Localization on round sphere revisited

A Tanaka - Journal of High Energy Physics, 2013 - Springer
Journal of High Energy Physics, 2013Springer
A bstract 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\(\mathcal {N}\)= 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 …
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= 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.
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