Published January 1, 2020
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Gamma function solutions to the star-triangle equation
- 1. Department of Physics, Bogazici University, Istanbul, Turkey
- 2. Institute of Radiation Problems, Azerbaijan National Academy of Sciences, Baku, Azerbaijan
- 3. Department of Physics and Astronomy, Stony Brook University, Stony Brook, USA
Description
In the paper, we clarify some relations between solutions to the star-triangle equation via the gauge/YBE correspondence. We consider two solutions to the star-triangle relation in terms of Euler's gamma function. We derive these solutions from the reduction of certain basic and hyperbolic hypergeometric integral identities. These identities can be interpreted as equality of the supersymmetric partition functions of a specific three-dimensional $N=2$ supersymmetric dual theories.
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j.nuclphysb.2020.115283.pdf
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