Recently Alday and Tachikawa [1] 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. © SISSA 2011
Koz̧çaz, C., Pasquetti, S., Passerini, F., Wyllard, N. (2011). Affine sl(N) conformal blocks from N = 2 SU(N) gauge theories. JOURNAL OF HIGH ENERGY PHYSICS, 2011(1) [10.1007/JHEP01(2011)045].
Affine sl(N) conformal blocks from N = 2 SU(N) gauge theories
PASQUETTI, SARASecondo
;
2011
Abstract
Recently Alday and Tachikawa [1] 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. © SISSA 2011
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