Journal of High Energy Physics, ISSN 1126-6708, 12/2011, Volume 2011, Issue 12, pp. 1 - 22

.... They realize the symmetry algebra in general only up to a field-dependent central extension that satisfies a suitably generalized cocycle condition...

Black Holes | Gauge-gravity correspondence | Classical Theories of Gravity | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | GENERAL-RELATIVITY | ASYMPTOTIC SYMMETRIES | FIELD | GRAVITATIONAL WAVES | SPACETIME | GRAVITY | PHYSICS, PARTICLES & FIELDS | Gravity | Algebra | Superrotation

Black Holes | Gauge-gravity correspondence | Classical Theories of Gravity | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | GENERAL-RELATIVITY | ASYMPTOTIC SYMMETRIES | FIELD | GRAVITATIONAL WAVES | SPACETIME | GRAVITY | PHYSICS, PARTICLES & FIELDS | Gravity | Algebra | Superrotation

Journal Article

International Journal of Modern Physics A, ISSN 0217-751X, 02/2017, Volume 32, Issue 5, p. 1750024

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 2/2019, Volume 2019, Issue 2, pp. 1 - 46

In this paper we study an algebra that naturally combines two familiar operations in scattering amplitudes...

Scattering Amplitudes | Supersymmetric Gauge Theory | Quantum Physics | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | COHOMOLOGY | PHYSICS, PARTICLES & FIELDS | Polytopes | Amplitudes | Algebra | Singularities | Scattering | Canonical forms

Scattering Amplitudes | Supersymmetric Gauge Theory | Quantum Physics | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | COHOMOLOGY | PHYSICS, PARTICLES & FIELDS | Polytopes | Amplitudes | Algebra | Singularities | Scattering | Canonical forms

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 02/2019, Volume 2019, Issue 2, pp. 1 - 36

Recently, Gaiotto and Rapak (GR) proposed a new family of the vertex operator algebra (VOA...

Conformal Field Theory | Supersymmetric Gauge Theory | Conformal and W Symmetry | INVARIANCE | REPRESENTATION | FORMULA | HIGHEST WEIGHT MODULES | PHYSICS, PARTICLES & FIELDS | Algebra | Partitions | Webs | Branes

Conformal Field Theory | Supersymmetric Gauge Theory | Conformal and W Symmetry | INVARIANCE | REPRESENTATION | FORMULA | HIGHEST WEIGHT MODULES | PHYSICS, PARTICLES & FIELDS | Algebra | Partitions | Webs | Branes

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 8/2017, Volume 2017, Issue 8, pp. 1 - 25

For any 4d N $$ \mathcal{N} $$ = 2 SCFT, there is a subsector described by a 2d chiral algebra...

Conformal Field Theory | Extended Supersymmetry | Supersymmetric Gauge Theory | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | MODULES | FUSION | REPRESENTATIONS | FRACTIONAL LEVEL | SINGULAR VECTORS | SUPERCONFORMAL FIELD-THEORIES | PHYSICS, PARTICLES & FIELDS | Algebra | Fugacity | Operators (mathematics) | Generators | Grading | Mathematics - Quantum Algebra | Nuclear and particle physics. Atomic energy. Radioactivity | Mathematics | High Energy Physics - Theory | Lattice | Mathematics - Representation Theory | High Energy Physics | Quantum Algebra | Representation Theory | 70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Conformal Field Theory | Extended Supersymmetry | Supersymmetric Gauge Theory | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | MODULES | FUSION | REPRESENTATIONS | FRACTIONAL LEVEL | SINGULAR VECTORS | SUPERCONFORMAL FIELD-THEORIES | PHYSICS, PARTICLES & FIELDS | Algebra | Fugacity | Operators (mathematics) | Generators | Grading | Mathematics - Quantum Algebra | Nuclear and particle physics. Atomic energy. Radioactivity | Mathematics | High Energy Physics - Theory | Lattice | Mathematics - Representation Theory | High Energy Physics | Quantum Algebra | Representation Theory | 70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 11/2018, Volume 2018, Issue 11, pp. 1 - 89

We associate vertex operator algebras to (p, q)-webs of interfaces in the topologically twisted N = 4 $$ \mathcal{N}=4...

D-branes | Conformal Field Theory | Supersymmetric Gauge Theory | BRST Quantization | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | MATRIX | INSTANTONS | QUANTUM-FIELD THEORY | MODULI | OPERATOR ALGEBRA | UNITARY REPRESENTATIONS | CONSTRUCTION | DUALITY | PHYSICS, PARTICLES & FIELDS | Algebra | Well construction | Gluing | Yang-Mills theory | Webs | Lie groups | Yttrium

D-branes | Conformal Field Theory | Supersymmetric Gauge Theory | BRST Quantization | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | MATRIX | INSTANTONS | QUANTUM-FIELD THEORY | MODULI | OPERATOR ALGEBRA | UNITARY REPRESENTATIONS | CONSTRUCTION | DUALITY | PHYSICS, PARTICLES & FIELDS | Algebra | Well construction | Gluing | Yang-Mills theory | Webs | Lie groups | Yttrium

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 6/2012, Volume 2012, Issue 6, pp. 1 - 15

...JHEP06(2012)061 Published for SISSA by Springer Received : March 20, 2012 Accepted : May 15, 2012 Published : June 11, 2012 Algebras for amplitudes N.E.J...

Gauge Symmetry | Scattering Amplitudes | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Gauge symmetry | Scattering amplitudes | GENERAL RELATIVITY | GRAVITATIONAL WAVES | PHYSICS, PARTICLES & FIELDS | Algebra | Permutations | Amplitudes | Gauge theory | Apexes | Kinematics | Color | Physics - High Energy Physics - Theory

Gauge Symmetry | Scattering Amplitudes | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Gauge symmetry | Scattering amplitudes | GENERAL RELATIVITY | GRAVITATIONAL WAVES | PHYSICS, PARTICLES & FIELDS | Algebra | Permutations | Amplitudes | Gauge theory | Apexes | Kinematics | Color | Physics - High Energy Physics - Theory

Journal Article

Letters in Mathematical Physics, ISSN 0377-9017, 06/2018, Volume 108, Issue 6, pp. 1351 - 1381

For a quiver with weighted arrows, we define gauge-theory K-theoretic W-algebra generalizing the definition of Shiraishi et al...

W-algebras | Supersymmetric gauge theories | Quiver | instanton | Conformal field theories | Quantum groups | QUANTUM AFFINE ALGEBRAS | INSTANTONS | VARIETIES | KAC-MOODY ALGEBRAS | PHYSICS, MATHEMATICAL | VIRASORO | GAUGE-THEORIES | DEFORMATIONS | K-THEORY | HALL ALGEBRAS | Algebra

W-algebras | Supersymmetric gauge theories | Quiver | instanton | Conformal field theories | Quantum groups | QUANTUM AFFINE ALGEBRAS | INSTANTONS | VARIETIES | KAC-MOODY ALGEBRAS | PHYSICS, MATHEMATICAL | VIRASORO | GAUGE-THEORIES | DEFORMATIONS | K-THEORY | HALL ALGEBRAS | Algebra

Journal Article

Geometry and Topology, ISSN 1465-3060, 03/2018, Volume 22, Issue 3, pp. 1267 - 1348

Geom. Topol. 22 (2018) 1267-1348 We define a Poisson Algebra called the {\em swapping algebra} using the intersection of curves in the disk...

Teichm ller theory | Gauge theory | Poisson algebra

Teichm ller theory | Gauge theory | Poisson algebra

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 1/2019, Volume 2019, Issue 1, pp. 1 - 88

We introduce a class of Vertex Operator Algebras which arise at junctions of supersymmetric interfaces in N $$ \mathcal{N...

Wilson, ’t Hooft and Polyakov loops | Duality in Gauge Field Theories | Extended Supersymmetry | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | t Hooft and Polyakov loops | FIELD-THEORY | Wilson | REPRESENTATION | DUALITY | BRANES | QUANTIZATION | PHYSICS, PARTICLES & FIELDS | Supersymmetry | Gauge theory | Algebra | Dislocations

Wilson, ’t Hooft and Polyakov loops | Duality in Gauge Field Theories | Extended Supersymmetry | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | t Hooft and Polyakov loops | FIELD-THEORY | Wilson | REPRESENTATION | DUALITY | BRANES | QUANTIZATION | PHYSICS, PARTICLES & FIELDS | Supersymmetry | Gauge theory | Algebra | Dislocations

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 5/2017, Volume 2017, Issue 5, pp. 1 - 43

.... Each such defect gives rise to a module of the associated chiral algebra and the surface defect Schur index is the character of this module...

Supersymmetric Gauge Theory | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | DIMENSIONS | GAUGE-THEORIES | MODELS | FIELD-THEORIES | W-ALGEBRAS | DUALITY | ELLIPTIC GENERA | PHYSICS, PARTICLES & FIELDS | Algebra | Surface defects | Defects | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | Mathematics - Representation Theory | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Supersymmetric Gauge Theory | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | DIMENSIONS | GAUGE-THEORIES | MODELS | FIELD-THEORIES | W-ALGEBRAS | DUALITY | ELLIPTIC GENERA | PHYSICS, PARTICLES & FIELDS | Algebra | Surface defects | Defects | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | Mathematics - Representation Theory | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 01/2019, Volume 2019, Issue 1, pp. 1 - 13

The appearance of L structures for supersymmetric symmetry algebras in two-dimensional conformal field theories is investigated...

Gauge Symmetry | Conformal and W Symmetry | PHYSICS, PARTICLES & FIELDS | Algebra | Supersymmetry

Gauge Symmetry | Conformal and W Symmetry | PHYSICS, PARTICLES & FIELDS | Algebra | Supersymmetry

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 3/2018, Volume 2018, Issue 3, pp. 1 - 70

... $$ to generic quantum toroidal algebras. A nearly exhaustive presentation is given for both U q , t g l ^ ^ 1 $$ {U}_{q,t}\left({\widehat{\widehat{\mathfrak{gl}}}_1\right...

Topological Strings | Conformal Field Theory | Supersymmetric Gauge Theory | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | YANG-BAXTER EQUATION | QUIVER VARIETIES | DIFFERENCE-EQUATIONS | ZUMINO-WITTEN MODELS | GENERALIZED MATRIX MODELS | CALOGERO-SUTHERLAND MODEL | CONFORMAL FIELD-THEORY | AFFINE ALGEBRAS | INTEGRABLE SYSTEMS | 2 DIMENSIONS | PHYSICS, PARTICLES & FIELDS | Analysis | Algebra | Beer | Operators (mathematics) | Correlators | Mathematical models | Periodic variations | Mathematics - Quantum Algebra | Mathematical Physics | Theory | Nuclear and particle physics. Atomic energy. Radioactivity | Mathematics | High Energy Physics - Theory | Mathematics - Representation Theory | High Energy Physics | Quantum Algebra

Topological Strings | Conformal Field Theory | Supersymmetric Gauge Theory | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | YANG-BAXTER EQUATION | QUIVER VARIETIES | DIFFERENCE-EQUATIONS | ZUMINO-WITTEN MODELS | GENERALIZED MATRIX MODELS | CALOGERO-SUTHERLAND MODEL | CONFORMAL FIELD-THEORY | AFFINE ALGEBRAS | INTEGRABLE SYSTEMS | 2 DIMENSIONS | PHYSICS, PARTICLES & FIELDS | Analysis | Algebra | Beer | Operators (mathematics) | Correlators | Mathematical models | Periodic variations | Mathematics - Quantum Algebra | Mathematical Physics | Theory | Nuclear and particle physics. Atomic energy. Radioactivity | Mathematics | High Energy Physics - Theory | Mathematics - Representation Theory | High Energy Physics | Quantum Algebra

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 5/2013, Volume 2013, Issue 5, pp. 1 - 19

We discuss an intriguing link between the symmetries of the tensionless limit of closed string theory and the 2-dimensional Galilean Conformal Algebra (2d GCA...

Gauge-gravity correspondence | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Bosonic Strings | ASYMPTOTIC SYMMETRIES | LIMIT | HIGHER SPINS | PHYSICS, PARTICLES & FIELDS | Algebra | String theory | Links | Strings | Gages | Three dimensional | Gauges | Symmetry | Physics - High Energy Physics - Theory

Gauge-gravity correspondence | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Bosonic Strings | ASYMPTOTIC SYMMETRIES | LIMIT | HIGHER SPINS | PHYSICS, PARTICLES & FIELDS | Algebra | String theory | Links | Strings | Gages | Three dimensional | Gauges | Symmetry | Physics - High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1029-8479, 1/2014, Volume 2014, Issue 1, pp. 1 - 9

.... We show that the asymptotic symmetry algebra of our boundary conditions is a Virasoro algebra with Brown-Henneaux central charge c and an sl(2, $ \mathbb{R...

Space-Time Symmetries | Gauge Symmetry | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | 2D Gravity | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Algebra | Gravity | Physics - High Energy Physics - Theory | High Energy Physics | Nuclear and High Energy Physics | Theory | High Energy Physics - Theory

Space-Time Symmetries | Gauge Symmetry | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | 2D Gravity | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Algebra | Gravity | Physics - High Energy Physics - Theory | High Energy Physics | Nuclear and High Energy Physics | Theory | High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 10/2018, Volume 2018, Issue 10, pp. 1 - 60

.... The supersymmetric locus of this action is described by an L 3 algebra.

Superstring Vacua | Flux compactifications | Superstrings and Heterotic Strings | Quantum Physics | Differential and Algebraic Geometry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | SUPERSYMMETRY | TORSION | CONNECTIONS | MODULI | SPACE | GAUGE-THEORY | MANIFOLDS | GEOMETRY | PHYSICS, PARTICLES & FIELDS | Supersymmetry | Deformation | Parameter identification | Mathematical analysis

Superstring Vacua | Flux compactifications | Superstrings and Heterotic Strings | Quantum Physics | Differential and Algebraic Geometry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | SUPERSYMMETRY | TORSION | CONNECTIONS | MODULI | SPACE | GAUGE-THEORY | MANIFOLDS | GEOMETRY | PHYSICS, PARTICLES & FIELDS | Supersymmetry | Deformation | Parameter identification | Mathematical analysis

Journal Article