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arXiv · 1608.02958

Localization on three-dimensional manifolds

Brian Willett
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Abstract

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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Brian Willett. 2016-10-15. Localization on three-dimensional manifolds. https://doi.org/10.1088/1751-8121%2Faa612f

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