Towards the localization of SUSY gauge theory on a curved space

Details Towards the localization of SUSY gauge theory on a curved space Towards the localization of SUSY gauge theory on a curved space

2011-06-24

arxiv.org/abs/1106.4975v2

Int. J. Mod. Phys. A Volume 27 (2012) 1250029

Physics

High Energy Physics

High Energy Physics - Theory

20pages, no figure, typos corrected

Scientific paper

10.1142/S0217751X12500297

We consider an N=4 supersymmetric gauge theory on a curved space. We try to generalize Pestun's localization calculation on the four-sphere to a more general class of curved spaces. We calculated the Q-exact term to localize the path-integral, and when it becomes positive definite, we obtain a configuration where the path-integral localizes. We also evaluate the super Yang-Mills action in this configuration.

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