# One-loop tests of supersymmetric gauge theories on spheres

Journal of High Energy Physics, Jul 2017

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 $\mathcal{N}$ =18-and9-dimensionaltheoriesareconsistentwiththeirknownflatspacelimits.

This is a preview of a remote PDF: https://link.springer.com/content/pdf/10.1007%2FJHEP07%282017%29074.pdf

Joseph A. Minahan, Usman Naseer. One-loop tests of supersymmetric gauge theories on spheres, Journal of High Energy Physics, 2017, 74, DOI: 10.1007/JHEP07(2017)074