Gauge theories on spheres with 16 supercharges and non-constant couplings

Abstract

We construct a class of theories with 16 supersymmetries on spheres of dimension nine and less. The gauge coupling and mass terms for the scalar fields depend on the polar angle away from the north pole. Assuming finite coupling on the north pole, this leads to zero coupling at the south pole for $d>4$ and infinite coupling at the south pole for $d<4$. The underlying supersymmetry algebra of these theories is shown to be isomorphic to the Poincaré superalgebra in $d$-dimensions. We also give a localization procedure which leads to nontrivial results for $d=2$.

arXiv comment24 pages, two appendices

References in corpus (21)

• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• Rigid Supersymmetric Theories in Curved Superspace
• Matrix Description of M-theory on $T^5$ and $T^5/Z_2$
• Janus Configurations, Chern-Simons Couplings, And The Theta-Angle in N=4 Super Yang-Mills Theory
• Linear Dilatons, NS5-branes and Holography
• Partition functions of N=(2,2) gauge theories on S^2 and vortices
• The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere
• M5-branes from gauge theories on the 5-sphere
• Notes on Theories with 16 Supercharges
• Twisted supersymmetric 5D Yang-Mills theory and contact geometry
• $N^3$-behavior from 5D Yang-Mills theory
• Cohomological localization of Chern-Simons theory
• Spherical Branes
• Supergravity Backgrounds for Four-Dimensional Maximally Supersymmetric Yang-Mills
• N=2 supersymmetric gauge theory on connected sums of $S^2\times S^2$
• Analytic continuation of dimensions in supersymmetric localization
• One-loop tests of supersymmetric gauge theories on spheres
• Localizing gauge theories on $S^d$
• Supersymmetry Algebra in Super Yang-Mills Theories
• (1,0) gauge theories on the six-sphere

Cited by in corpus (1)

• Double-Janus Linear Sigma Models and Generalized Reciprocity for Gauss Sums