Affine sl(N) conformal blocks from N=2 SU(N) gauge theories

Abstract

Recently Alday and Tachikawa proposed a relation between conformal blocks in a two-dimensional theory with affine sl(2) symmetry and instanton partition functions in four-dimensional conformal N=2 SU(2) quiver gauge theories in the presence of a certain surface operator. In this paper we extend this proposal to a relation between conformal blocks in theories with affine sl(N) symmetry and instanton partition functions in conformal N=2 SU(N) quiver gauge theories in the presence of a surface operator. We also discuss the extension to non-conformal N=2 SU(N) theories.

40 pages. v2: minor changes and clarifications

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Cited by in corpus (8)

• On AGT Relations with Surface Operator Insertion and Stationary Limit of Beta-Ensembles
• Instanton counting with a surface operator and the chain-saw quiver
• A direct proof of AGT conjecture at beta = 1
• Brezin-Gross-Witten model as "pure gauge" limit of Selberg integrals
• Instanton partition functions in N=2 SU(N) gauge theories with a general surface operator, and their W-algebra duals
• On W-algebras and the symmetries of defects of 6d N=(2,0) theory
• Generalized matrix models and AGT correspondence at all genera
• (de)Tails of Toda CFT