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Comments on the multi-spin solution to the Yang-Baxter equation and basic hypergeometric sum/integral identity

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Gahramanov,  Ilmar
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1710.09106.pdf
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Citation

Gahramanov, I., & Jafarzade, S. (2019). Comments on the multi-spin solution to the Yang-Baxter equation and basic hypergeometric sum/integral identity. Modern Physics Letters A, 34(18): 1950140.


Cite as: https://hdl.handle.net/21.11116/0000-0000-3DDB-6
Abstract
We present a multi-spin solution to the Yang-Baxter equation. The solution
corresponds to the integrable lattice spin model of statistical mechanics with
positive Boltzmann weights and parameterized in terms of the basic
hypergeometric functions. We obtain this solution from a non-trivial basic
hypergeometric sum-integral identity which originates from the equality of
supersymmetric indices for certain three-dimensional N=2 Seiberg dual theories.