Nuclear Physics B (Oct 2015)

Partition function of N=2 gauge theories on a squashed S4 with SU(2)×U(1) isometry

  • Alejandro Cabo-Bizet,
  • Edi Gava,
  • Victor I. Giraldo-Rivera,
  • M. Nouman Muteeb,
  • K.S. Narain

DOI
https://doi.org/10.1016/j.nuclphysb.2015.07.029
Journal volume & issue
Vol. 899, no. C
pp. 149 – 164

Abstract

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We study N=2 supersymmetric gauge theories on a large family of squashed 4-spheres preserving SU(2)×U(1)⊂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.