Localization of four-dimensional super Yang-Mills theories compactified on Riemann surface

Abstract

We consider the partition function of super Yang-Mills theories defined on $T^2\times {\Sigma }_g$. This path integral can be computed by the localization. The one-loop determinant is evaluated by the elliptic genus. This elliptic genus gives trivial result in our calculation. As a result, we obtain a theory defined on the Riemann surface.

11 pages, some typos are corrected

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Cited by in corpus (1)

• A slow review of the AGT correspondence