期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 50, 期 44, 页码 -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
- Max-Planck Institute for Mathematics in Bonn
- Vetenskapsradet [2014-5517]
- STINT grant
- Knut and Alice Wallenberg foundation
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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