Notes on SUSY Gauge Theories on Three-Sphere
Naofumi Hama, Kazuo Hosomichi, Sungjay Lee

TL;DR
This paper extends the formula for partition functions of N=2 superconformal gauge theories on three-spheres to include matter fields with arbitrary R-charges, and verifies the preservation of self-mirror symmetry under specific deformations.
Contribution
It generalizes existing partition function formulas to arbitrary R-charge assignments and examines symmetry preservation under mass deformations.
Findings
Partition function formula extended to arbitrary R-charges.
Self-mirror property preserved under certain mass deformations.
Validation of theoretical predictions for N=2 theories on S^3.
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.
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