Partition function of N=2 gauge theories on a squashed S4 with SU(2)×U(1) isometry
- Cabo-Bizet, AlejandroICTP, Strada Costiera 11, Trieste, 34014, Italy
- Gava, Edi(INFN, sezione di Trieste, Italy)
- Giraldo-Rivera, Victor I.(ICTP, Strada Costiera 11, Trieste, 34014, Italy)
- Muteeb, M. Nouman(SISSA, Via Bonomea 265, Trieste, 34128, Italy)
- Narain, K.S.(ICTP, Strada Costiera 11, Trieste, 34014, Italy)
Publication date
October 2015
DOIAbstract
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
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