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arXiv · 1605.05869

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

Koichi Nagasaki
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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.

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Koichi Nagasaki. 2016-07-25. Localization of four-dimensional super Yang-Mills theories compactified on Riemann surface. https://doi.org/10.1142/s0217751x16501955

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