Localization on three-dimensional manifolds

@article{Willett2016LocalizationOT,
  title={Localization on three-dimensional manifolds},
  author={Brian Willett},
  journal={arXiv: High Energy Physics - Theory},
  year={2016}
}
  • Brian Willett
  • Published 9 August 2016
  • Mathematics
  • arXiv: High Energy Physics - Theory
In this review article we describe the localization of three dimensional N=2 supersymmetric theories on compact manifolds, including the squashed sphere, S^3_b, the lens space, S^3_b/Z_p, and S^2 x S^1. We describe how to write supersymmetric actions on these spaces, and then compute the partition functions and other supersymmetric observables by employing the localization argument. We briefly survey some applications of these computations. 

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