A new pentagon identity for the tetrahedron index
High Energy Physics - Theory
2013-11-20 v3 Mathematical Physics
math.MP
Abstract
Recently Kashaev, Luo and Vartanov, using the reduction from a four-dimensional superconformal index to a three-dimensional partition function, found a pentagon identity for a special combination of hyperbolic Gamma functions. Following their idea we have obtained a new pentagon identity for a certain combination of so-called tetrahedron indices arising from the equality of superconformal indices of dual three-dimensional N=2 supersymmetric theories and give a mathematical proof of it.
Keywords
Cite
@article{arxiv.1309.2195,
title = {A new pentagon identity for the tetrahedron index},
author = {Ilmar Gahramanov and Hjalmar Rosengren},
journal= {arXiv preprint arXiv:1309.2195},
year = {2013}
}
Comments
13 pages, v2: we added a new section with the proof of the identity, misprints corrected