Towards a 4d/2d correspondence for Sicilian quivers

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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39 pages, 11 figures

Scientific paper

We study the 4d/2d AGT correspondence between four-dimensional instanton counting and two-dimensional conformal blocks for generalized SU(2) quiver gauge theories coming from punctured Gaiotto curves of arbitrary genus. We propose a conformal block description that corresponds to the elementary SU(2) trifundamental half-hypermultiplet, and check it against Sp(1)-SO(4) instanton counting.

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