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The star-triangle relation, lens partition function, and hypergeometric sum/integrals

Gahramanov, I., & Kels, A. P. (2017). The star-triangle relation, lens partition function, and hypergeometric sum/integrals. Journal of high energy physics: JHEP, 2017(02): 040. doi:10.1007/JHEP02(2017)040.

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Genre: Journal Article

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1610.09229.pdf (Preprint), 521KB
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### Creators

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Creators:
Gahramanov, Ilmar1, Author
Kels, Andrew P., 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
Abstract: The aim of the present paper is to consider the hyperbolic limit of an elliptic hypergeometric sum/integral identity, and associated lattice model of statistical mechanics previously obtained by the second author. The hyperbolic sum/integral identity obtained from this limit, has two important physical applications in the context of the so-called gauge/YBE correspondence. For statistical mechanics, this identity is equivalent to a new solution of the star-triangle relation form of the Yang-Baxter equation, that directly generalises the Faddeev-Volkov models to the case of discrete and continuous spin variables. On the gauge theory side, this identity represents the duality of lens ($S_b^3/\mathbb{Z}_r$) partition functions, for certain three-dimensional $\mathcal N = 2$ supersymmetric gauge theories.

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Dates: 2016-10-282017
Publication Status: Published in print
Pages: 42 pages, 4 figures
Publishing info: -
Rev. Method: -
Identifiers: arXiv: 1610.09229
URI: http://arxiv.org/abs/1610.09229
DOI: 10.1007/JHEP02(2017)040
Degree: -

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### Source 1

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Title: Journal of high energy physics : JHEP
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2017 (02) Sequence Number: 040 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: https://pure.mpg.de/cone/journals/resource/111021927548002