4.6 Review

Review of localization for 5d supersymmetric gauge theories

出版社

IOP PUBLISHING LTD
DOI: 10.1088/1751-8121/aa5ef0

关键词

5d supersymmetric gauge theories; Sasaki-Einstein manifolds; cohomological complex

资金

  1. Max-Planck Institute for Mathematics in Bonn
  2. Vetenskapsradet [2014-5517]
  3. STINT grant
  4. Knut and Alice Wallenberg foundation

向作者/读者索取更多资源

We give a pedagogical review of the localisation of supersymmetric gauge theories on 5d toric Sasaki-Einstein manifolds. We construct certain cohomological complex from the supersymmetry complex and consider its natural toric deformations with all equivariant parameters turned on. We also give detailed discussion on how the Sasaki-Einstein geometry manifests itself in every aspect of the calculation, from Killing spinor, vanishing theorems to the index theorems.

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