### A 4d-2d correspondence for Sicilian quivers

**Hollands, L ***(Caltech)*

Friday 13 January 2012, 15:30-16:30

Seminar Room 1, Newton Institute

#### Abstract

In the last few years a wealth of novel properties of N=2 supersymmetric gauge theories has been uncovered. In particular, much has been learned about the strong coupling limits of these gauge theories through a dual two-dimensional perspective in terms of Riemann surfaces. In this talk I will discuss a quantitative check of this 4d-2d correspondence by computing the instanton partition function of an SU(2) gauge theory that is associated to a higher genus Riemann surface and its corresponding conformal block. This exercise will reveal a better understanding of the correspondence between four-dimensional instanton partition functions and two-dimensional conformal blocks.

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