Cremonesi, Stefano (2013) 'An introduction to localisation and supersymmetry in curved space.', Proceedings of Science (PoS)., Modave2013 . 02.
Abstract
This paper presents the lecture notes of a course that I taught at the Ninth Modave Summer School in Mathematical Physics. The course has been designed to give an introduction to new exact results for supersymmetric field theories obtained by localisation of the path integral. I first review localisation theorems for ordinary integrals and the extension of these ideas to supersymmetric quantum field theories. Then I introduce the formalism of rigid supersymmetry in curved space and apply it to three-dimensional N = 2 supersymmetric gauge theories on the round 3-sphere. Finally I sketch the derivation of the localisation formula for the partition functions of such theories.
| Item Type: | Article |
|---|---|
| Full text: | (VoR) Version of Record Available under License - Creative Commons Attribution Non-commercial Share Alike. Download PDF (400Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | https://pos.sissa.it/201/ |
| Publisher statement: | © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence. |
| Date accepted: | No date available |
| Date deposited: | 16 November 2017 |
| Date of first online publication: | 2013 |
| Date first made open access: | No date available |
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