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

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

2010-08-08

arxiv.org/abs/1008.1412v2

JHEP 1101:045,2011

Physics

High Energy Physics

High Energy Physics - Theory

40 pages. v2: minor changes and clarifications

Scientific paper

10.1007/JHEP01(2011)045

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.

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