5D SYM on 3D deformed spheres

Autor: Teruhiko Kawano, Nariaki Matsumiya
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Nuclear Physics B, Vol 898, Iss C, Pp 456-562 (2015)
Druh dokumentu: article
ISSN: 0550-3213
1873-1562
DOI: 10.1016/j.nuclphysb.2015.07.018
Popis: We reconsider the relation of superconformal indices of superconformal field theories of class S with five-dimensional N=2 supersymmetric Yang–Mills theory compactified on the product space of a round three-sphere and a Riemann surface. We formulate the five-dimensional theory in supersymmetric backgrounds preserving N=2 and N=1 supersymmetries and discuss a subtle point in the previous paper concerned with the partial twisting on the Riemann surface. We further compute the partition function by localization of the five-dimensional theory on a squashed three-sphere in N=2 and N=1 supersymmetric backgrounds and on an ellipsoid three-sphere in an N=1 supersymmetric background.
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