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A 4d-2d correspondence for Sicilian quivers

Presented by: 
L Hollands [CALTECH]
Friday 13th January 2012 - 15:30 to 16:30
INI Seminar Room 1
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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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons