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

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.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0000-3DDB-6 Version Permalink: http://hdl.handle.net/21.11116/0000-0003-D833-0
Genre: Conference Paper

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1710.09106.pdf (Preprint), 169KB
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 Creators:
Gahramanov, Ilmar1, Author              
Jafarzade, Shahriyar, Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: Mathematical Physics, math-ph, Condensed Matter, Statistical Mechanics, cond-mat.stat-mech,High Energy Physics - Theory, hep-th,Mathematics, Mathematical Physics, math.MP,Nonlinear Sciences, Exactly Solvable and Integrable Systems, nlin.SI
 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.

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 Dates: 2017-10-252017-11-122019
 Publication Status: Published in print
 Pages: 8 pp, based on a talk given at the XXVth International Conference on Integrable Systems and Quantum symmetries (ISQS-25), Prague, Czech Republic, 06-10 June, 2017; v2: minor changes
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 Identifiers: arXiv: 1710.09106
URI: http://arxiv.org/abs/1710.09106
DOI: 10.1142/S0217732319501402
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Title: 25th International Conference on Integrable Systems and Quantum Symmetries (ISQS-25)
Place of Event: Prague, Czech Republic
Start-/End Date: 2017-06-06 - 2017-06-10

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Title: Modern Physics Letters A
Source Genre: Journal
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Pages: - Volume / Issue: 34 (18) Sequence Number: 1950140 Start / End Page: - Identifier: -