Integral pentagon relations for 3d superconformal indices
High Energy Physics - Theory
2016-04-06 v2 Mathematical Physics
math.MP
Abstract
The superconformal index of a three-dimensional supersymmetric field theory can be expressed in terms of basic hypergeometric integrals. By comparing the indices of dual theories, one can find new integral identities for basic hypergeometric integrals. Some of these integral identities have the form of the pentagon identity which can be interpreted as the 2-3 Pachner move for triangulated 3-manifolds.
Cite
@article{arxiv.1412.2926,
title = {Integral pentagon relations for 3d superconformal indices},
author = {Ilmar Gahramanov and Hjalmar Rosengren},
journal= {arXiv preprint arXiv:1412.2926},
year = {2016}
}
Comments
9 pages. Based on arXiv:1309.2195 with new results and comments. Presented at String-Math conference, Edmonton, Canada, June 9-13, 2014; v2: minor corrections and comments added