W(1+infinity) algebra as a symmetry behind AGT relation

Abstract

We give some evidences which imply that W(1+infinity) algebra describes the symmetry behind AGT(-W) conjecture: a correspondence between the partition function of N=2 supersymmetric quiver gauge theories and the correlators of Liouville (Toda) field theory.

27 pages

References in corpus (44)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• Liouville Correlation Functions from Four-dimensional Gauge Theories
• N=2 dualities
• Structure Constants and Conformal Bootstrap in Liouville Field Theory
• A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
• Two and three-point functions in Liouville theory
• Loop and surface operators in N=2 gauge theory and Liouville modular geometry
• Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
• On AGT relation in the case of U(3)
• On combinatorial expansion of the conformal blocks arising from AGT conjecture
• W_{1+\infty} and W(gl_N) with central charge N
• The Virtue of Defects in 4D Gauge Theories and 2D CFTs
• Collective fields, Calogero-Sutherland model and generalized matrix models
• Correlation functions in conformal Toda field theory I
• Surface Operators in N=2 4d Gauge Theories
• A & B model approaches to surface operators and Toda theories
• Deformed Prepotential, Quantum Integrable System and Liouville Field Theory
• Hitchin systems, N=2 gauge theories and W-gravity
• Seiberg-Witten Theory and Random Partitions
• Excited States of Calogero-Sutherland Model and Singular Vectors of the $W_N$ Algebra
• A direct proof of AGT conjecture at beta = 1
• Seiberg-Witten theory, matrix model and AGT relation
• Surface Operator, Bubbling Calabi-Yau and AGT Relation
• Stable Hierarchical Quantum Hall Fluids as W-(1 + infinity) Minimal Models
• Representation Theory of The $W_{1+\infty }$ Algebra
• Chiral Deformations of Conformal Field Theories
• Affine orbifolds and rational conformal field theory extensions of W_{1+infinity}
• N=2 gauge theories and degenerate fields of Toda theory
• Towards a proof of AGT conjecture by methods of matrix models
• AGT conjecture and Integrable structure of Conformal field theory for c=1
• Massive Scaling Limit of beta-Deformed Matrix Model of Selberg Type
• Resolvents and Seiberg-Witten representation for Gaussian beta-ensemble
• On differential equation on four-point correlation function in the Conformal Toda Field Theory
• Analysis of correlation functions in Toda theory and AGT-W relation for SU(3) quiver
• Quiver Matrix Model and Topological Partition Function in Six Dimensions
• Localization with a Surface Operator, Irregular Conformal Blocks and Open Topological String
• Moore-Read Fractional Quantum Hall wavefunctions and SU(2) quiver gauge theories
• Determinant and Character of W-infinity algebra
• Eigensystem and Full Character Formula of the W_{1+infinity} Algebra with c=1
• Crystal Melting and Black Holes
• Determinant Formulae of Quasi-Finite Representation of W_{1+\infty} Algebra at Lower Levels
• Free Fields and Quasi-Finite Representation of $W_{1+\infty }$ Algebra
• (de)Tails of Toda CFT

Cited by in corpus (15)

• Ding-Iohara-Miki symmetry of network matrix models
• Explicit examples of DIM constraints for network matrix models
• Conformal blocks in Virasoro and W theories: duality and the Calogero-Sutherland model
• W_3 irregular states and isolated N=2 superconformal field theories
• A slow review of the AGT correspondence
• Selberg Integral and SU(N) AGT Conjecture
• Virasoro constraint for Nekrasov instanton partition function
• Confinement and Mayer cluster expansions
• On Factorization of Generalized Macdonald Polynomials
• Spherical Hecke algebra in the Nekrasov-Shatashvili limit
• Notes on Mayer Expansions and Matrix Models
• Argyres-Douglas Theories, S-duality and AGT Correspondence
• An(1) Affine Quiver Matrix Model
• Notes on 3-point functions of A_{N-1} Toda theory and AGT-W relation for SU(N) quiver
• On $W_{1+\infty }$ 3-algebra and integrable system