Journal of High Energy Physics, ISSN 1126-6708, 11/2017, Volume 2017, Issue 11, pp. 1 - 34

If super-Yang-Mills theory possesses the exact conformal invariance, there is an additional modular invariance under the change of the complex bare charge ....

Anomalies in Field and String Theories | Integrable Hierarchies | Supersymmetric Gauge Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Supersymmetry and Duality | Physics | Elementary Particles, Quantum Field Theory | YANG-MILLS | SCATTERING-THEORY | MATRIX MODELS | MIRROR SYMMETRY | GAUGE-THEORIES | CALOGERO-SUTHERLAND MODEL | SUSY FIELD-THEORIES | SEIBERG-WITTEN THEORY | DIMENSIONAL INTEGRABLE SYSTEMS | ACTION-ANGLE MAPS | PHYSICS, PARTICLES & FIELDS | Yang-Mills theory | Invariance | Physics - High Energy Physics - Theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory

Anomalies in Field and String Theories | Integrable Hierarchies | Supersymmetric Gauge Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Supersymmetry and Duality | Physics | Elementary Particles, Quantum Field Theory | YANG-MILLS | SCATTERING-THEORY | MATRIX MODELS | MIRROR SYMMETRY | GAUGE-THEORIES | CALOGERO-SUTHERLAND MODEL | SUSY FIELD-THEORIES | SEIBERG-WITTEN THEORY | DIMENSIONAL INTEGRABLE SYSTEMS | ACTION-ANGLE MAPS | PHYSICS, PARTICLES & FIELDS | Yang-Mills theory | Invariance | Physics - High Energy Physics - Theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 5/2016, Volume 2016, Issue 5, pp. 1 - 44

We consider Dotsenko-Fateev matrix models associated with compactified Calabi-Yau threefolds. They can be constructed with the help of explicit expressions for...

Topological Strings | Brane Dynamics in Gauge Theories | Integrable Hierarchies | String Duality | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | AGT RELATIONS | YANG-BAXTER EQUATION | SUPERSYMMETRIC GAUGE | MATRIX MODELS | MIRROR SYMMETRY | RUIJSENAARS-SCHNEIDER MODEL | INTEGRABLE SYSTEMS | SUSY FIELD-THEORIES | SEIBERG-WITTEN THEORY | CONFORMAL BLOCKS | PHYSICS, PARTICLES & FIELDS | Analysis | Information management | Research institutes | Gauge theory | Amplitudes | Integrals | Chains | Mathematical models | Spectra | Topology | Strings | Physics - High Energy Physics - Theory | High Energy Physics | Symplectic Geometry | Nuclear and High Energy Physics | Theory | Mathematics | High Energy Physics - Theory

Topological Strings | Brane Dynamics in Gauge Theories | Integrable Hierarchies | String Duality | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | AGT RELATIONS | YANG-BAXTER EQUATION | SUPERSYMMETRIC GAUGE | MATRIX MODELS | MIRROR SYMMETRY | RUIJSENAARS-SCHNEIDER MODEL | INTEGRABLE SYSTEMS | SUSY FIELD-THEORIES | SEIBERG-WITTEN THEORY | CONFORMAL BLOCKS | PHYSICS, PARTICLES & FIELDS | Analysis | Information management | Research institutes | Gauge theory | Amplitudes | Integrals | Chains | Mathematical models | Spectra | Topology | Strings | Physics - High Energy Physics - Theory | High Energy Physics | Symplectic Geometry | Nuclear and High Energy Physics | Theory | Mathematics | High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 5/2016, Volume 2016, Issue 5, pp. 1 - 35

Inspired by recent connections between spectral theory and topological string theory, we propose exact quantization conditions for the relativistic Toda...

Topological Strings | Lattice Integrable Models | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Nonperturbative Effects | Elementary Particles, Quantum Field Theory | SEIBERG-WITTEN THEORY | INSTANTONS | PHYSICS, PARTICLES & FIELDS | String theory | Analysis | Manifolds | Mathematical analysis | Lattices | Quantization | Transformations | Plancks constant | Joints | Free energy | Mathematics - Spectral Theory | Mathematical Physics | Nuclear and High Energy Physics | High Energy Physics - Theory

Topological Strings | Lattice Integrable Models | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Nonperturbative Effects | Elementary Particles, Quantum Field Theory | SEIBERG-WITTEN THEORY | INSTANTONS | PHYSICS, PARTICLES & FIELDS | String theory | Analysis | Manifolds | Mathematical analysis | Lattices | Quantization | Transformations | Plancks constant | Joints | Free energy | Mathematics - Spectral Theory | Mathematical Physics | Nuclear and High Energy Physics | High Energy Physics - Theory

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 2012, Volume 855, Issue 1, pp. 128 - 151

We extend the proof from Mironov et al. (2011) [25], which interprets the AGT relation as the HubbardāStratonovich duality relation to the case of 5 d gauge...

SeibergāWitten theory | Matrix models | AGT conjecture | (5 d) [formula omitted] SUSY gauge theory | ( q-)Virasoro algebra | (5d) N=2 SUSY gauge theory | Seiberg-Witten theory | (q-)Virasoro algebra | HAMILTONIAN REDUCTION | ZUMINO-WITTEN MODEL | PARAFERMIONS | GAUGE-THEORIES | SYMMETRY | INTEGRABLE SYSTEMS | POINT-OF-VIEW | CONFORMAL BLOCKS | FREE-FIELD REPRESENTATION | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

SeibergāWitten theory | Matrix models | AGT conjecture | (5 d) [formula omitted] SUSY gauge theory | ( q-)Virasoro algebra | (5d) N=2 SUSY gauge theory | Seiberg-Witten theory | (q-)Virasoro algebra | HAMILTONIAN REDUCTION | ZUMINO-WITTEN MODEL | PARAFERMIONS | GAUGE-THEORIES | SYMMETRY | INTEGRABLE SYSTEMS | POINT-OF-VIEW | CONFORMAL BLOCKS | FREE-FIELD REPRESENTATION | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Letters in Mathematical Physics, ISSN 0377-9017, 12/2017, Volume 107, Issue 12, pp. 2359 - 2413

We elucidate the relation between PainlevĆ© equations and four-dimensional rank one $$\mathcal {N} = 2$$ N = 2 theories by identifying the connection associated...

Theoretical, Mathematical and Computational Physics | Complex Systems | Supersymmetric gauge theory | Isomonodromic deformation | 34M56 | PainlevĆ© $$\tau $$ Ļ -function | Physics | Geometry | 14H70 | PainlevĆ© equation | Argyres-Douglas theory | 81T60 | Group Theory and Generalizations | PainlevĆ© Ļ-function | YANG-MILLS THEORY | WHITHAM HIERARCHY | INTEGRABILITY | FIELD-THEORIES | Painleve tau-function | EQUATIONS | PHYSICS, MATHEMATICAL | GLOBAL SYMMETRY | Painleve equation | GAUGE-THEORIES | SEIBERG-WITTEN THEORY | MASSIVE HYPERMULTIPLETS | FIXED-POINTS

Theoretical, Mathematical and Computational Physics | Complex Systems | Supersymmetric gauge theory | Isomonodromic deformation | 34M56 | PainlevĆ© $$\tau $$ Ļ -function | Physics | Geometry | 14H70 | PainlevĆ© equation | Argyres-Douglas theory | 81T60 | Group Theory and Generalizations | PainlevĆ© Ļ-function | YANG-MILLS THEORY | WHITHAM HIERARCHY | INTEGRABILITY | FIELD-THEORIES | Painleve tau-function | EQUATIONS | PHYSICS, MATHEMATICAL | GLOBAL SYMMETRY | Painleve equation | GAUGE-THEORIES | SEIBERG-WITTEN THEORY | MASSIVE HYPERMULTIPLETS | FIXED-POINTS

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 4/2016, Volume 2016, Issue 4, pp. 1 - 59

In fivebrane compactifications on 3-manifolds, we point out the importance of all flat connections in the proper definition of the effective 3d N = 2 $$...

Supersymmetric gauge theory | Topological Field Theories | Quantum Physics | Quantum Field Theories, String Theory | Chern-Simons Theories | Classical and Quantum Gravitation, Relativity Theory | Supersymmetry and Duality | Physics | Elementary Particles, Quantum Field Theory | INSTANTONS | CHERN-SIMONS THEORY | VARIETIES | KNOT INVARIANTS | MIRROR SYMMETRY | GAUGE-THEORIES | DUALITY | SEIBERG-WITTEN THEORY | HOMOLOGY | D-BRANES | PHYSICS, PARTICLES & FIELDS | Cutting | Construction | Flats | Texts | Polynomials | Joints | Invariants | Three dimensional | Mathematics - Quantum Algebra | Mathematics - Geometric Topology | Nuclear and High Energy Physics | Geometric Topology | math.QA | Mathematics | math.GT | High Energy Physics - Theory | Symplectic Geometry | hep-th | Physical Sciences and Mathematics | supersymmetric gauge theory | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | Chern-Simons theories | supersymmetry and duality | topological field theories

Supersymmetric gauge theory | Topological Field Theories | Quantum Physics | Quantum Field Theories, String Theory | Chern-Simons Theories | Classical and Quantum Gravitation, Relativity Theory | Supersymmetry and Duality | Physics | Elementary Particles, Quantum Field Theory | INSTANTONS | CHERN-SIMONS THEORY | VARIETIES | KNOT INVARIANTS | MIRROR SYMMETRY | GAUGE-THEORIES | DUALITY | SEIBERG-WITTEN THEORY | HOMOLOGY | D-BRANES | PHYSICS, PARTICLES & FIELDS | Cutting | Construction | Flats | Texts | Polynomials | Joints | Invariants | Three dimensional | Mathematics - Quantum Algebra | Mathematics - Geometric Topology | Nuclear and High Energy Physics | Geometric Topology | math.QA | Mathematics | math.GT | High Energy Physics - Theory | Symplectic Geometry | hep-th | Physical Sciences and Mathematics | supersymmetric gauge theory | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | Chern-Simons theories | supersymmetry and duality | topological field theories

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 2/2011, Volume 2011, Issue 2, pp. 1 - 41

The AGT conjecture claims an equivalence of conformal blocks in 2d CFT and sums of Nekrasov functions (instantonic sums in 4d SUSY gauge theory). The conformal...

Supersymmetric gauge theory | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Matrix Models | Physics | Elementary Particles, Quantum Field Theory | Conformal and W symmetry | Matrix models | 1ST SPECIAL-FUNCTIONS | HAMILTONIAN REDUCTION | SUPERSYMMETRIC GAUGE | GAUGE-THEORIES | INTEGRABLE SYSTEMS | POINT-OF-VIEW | SUSY FIELD-THEORIES | SEIBERG-WITTEN THEORY | CONFORMAL BLOCKS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Supersymmetric gauge theory | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Matrix Models | Physics | Elementary Particles, Quantum Field Theory | Conformal and W symmetry | Matrix models | 1ST SPECIAL-FUNCTIONS | HAMILTONIAN REDUCTION | SUPERSYMMETRIC GAUGE | GAUGE-THEORIES | INTEGRABLE SYSTEMS | POINT-OF-VIEW | SUSY FIELD-THEORIES | SEIBERG-WITTEN THEORY | CONFORMAL BLOCKS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 2010, Volume 825, Issue 1, pp. 1 - 37

We consider the AGT relation (Alday et al., 2009 [1]), expressing conformal blocks for the Virasoro and W-algebras in terms of Nekrasov's special functions, in...

YANG-MILLS THEORY | CONFORMAL SYMMETRY | N=2 SUPERSYMMETRIC QCD | QUANTUM-FIELD THEORY | MULTIPOINT CORRELATION-FUNCTIONS | SEIBERG-WITTEN THEORY | MATRIX MODELS | STRING THEORY | INTEGRABLE SPIN CHAINS | 2 DIMENSIONS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

YANG-MILLS THEORY | CONFORMAL SYMMETRY | N=2 SUPERSYMMETRIC QCD | QUANTUM-FIELD THEORY | MULTIPOINT CORRELATION-FUNCTIONS | SEIBERG-WITTEN THEORY | MATRIX MODELS | STRING THEORY | INTEGRABLE SPIN CHAINS | 2 DIMENSIONS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 12/2013, Volume 2013, Issue 12, pp. 1 - 42

We generalize our analysis in [ arXiv:1301.1977 ], and show that a 5d and 6d AGT correspondence for SU(N) ā which essentially relates the relevant 5d and 6d...

M-Theory | String Duality | Quantum Physics | Differential and Algebraic Geometry | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Differential and algebraic geometry | Conformal and W symmetry | M-theory | String duality | DIMENSIONS | GAUGE-THEORIES | ORIGIN | SUSY FIELD-THEORIES | SEIBERG-WITTEN THEORY | MODEL | PHYSICS, PARTICLES & FIELDS | Analysis | Algebra | Functions (mathematics) | Operators (mathematics) | Partitions | M theory | Mathematical analysis | Spectra | Representations | Instantons

M-Theory | String Duality | Quantum Physics | Differential and Algebraic Geometry | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Differential and algebraic geometry | Conformal and W symmetry | M-theory | String duality | DIMENSIONS | GAUGE-THEORIES | ORIGIN | SUSY FIELD-THEORIES | SEIBERG-WITTEN THEORY | MODEL | PHYSICS, PARTICLES & FIELDS | Analysis | Algebra | Functions (mathematics) | Operators (mathematics) | Partitions | M theory | Mathematical analysis | Spectra | Representations | Instantons

Journal Article

Journal of High Energy Physics, ISSN 1029-8479, 11/2019, Volume 2019, Issue 11, pp. 1 - 49

We generalize Nakajima-Yoshioka blowup equations to arbitrary gauge group with hypermultiplets in arbitrary representations. Using our blowup equations, we...

Brane Dynamics in Gauge Theories | Solitons Monopoles and Instantons | Quantum Physics | Differential and Algebraic Geometry | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | SUPERSYMMETRIC GAUGE-THEORIES | BREAKING | SEIBERG-WITTEN | FIELD-THEORIES | FORMULA | ELLIPTIC GENERA | SYMMETRY | DONALDSON | FIXED-POINTS | SHEAVES | PHYSICS, PARTICLES & FIELDS | Partitions (mathematics) | Partitions | Gauge theory | Representations | Mathematical analysis | Instantons

Brane Dynamics in Gauge Theories | Solitons Monopoles and Instantons | Quantum Physics | Differential and Algebraic Geometry | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | SUPERSYMMETRIC GAUGE-THEORIES | BREAKING | SEIBERG-WITTEN | FIELD-THEORIES | FORMULA | ELLIPTIC GENERA | SYMMETRY | DONALDSON | FIXED-POINTS | SHEAVES | PHYSICS, PARTICLES & FIELDS | Partitions (mathematics) | Partitions | Gauge theory | Representations | Mathematical analysis | Instantons

Journal Article

2006, International series of monographs on physics, ISBN 9780198567639, Volume 132., xiii, 324

The book begins with a brief review of supersymmetry, and the construction of the minimal supersymmetric standard model and approaches to supersymmetry...

Supersymmetry | Physics | Astronomy and Astrophysics | Affleck-dine-seiberg superpotential | Holomorphy | Seiberg-witten theory | Supersymmetry breaking | Anti-de sitter/conformal field theory | Minimal supersymmetric standard model | Superconformal field theories | Seiberg duality | Supergravity theories | Non-perturbative methods

Supersymmetry | Physics | Astronomy and Astrophysics | Affleck-dine-seiberg superpotential | Holomorphy | Seiberg-witten theory | Supersymmetry breaking | Anti-de sitter/conformal field theory | Minimal supersymmetric standard model | Superconformal field theories | Seiberg duality | Supergravity theories | Non-perturbative methods

Book

International Journal of Modern Physics A, ISSN 0217-751X, 11/2017, Volume 32, Issue 33, p. 1750201

In this paper we discuss the boson/vortex duality by mapping the (3 + 1)D GrossāPitaevskii theory into an effective string theory in the presence of...

effective string theory | D-brane | dark soliton | boson/vortex duality | Gross-Pitaevskii theory | noncommutative tachyon field theory | noncommutative soliton | PHYSICS, NUCLEAR | STRING THEORY | PHYSICS, PARTICLES & FIELDS | String theory | Analysis

effective string theory | D-brane | dark soliton | boson/vortex duality | Gross-Pitaevskii theory | noncommutative tachyon field theory | noncommutative soliton | PHYSICS, NUCLEAR | STRING THEORY | PHYSICS, PARTICLES & FIELDS | String theory | Analysis

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 12/2007, Volume 2007, Issue 12, pp. 049 - 49

We show that the matrix-model action for noncommutative U(n) gauge theory actually describes SU(n) gauge theory coupled to gravity. This is elaborated in the...

Non-commutative geometry | Models of quantum gravity | M(atrix) theories | Gauge symmetry | models of quantum gravity | SEIBERG-WITTEN MAP | SUPERGRAVITY | YANG-MILLS | gauge symmetry | FIELD-THEORY | SPACES | DEFORMATION | SYMMETRY | non-commutative geometry | m(atrix) theories | FUZZY CP2 | SCALE | IIB MATRIX MODEL | PHYSICS, PARTICLES & FIELDS

Non-commutative geometry | Models of quantum gravity | M(atrix) theories | Gauge symmetry | models of quantum gravity | SEIBERG-WITTEN MAP | SUPERGRAVITY | YANG-MILLS | gauge symmetry | FIELD-THEORY | SPACES | DEFORMATION | SYMMETRY | non-commutative geometry | m(atrix) theories | FUZZY CP2 | SCALE | IIB MATRIX MODEL | PHYSICS, PARTICLES & FIELDS

Journal Article