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Published October 2011 | Submitted
Journal Article Open

Towards a 4d/2d correspondence for Sicilian quivers

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.

Additional Information

©2011 SISSA. Published for SISSA by Springer. Received: August 30, 2011. Accepted: October 1, 2011. Published: October 20, 2011. We would like to thank Fernando Alday, Alexander Braverman, Andrew Dancer, Nikita Nekrasov, Sara Pasquetti, Vasily Pestun, Yuji Tachikawa for enlightening discussions and correspondence. LH would like to thank the support of Sergei Gukov and the hospitality of the Mathematics Institute of the University of Oxford. The work of LH is supported by a NWO Rubicon fellowship and by NSF grant PHY-0757647. The work of CAK is supported by a John A. McCone Postdoctoral Fellowship. This work is in addition supported in part by the DOE grant DE-FG03-92-ER40701.

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