One-loop tests of supersymmetric gauge theories on spheres

Abstract

We show that a recently conjectured form for perturbative supersymmetric partition functions on spheres of general dimension $d$ is consistent with the flat space limit of 6-dimensional $\mathcal{N}=1$ super Yang-Mills. We also show that the partition functions for $\mathcal{N}=1$ 8- and 9-dimensional theories are consistent with their known flat space limits.

14 pages. Minor modifications. References added

References in corpus (3)

• Localization techniques in quantum field theories
• Sphere Partition Functions and the Zamolodchikov Metric
• Holography for $\mathcal{N}=1^{\ast }$ on $S^4$

Cited by in corpus (9)

• Chern-Simons theory from M5-branes and calibrated M2-branes
• Supersymmetric Yang-Mills, Spherical Branes, and Precision Holography
• Analytic continuation of dimensions in supersymmetric localization
• 7D supersymmetric Yang-Mills on curved manifolds
• Linear Quivers at Large-$N$
• Deconstructing Little Strings with $\mathcal{N}=1$ Gauge Theories on Ellipsoids
• Conformal field theories on deformed spheres, anomalies, and supersymmetry
• (1,0) gauge theories on the six-sphere
• Gauge theories on spheres with 16 supercharges and non-constant couplings