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arXiv · 1502.04543

Localization principle in SUSY gauge theories

Kazuo Hosomichi
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Abstract

Localization principle is a powerful analytic tool in supersymmetric gauge theories which enables one to perform supersymmetric path integrals explicitly. Many important formulae have been obtained, and they led to a major breakthrough in the understanding of gauge theories at strong coupling as well as the dynamics of branes in M-theory. Some of those results are reviewed, focusing especially on Pestun's solution to four-dimensional N=2 supersymmetric gauge theories on S^4 and the subsequent developments on three or four-dimensional gauge theories on spheres.

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Kazuo Hosomichi. 2015-02-16. Localization principle in SUSY gauge theories. https://doi.org/10.1093/ptep/ptv033

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