Gamma function solutions to the star-triangle equation
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 hype...
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| Published in | Nuclear physics. B Vol. 963; p. 115283 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
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Elsevier B.V
01.02.2021
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| Abstract | 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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| AbstractList | 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. |
| ArticleNumber | 115283 |
| Author | Gahramanov, Ilmar Jafarzade, Shahriyar Eren, Ege Mogol, Gonenc |
| Author_xml | – sequence: 1 givenname: Ege surname: Eren fullname: Eren, Ege email: ege.eren@boun.edu.tr organization: Department of Physics, Bogazici University, 34342 Bebek, Istanbul, Turkey – sequence: 2 givenname: Ilmar surname: Gahramanov fullname: Gahramanov, Ilmar email: ilmar.gahramanov@boun.edu.tr organization: Department of Physics, Bogazici University, 34342 Bebek, Istanbul, Turkey – sequence: 3 givenname: Shahriyar surname: Jafarzade fullname: Jafarzade, Shahriyar email: shahriyar.jzade@gmail.com organization: Institute of Radiation Problems, Azerbaijan National Academy of Sciences, B.Vahabzade St. 9, AZ1143, Baku, Azerbaijan – sequence: 4 givenname: Gonenc surname: Mogol fullname: Mogol, Gonenc email: gonenc.mogol@stonybrook.edu organization: Department of Physics and Astronomy, Stony Brook University, Stony Brook, NY 11794, USA |
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| Title | Gamma function solutions to the star-triangle equation |
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