Towards a 4d/2d correspondence for Sicilian quivers
Lotte Hollands, Christoph A. Keller, Jaewon Song
TL;DR
This paper explores a novel 4d/2d AGT correspondence for generalized SU(2) quiver gauge theories, proposing a conformal block description linked to elementary trifundamental hypermultiplets and validating it through instanton counting checks.
Contribution
It introduces a new conformal block framework for SU(2) quiver theories derived from punctured Gaiotto curves of arbitrary genus, extending the AGT correspondence.
Findings
Proposes a conformal block description for elementary SU(2) trifundamental hypermultiplets.
Validates the proposal against Sp(1)-SO(4) instanton counting.
Extends the AGT correspondence to more general Gaiotto curves.
Abstract
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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