New Pentagon Identities Revisited

@article{Jafarzade2018NewPI,
  title={New Pentagon Identities Revisited},
  author={Shahriyar Jafarzade},
  journal={Journal of Physics: Conference Series},
  year={2018},
  volume={1194}
}
  • Shahriyar Jafarzade
  • Published 4 December 2018
  • Physics, Mathematics
  • Journal of Physics: Conference Series
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. 

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