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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
(Preprint), 169KB

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Citation

Gahramanov, I., & Jafarzade, S. (in preparation). Comments on the multi-spin solution to the Yang-Baxter equation and basic hypergeometric sum/integral identity.


Cite as: http://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.