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Notes on SUSY Gauge Theories on Three-Sphere

arXiv:1012.3512 · doi:10.1007/JHEP03(2011)127

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.

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