Notes on SUSY Gauge Theories on Three-Sphere

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

References in corpus (3)

• A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
• Quantization of models with non-compact quantum group symmetry. Modular XXZ magnet and lattice sinh-Gordon model
• AGT on the S-duality Wall

Cited by in corpus (2)

• Summing Up All Genus Free Energy of ABJM Matrix Model
• Superconformal indices of three-dimensional theories related by mirror symmetry