Localization of supersymmetric field theories on non-compact hyperbolic three-manifolds
Abstract
We study supersymmetric gauge theories with an R-symmetry, defined on non-compact, hyperbolic, Riemannian three-manifolds, focusing on the case of a supersymmetry-preserving quotient of Euclidean AdS. We compute the exact partition function in these theories, using the method of localization, thus reducing the problem to the computation of one-loop determinants around a supersymmetric locus. We evaluate the one-loop determinants employing three different techniques: an index theorem, the method of pairing of eigenvalues, and the heat kernel method. Along the way, we discuss aspects of supersymmetry in manifolds with a conformal boundary, including supersymmetric actions and boundary conditions.
Keywords
Cite
@article{arxiv.1609.08071,
title = {Localization of supersymmetric field theories on non-compact hyperbolic three-manifolds},
author = {Benjamin Assel and Dario Martelli and Sameer Murthy and Daisuke Yokoyama},
journal= {arXiv preprint arXiv:1609.08071},
year = {2017}
}
Comments
v3:79p, minor clarifications and references added