2016/08/31 by Jian Qiu, Maxim Zabzine · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Construct (python library) #Equivariant map #Gauge (firearms) #Gauge theory #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Natural (archaeology) #Supersymmetry #Supersymmetry breaking #hep-th #math-ph #math.MP
paper · pdf · doi:10.1088/1751-8121/aa5ef0
This is a contribution to the review volume `Localization techniques in quantum field theories' (eds. V. Pestun and M. Zabzine) which contains 17 Chapters. The complete volume is summarized in arXiv:1608.02952 and it can be downloaded at https://arxiv.org/src/1608.02952/anc/LocQFT.pdf or http://pestun.ihes.fr/pages/LocalizationReview/LocQFT.pdf
openalex created_date 2016/08/23 · arxiv created 2016/10/15 · openalex publication_date 2017/10/13 · arxiv updated 2017/10/25 · openalex updated_date 2026/08/05
Abstract 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.