English

Localization principle in SUSY gauge theories

High Energy Physics - Theory 2015-09-09 v1

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.

Keywords

Cite

@article{arxiv.1502.04543,
  title  = {Localization principle in SUSY gauge theories},
  author = {Kazuo Hosomichi},
  journal= {arXiv preprint arXiv:1502.04543},
  year   = {2015}
}

Comments

21 pages, a review article to appear in PTEP Special Section "Structure of supersymmetric gauge theories"

R2 v1 2026-06-22T08:30:29.775Z