English

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

High Energy Physics - Theory 2017-02-01 v2

Abstract

We consider the partition function of super Yang-Mills theories defined on T2×ΣgT^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.

Keywords

Cite

@article{arxiv.1605.05869,
  title  = {Localization of four-dimensional super Yang-Mills theories compactified on Riemann surface},
  author = {Koichi Nagasaki},
  journal= {arXiv preprint arXiv:1605.05869},
  year   = {2017}
}

Comments

11 pages, some typos are corrected