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An Introduction to Localisation and Supersymmetry in Curved Space

Cremonesi, Stefano

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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
Publisher URL https://pos.sissa.it/201/
Related Public URLs http://inspirehep.net/record/1297793/files/Modave%202013_002.pdf

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