N=2 SUSY gauge theories on S^4
Abstract
We review exact results in N=2 supersymmetric gauge theories defined on S^4 and its deformation. We first summarize the construction of rigid SUSY theories on curved backgrounds based on off-shell supergravity, then explain how to apply localization principle to supersymmetric path integrals. Closed formulae for partition function as well as expectation values of non-local BPS observables are presented.
Keywords
Cite
@article{arxiv.1608.02962,
title = {N=2 SUSY gauge theories on S^4},
author = {Kazuo Hosomichi},
journal= {arXiv preprint arXiv:1608.02962},
year = {2017}
}
Comments
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