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

Koichi Nagasaki

Department of Physics and Center for High Energy Physics, Chung Yuan Christian University, 200 Chung Pei Road, Chung Li District, Taoyuan City, 32023, Taiwan

E-mail Address: koichi.nagasaki24@gmail.com

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https://doi.org/10.1142/S0217751X16501955Cited by:1 (Source: Crossref)

Abstract

We consider the partition function of super-Yang–Mills theories defined on $𝕋^{2} \times Σ_{g}$ . 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.

Keywords:

PACS: 11.25.Mj, 11.30.Pb

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