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arXiv · 1412.6826

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

Alejandro Cabo-Bizet·Edi Gava·V. I. Giraldo-Rivera·M. Nouman Muteeb·K. S. Narain
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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.

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Alejandro Cabo-Bizet, Edi Gava, V. I. Giraldo-Rivera, M. Nouman Muteeb, K. S. Narain. 2015-08-17. Partition Function of $N=2$ Gauge Theories on a Squashed $S^4$ with $SU(2)\times U(1)$ Isometry. https://doi.org/10.1016/j.nuclphysb.2015.07.029

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