This is an interim version of our Electronic Legal Deposit Catalogue-eJournals and eBooks while we continue to recover from a cyber-attack.
Review of localization for 5d supersymmetric gauge theories*This is a contribution to the review issue 'Localization techniques in quantum field theories' (ed Pestun and Zabzine) which contains 17 chapters available at [001]. (13th October 2017)
Record Type:
Journal Article
Title:
Review of localization for 5d supersymmetric gauge theories*This is a contribution to the review issue 'Localization techniques in quantum field theories' (ed Pestun and Zabzine) which contains 17 chapters available at [001]. (13th October 2017)
Main Title:
Review of localization for 5d supersymmetric gauge theories*This is a contribution to the review issue 'Localization techniques in quantum field theories' (ed Pestun and Zabzine) which contains 17 chapters available at [001].
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.