New Pentagon Identities Revisited
arXiv:1812.01325 · doi:10.1088/1742-6596/1194/1/012054
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.
4 pages, Contribution to the 32nd International Colloquium on Group Theoretical Methods in Physics, Prague, July 9-13, 2018