Partition Function of $N=2$ Gauge Theories on a Squashed $S^4$ with $SU(2)\times U(1)$ Isometry

Abstract

We study $N=2$ supersymmetric gauge theories on a large family of squashed 4-spheres preserving $SU(2)\times U(1)\subset SO(4)$ isometry and determine the conditions under which this background is supersymmetric. We then compute the partition function of the theories by using localization technique. The results indicate that for $N=2$ SUSY, including both vector-multiplets and hypermultiplets, the partition function is independent of the arbitrary squashing functions as well as of the other supergravity background fields.

arXiv commentversion to appear in Nuclear Physics B

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Cited by in corpus (6)

• N=2 SUSY gauge theories on S^4
• Squashing and supersymmetry enhancement in three dimensions
• Resumming perturbative series in the presence of monopole bubbling effects
• Supersymmetric Graphene on Squashed Hemisphere
• Einstein Structure of Four-Manifolds
• Supersymmetric Yang-Mills theory on conformal supergravity backgrounds in ten dimensions