Localization on round sphere revisited
High Energy Physics - Theory
2015-06-17 v3
Abstract
We consider supersymmetric gauge theories on round 3-sphere with a certain background gauge field. The Lagrangians break the usual symmetry because the background gauge field which we have turned on violates the isometry. In order to maintain the supersymmetry, we choose unfamiliar charged Killing spinors as N = 2 SUSY parameters. We perform localization calculous within this setup and find the double sine function as we expected. We comment on more direct relationship between theories on round sphere and squashed sphere via Weyl transformation.
Keywords
Cite
@article{arxiv.1309.4992,
title = {Localization on round sphere revisited},
author = {Akinori Tanaka},
journal= {arXiv preprint arXiv:1309.4992},
year = {2015}
}
Comments
17 pages. Weyl rescaling and Wilson loop discussions added. reference added