Article ID Journal Published Year Pages File Type
1840794 Nuclear Physics B 2012 16 Pages PDF
Abstract

We propose that N=2N=2U(2)U(2) gauge theories on the A1A1 ALE space, with asymptotic holonomies not in SU(2)SU(2), correspond to the Ramond sector of super Liouville theory. As evidence, we show that the instanton partition functions for the theories with and without a fundamental hypermultiplet, computed with such holonomies, coincide with the norms or the inner products of the Whittaker vectors in the Ramond sector. This correspondence suggests that S-duality of U(2)U(2) gauge theories interchanges the sectors with different boundary conditions.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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