New Pentagon Identities Revisited
Mathematical Physics
2019-05-22 v1 High Energy Physics - Theory
math.MP
Abstract
We present a new solution to the pentagon identity in terms of gamma function. We obtain this solution by taking the gamma function limit from the pentagon identity related to the three-dimesional index. This limit corresponds to the identification of the sphere partition function of dual theories and being equivalent to the star-triangle relation in statistical mechanics which corresponds to the `strongly coupled' regime of the Faddeev-Volkov model.
Cite
@article{arxiv.1812.01325,
title = {New Pentagon Identities Revisited},
author = {Shahriyar Jafarzade},
journal= {arXiv preprint arXiv:1812.01325},
year = {2019}
}
Comments
4 pages, Contribution to the 32nd International Colloquium on Group Theoretical Methods in Physics, Prague, July 9-13, 2018