English

Notes on SUSY Gauge Theories on Three-Sphere

High Energy Physics - Theory 2011-04-04 v3

Abstract

We extend the formula for partition functions of N=2 superconformal gauge theories on S^3 obtained recently by Kapustin, Willett and Yaakov, to incorporate matter fields with arbitrary R-charge assignments. We use the result to check that the self-mirror property of N=4 SQED with two electron hypermultiplets is preserved under a certain mass deformation which breaks the supersymmetry to N=2.

Keywords

Cite

@article{arxiv.1012.3512,
  title  = {Notes on SUSY Gauge Theories on Three-Sphere},
  author = {Naofumi Hama and Kazuo Hosomichi and Sungjay Lee},
  journal= {arXiv preprint arXiv:1012.3512},
  year   = {2011}
}

Comments

1+13 pages, (v3) one section added to present an integral formula for the partition function of general gauge theory. The version published in JHEP

R2 v1 2026-06-21T16:59:32.574Z