ON QUANTUM FIELDS AND STRINGS FOR MATHEMATICIANS (2001) (0)
EPO's first year : an overview (1990) (0)
What every physicist should know about (2015) (0)
Quest for Unification Edward Witten (2003) (0)
Einstein, Egypt and former glories (2005) (0)
Superstring Theory: Compactification of higher dimensions (2012) (0)
Supersymmetry: Pro and Con (2003) (0)
GRAND UNIFICATION IN FOUR-DIMENSIONS OR TEN-DIMENSIONS (1985) (0)
Lecture One 1 . 1 Relativistic Dispersion In One Space Dimension (2018) (0)
For Strings In Twistor Space (2004) (0)
Circling the inverse square (1996) (0)
hep-th/9610234, IASSNS-HEP-96-101 FIVE-BRANE EFFECTIVE ACTION IN M -THEORY (1996) (0)

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