An Introduction to Localisation and Supersymmetry in Curved Space

Cremonesi, Stefano

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.

Citation

Cremonesi, S. (2013). An Introduction to Localisation and Supersymmetry in Curved Space. Proceedings of Science, Modave2013,

• Journal Article Type: Article
• Publication Date: Jan 1, 2013
• Deposit Date: Feb 2, 2017
• Publicly Available Date: Nov 16, 2017
• Journal: PoS - Proceedings of Science
• Publisher: Sissa Medialab
• Peer Reviewed: Peer Reviewed
• Volume: Modave2013
• Public URL: https://durham-repository.worktribe.com/output/1366089
• Publisher URL: https://pos.sissa.it/201/
• Related Public URLs: http://inspirehep.net/record/1297793/files/Modave%202013_002.pdf