Proving the AGT relation for N_f = 0,1,2 antifundamentals

Abstract

Using recursive relations satisfied by Nekrasov partition functions and by irregular conformal blocks we prove the AGT correspondence in the case of N=2 superconformal SU(2) quiver gauge theories with N_f = 0,1,2 antifundamental hypermultiplets

LaTeX, 20+1 pages, version 2: added references and typos corrected

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Cited by in corpus (64)

• On combinatorial expansion of the conformal blocks arising from AGT conjecture
• Wild Quiver Gauge Theories
• Quantum Algebraic Approach to Refined Topological Vertex
• Deformed Prepotential, Quantum Integrable System and Liouville Field Theory
• Proving AGT conjecture as HS duality: extension to five dimensions
• On AGT Relations with Surface Operator Insertion and Stationary Limit of Beta-Ensembles
• A direct proof of AGT conjecture at beta = 1
• M5-branes, toric diagrams and gauge theory duality
• Gauge Theories on ALE Space and Super Liouville Correlation Functions
• Seiberg-Witten theory, matrix model and AGT relation
• Integrable structure, W-symmetry and AGT relation
• Affine sl(N) conformal blocks from N=2 SU(N) gauge theories
• The matrix model version of AGT conjecture and CIV-DV prepotential
• Whittaker vectors of the Virasoro algebra in terms of Jack symmetric polynomial
• Notes on Ding-Iohara algebra and AGT conjecture
• Towards a proof of AGT conjecture by methods of matrix models
• AGT conjecture and Integrable structure of Conformal field theory for c=1
• Brezin-Gross-Witten model as "pure gauge" limit of Selberg integrals
• Classical torus conformal block, N=2* twisted superpotential and the accessory parameter of Lame equation
• Matrix models for irregular conformal blocks and Argyres-Douglas theories
• Massive Scaling Limit of beta-Deformed Matrix Model of Selberg Type
• Towards R-matrix construction of Khovanov-Rozansky polynomials. I. Primary $T$-deformation of HOMFLY
• Resolvents and Seiberg-Witten representation for Gaussian beta-ensemble
• W_3 irregular states and isolated N=2 superconformal field theories
• A slow review of the AGT correspondence
• Whittaker pairs for the Virasoro algebra and the Gaiotto - BMT states
• 2d-4d Connection between q-Virasoro/W Block at Root of Unity Limit and Instanton Partition Function on ALE Space
• Parafermionic Liouville field theory and instantons on ALE spaces
• Analysis of correlation functions in Toda theory and AGT-W relation for SU(3) quiver
• Coset conformal blocks and N=2 gauge theories
• N=2 Generalized Superconformal Quiver Gauge Theory
• Localization with a Surface Operator, Irregular Conformal Blocks and Open Topological String
• Classical irregular block, N=2 pure gauge theory and Mathieu equation
• Hitchin Equation, Irregular Singularity, and $N=2$ Asymptotical Free Theories
• Analyticity of Nekrasov Partition Functions
• Classical conformal blocks from TBA for the elliptic Calogero-Moser system
• Generalized matrix models and AGT correspondence at all genera
• Five-dimensional SU(2) AGT conjecture and recursive formula of deformed Gaiotto state
• AGT, N-Burge partitions and W_N minimal models
• Seiberg-Witten curve via generalized matrix model
• Large N limit of beta-ensembles and deformed Seiberg-Witten relations
• Generalized Whittaker states for instanton counting with fundamental hypermultiplets
• Large N techniques for Nekrasov partition functions and AGT conjecture
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• Accessory parameters for Liouville theory on the torus
• Classical limit of irregular blocks and Mathieu functions
• Challenges of beta-deformation
• N=2 gauge theories, instanton moduli spaces and geometric representation theory
• Developments of theory of effective prepotential from extended Seiberg-Witten system and matrix models
• Isomonodromic tau functions on a torus as Fredholm determinants, and charged partitions
• Trinion Conformal Blocks from Topological strings
• Localization principle in SUSY gauge theories
• Recursive Representations of Arbitrary Virasoro Conformal Blocks
• Classical irregular blocks, Hill's equation and PT-symmetric periodic complex potentials
• An(1) Affine Quiver Matrix Model
• Faces of matrix models
• Hyperbolic deformation of the strip-equation and the accessory parameters for the torus
• Recurrence relations for toric N=1 superconformal blocks
• Penner Type Ensemble for Gauge Theories Revisited
• A strange relationship between 2d CFT and 4d gauge theory
• Riemann-Hilbert treatment of Liouville theory on the torus: The general case
• Deformed planar topological open string amplitudes on Seiberg-Witten curve
• Singular Vector of Ding-Iohara-Miki Algebra and Hall-Littlewood Limit of 5D AGT Conjecture