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 (26)

• Summing Up All Genus Free Energy of ABJM Matrix Model
• Supersymmetric Gauge Theories on the Five-Sphere
• The $\mathcal{N}=8$ Superconformal Bootstrap in Three Dimensions
• Defects and Quantum Seiberg-Witten Geometry
• Superconformal indices of three-dimensional theories related by mirror symmetry
• Probing non-perturbative effects in M-theory
• Localization in Supergravity and Quantum $Ad{S}_4/CF{T}_3$ Holography
• Exact results on ABJ theory and the refined topological string
• From Rigid Supersymmetry to Twisted Holomorphic Theories
• Quivers, YBE and 3-manifolds
• Partition Functions of Superconformal Chern-Simons Theories from Fermi Gas Approach
• Comments on the Casimir energy in supersymmetric field theories
• Supersymmetric Rényi Entropy in Five Dimensions
• Instanton Effects in Orbifold ABJM Theory
• N = 4 Super-Yang-Mills on Conic Space as Hologram of STU Topological Black Hole
• Superconformal Index with Duality Domain Wall
• Quantum Phase Transitions in Mass-Deformed ABJM Matrix Model
• Supersymmetric $U(N)$ Chern-Simons-matter theory and phase transitions
• Chern-Simons and RG Flows: Contact with Dualities
• 5d Higgs Branch Localization, Seiberg-Witten Equations and Contact Geometry
• Supersymmetric backgrounds from 5d N=1 supergravity
• Super-Yang-Mills theories on S4 x R
• Superconformal structures on the three-sphere
• Ramond-Ramond couplings of D-branes
• Spin(7) duality for N=1 CS-matter theories
• Symmetry breaking caused by large R-charge