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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Format | Journal Article |
Language | English |
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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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Cites_doi | 10.1007/s10955-013-0884-8 10.1016/j.physleta.2007.10.053 10.1016/0375-9601(88)90896-1 10.1016/j.physletb.2011.09.007 10.1016/0550-3213(77)90221-8 10.1142/S0217732319501402 10.1134/S0040577919020028 10.1088/1751-8113/47/5/055203 10.1088/1742-5468/aaa8fd 10.1088/1751-8113/48/39/394001 10.1007/s00220-014-2112-z 10.1007/s00220-013-1861-4 10.1016/j.nuclphysb.2007.05.013 10.1134/S1547477118060079 10.1016/j.nuclphysb.2016.10.004 10.1090/conm/563/11170 10.1142/S0217979297000058 10.1103/PhysRevD.86.065015 10.1016/j.nuclphysb.2009.06.025 10.1016/S0378-4371(98)00386-0 10.1088/1751-8113/46/28/285403 10.1088/1751-8113/49/46/464001 10.1088/1751-8113/48/43/435201 10.1007/s00220-012-1485-0 10.1103/PhysRevD.91.105023 |
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References | Perk, Au-Yang (br0230) 2006 Gahramanov, Jafarzade (br0150) 2018; 15 Goddard, Nuyts, Olive (br0330) 1977; 125 Gahramanov, Vartanov (br0470) 2013; 46 Yamazaki, Yan (br0060) 2015; 48 Kels (br0130) Imamura, Yokoyama (br0300) 2011; 1104 Kels, Yamazaki (br0100) 2018; 1802 Kels (br0200) 2014; 47 Tanaka, Mori, Morita (br0510) 2015; 91 Gahramanov, Rosengren (br0380) 2016; 913 Baxter (br0170) 1982 Jafarzade, Nazari (br0090) Derkachov, Manashov, Valinevich (br0560) 2017; 50 Benini, Nishioka, Yamazaki (br0240) 2012; 86 Pestun (br0250) 2012; 313 Spiridonov, Vartanov (br0410) 2014; 325 Sarkissian, Spiridonov (br0120) 2018; 10 Au-Yang, Perk (br0540) 1999; 268 Spiridonov (br0010) 2012; 563 Yagi (br0110) 2015; 10 Gahramanov, Spiridonov (br0040) 2015; 08 Yamazaki (br0160) Yamazaki (br0030) 2014; 154 Tanaka, Mori, Morita (br0490) 2015; 09 Bozkurt, Gahramanov (br0520) 2019; 198 Yamazaki (br0290) 2018; 108 van de Bult (br0350) 2007 Bazhanov, Mangazeev, Sergeev (br0400) 2008; 372 Gahramanov, Jafarzade (br0080) 2019; 34 Baxter (br0190) 1997; 11 Aharony, Razamat, Willett (br0480) 2017; 11 Yamazaki (br0020) 2012; 05 Kels, Yamazaki (br0140) Kim (br0310) 2009; 821 Fujitsuka, Honda, Yoshida (br0260) 2014; 2014 Doroud, Gomis, Le Floch, Lee (br0370) 2013; 05 Imamura (br0440) 2011; 09 Bazhanov, Kels, Sergeev (br0210) 2016; 49 Bazhanov, Mangazeev, Sergeev (br0390) 2007; 784 Kels (br0050) 2015; 48 Nieri, Pasquetti (br0280) 2015; 11 Gadde, Yan (br0430) 2012; 12 Dolan, Spiridonov, Vartanov (br0420) 2011; 704 Benini, Peelaers (br0270) 2014; 05 Gahramanov, Vartanov (br0450) 2013 Derkachov, Manashov (br0570) Au-Yang, Perk (br0220) Krattenthaler, Spiridonov, Vartanov (br0320) 2011; 06 Gahramanov (br0460) 2015; 51 Jafarzade (br0530) 2019; 1194 Baxter, Perk, Au-Yang (br0180) 1988; 128 Gahramanov, Kels (br0070) 2017; 02 Derkachov, Manashov (br0550) 2017; 50 Benini, Cremonesi (br0360) 2015; 334 Mori, Tanaka (br0500) 2016; 02 Imamura, Yokoyama (br0340) 2012; 11 Benini (10.1016/j.nuclphysb.2020.115283_br0270) 2014; 05 Tanaka (10.1016/j.nuclphysb.2020.115283_br0490) 2015; 09 Jafarzade (10.1016/j.nuclphysb.2020.115283_br0090) Yagi (10.1016/j.nuclphysb.2020.115283_br0110) 2015; 10 Sarkissian (10.1016/j.nuclphysb.2020.115283_br0120) 2018; 10 Yamazaki (10.1016/j.nuclphysb.2020.115283_br0030) 2014; 154 Benini (10.1016/j.nuclphysb.2020.115283_br0240) 2012; 86 Fujitsuka (10.1016/j.nuclphysb.2020.115283_br0260) 2014; 2014 Krattenthaler (10.1016/j.nuclphysb.2020.115283_br0320) 2011; 06 Au-Yang (10.1016/j.nuclphysb.2020.115283_br0540) 1999; 268 Mori (10.1016/j.nuclphysb.2020.115283_br0500) 2016; 02 Kels (10.1016/j.nuclphysb.2020.115283_br0130) Spiridonov (10.1016/j.nuclphysb.2020.115283_br0410) 2014; 325 Imamura (10.1016/j.nuclphysb.2020.115283_br0440) 2011; 09 Perk (10.1016/j.nuclphysb.2020.115283_br0230) Jafarzade (10.1016/j.nuclphysb.2020.115283_br0530) 2019; 1194 Bozkurt (10.1016/j.nuclphysb.2020.115283_br0520) 2019; 198 Gadde (10.1016/j.nuclphysb.2020.115283_br0430) 2012; 12 Bazhanov (10.1016/j.nuclphysb.2020.115283_br0390) 2007; 784 Gahramanov (10.1016/j.nuclphysb.2020.115283_br0080) 2019; 34 van de Bult (10.1016/j.nuclphysb.2020.115283_br0350) 2007 Baxter (10.1016/j.nuclphysb.2020.115283_br0180) 1988; 128 Derkachov (10.1016/j.nuclphysb.2020.115283_br0550) 2017; 50 Doroud (10.1016/j.nuclphysb.2020.115283_br0370) 2013; 05 Yamazaki (10.1016/j.nuclphysb.2020.115283_br0290) 2018; 108 Gahramanov (10.1016/j.nuclphysb.2020.115283_br0460) 2015; 51 Gahramanov (10.1016/j.nuclphysb.2020.115283_br0070) 2017; 02 Kels (10.1016/j.nuclphysb.2020.115283_br0100) 2018; 1802 Baxter (10.1016/j.nuclphysb.2020.115283_br0190) 1997; 11 Derkachov (10.1016/j.nuclphysb.2020.115283_br0560) 2017; 50 Gahramanov (10.1016/j.nuclphysb.2020.115283_br0450) 2013 Bazhanov (10.1016/j.nuclphysb.2020.115283_br0400) 2008; 372 Kels (10.1016/j.nuclphysb.2020.115283_br0140) Baxter (10.1016/j.nuclphysb.2020.115283_br0170) 1982 Gahramanov (10.1016/j.nuclphysb.2020.115283_br0150) 2018; 15 Au-Yang (10.1016/j.nuclphysb.2020.115283_br0220) Dolan (10.1016/j.nuclphysb.2020.115283_br0420) 2011; 704 Kels (10.1016/j.nuclphysb.2020.115283_br0200) 2014; 47 Bazhanov (10.1016/j.nuclphysb.2020.115283_br0210) 2016; 49 Pestun (10.1016/j.nuclphysb.2020.115283_br0250) 2012; 313 Gahramanov (10.1016/j.nuclphysb.2020.115283_br0380) 2016; 913 Derkachov (10.1016/j.nuclphysb.2020.115283_br0570) Gahramanov (10.1016/j.nuclphysb.2020.115283_br0470) 2013; 46 Tanaka (10.1016/j.nuclphysb.2020.115283_br0510) 2015; 91 Yamazaki (10.1016/j.nuclphysb.2020.115283_br0020) 2012; 05 Gahramanov (10.1016/j.nuclphysb.2020.115283_br0040) 2015; 08 Yamazaki (10.1016/j.nuclphysb.2020.115283_br0160) Aharony (10.1016/j.nuclphysb.2020.115283_br0480) 2017; 11 Goddard (10.1016/j.nuclphysb.2020.115283_br0330) 1977; 125 Kim (10.1016/j.nuclphysb.2020.115283_br0310) 2009; 821 Benini (10.1016/j.nuclphysb.2020.115283_br0360) 2015; 334 Kels (10.1016/j.nuclphysb.2020.115283_br0050) 2015; 48 Spiridonov (10.1016/j.nuclphysb.2020.115283_br0010) 2012; 563 Imamura (10.1016/j.nuclphysb.2020.115283_br0300) 2011; 1104 Yamazaki (10.1016/j.nuclphysb.2020.115283_br0060) 2015; 48 Nieri (10.1016/j.nuclphysb.2020.115283_br0280) 2015; 11 Imamura (10.1016/j.nuclphysb.2020.115283_br0340) 2012; 11 |
References_xml | – volume: 49 year: 2016 ident: br0210 article-title: Quasi-classical expansion of the star-triangle relation and integrable systems on quad-graphs publication-title: J. Phys. A contributor: fullname: Sergeev – volume: 2014 year: 2014 ident: br0260 article-title: Higgs branch localization of 3d publication-title: PTEP contributor: fullname: Yoshida – volume: 10 year: 2018 ident: br0120 article-title: From rarefied elliptic beta integral to parafermionic star-triangle relation publication-title: J. High Energy Phys. contributor: fullname: Spiridonov – ident: br0140 article-title: Lens generalisation of contributor: fullname: Yamazaki – volume: 06 year: 2011 ident: br0320 article-title: Superconformal indices of three-dimensional theories related by mirror symmetry publication-title: J. High Energy Phys. contributor: fullname: Vartanov – volume: 47 year: 2014 ident: br0200 article-title: A new solution of the star-triangle relation publication-title: J. Phys. A contributor: fullname: Kels – volume: 34 year: 2019 ident: br0080 article-title: Comments on the multi-spin solution to the Yang-Baxter equation and basic hypergeometric sum/integral identity publication-title: Mod. Phys. Lett. A contributor: fullname: Jafarzade – volume: 86 year: 2012 ident: br0240 article-title: 4d index to 3d index and 2d TQFT publication-title: Phys. Rev. D contributor: fullname: Yamazaki – volume: 11 start-page: 27 year: 1997 end-page: 37 ident: br0190 article-title: Star-triangle and star-star relations in statistical mechanics publication-title: Int. J. Mod. Phys. B contributor: fullname: Baxter – volume: 325 start-page: 421 year: 2014 end-page: 486 ident: br0410 article-title: Elliptic hypergeometry of supersymmetric dualities II. Orthogonal groups, knots, and vortices publication-title: Commun. Math. Phys. contributor: fullname: Vartanov – volume: 1104 year: 2011 ident: br0300 article-title: Index for three dimensional superconformal field theories with general R-charge assignments publication-title: J. High Energy Phys. contributor: fullname: Yokoyama – start-page: 695 year: 2013 end-page: 703 ident: br0450 article-title: Superconformal indices and partition functions for supersymmetric field theories publication-title: XVIIth Intern. Cong. Math. Phys. contributor: fullname: Vartanov – volume: 46 year: 2013 ident: br0470 article-title: Extended global symmetries for 4D publication-title: J. Phys. A contributor: fullname: Vartanov – volume: 334 start-page: 1483 year: 2015 end-page: 1527 ident: br0360 article-title: Partition functions of publication-title: Commun. Math. Phys. contributor: fullname: Cremonesi – volume: 704 start-page: 234 year: 2011 end-page: 241 ident: br0420 article-title: From 4d superconformal indices to 3d partition functions publication-title: Phys. Lett. B contributor: fullname: Vartanov – volume: 05 year: 2013 ident: br0370 article-title: Exact results in publication-title: J. High Energy Phys. contributor: fullname: Lee – year: 2007 ident: br0350 article-title: Hyperbolic hypergeometric functions contributor: fullname: van de Bult – volume: 11 year: 2017 ident: br0480 article-title: From 3d duality to 2d duality publication-title: J. High Energy Phys. contributor: fullname: Willett – volume: 02 year: 2016 ident: br0500 article-title: Varieties of Abelian mirror symmetry on publication-title: J. High Energy Phys. contributor: fullname: Tanaka – volume: 1802 year: 2018 ident: br0100 article-title: Lens elliptic gamma function solution of the Yang–Baxter equation at roots of unity publication-title: J. Stat. Mech. contributor: fullname: Yamazaki – volume: 15 start-page: 650 year: 2018 end-page: 667 ident: br0150 article-title: Integrable lattice spin models from supersymmetric dualities publication-title: Phys. Part. Nucl. Lett. contributor: fullname: Jafarzade – volume: 05 year: 2012 ident: br0020 article-title: Quivers, YBE and 3-manifolds publication-title: J. High Energy Phys. contributor: fullname: Yamazaki – volume: 51 start-page: 273 year: 2015 end-page: 286 ident: br0460 article-title: Mathematical structures behind supersymmetric dualities publication-title: Arch. Math. contributor: fullname: Gahramanov – ident: br0160 article-title: Integrability as duality: the Gauge/YBE correspondence contributor: fullname: Yamazaki – volume: 1194 year: 2019 ident: br0530 article-title: New pentagon identities revisited publication-title: J. Phys. Conf. Ser. contributor: fullname: Jafarzade – volume: 268 start-page: 175 year: 1999 end-page: 206 ident: br0540 article-title: The large-n limits of the chiral Potts model publication-title: Phys. A, Stat. Mech. Appl. contributor: fullname: Perk – volume: 784 start-page: 234 year: 2007 end-page: 258 ident: br0390 article-title: Faddeev-Volkov solution of the Yang-Baxter equation and discrete conformal symmetry publication-title: Nucl. Phys. B contributor: fullname: Sergeev – volume: 48 year: 2015 ident: br0060 article-title: Integrability from 2d publication-title: J. Phys. A contributor: fullname: Yan – year: 2006 ident: br0230 article-title: Yang-Baxter equations contributor: fullname: Au-Yang – volume: 313 start-page: 71 year: 2012 end-page: 129 ident: br0250 article-title: Localization of gauge theory on a four-sphere and supersymmetric Wilson loops publication-title: Commun. Math. Phys. contributor: fullname: Pestun – volume: 09 year: 2011 ident: br0440 article-title: Relation between the 4d superconformal index and the S publication-title: J. High Energy Phys. contributor: fullname: Imamura – volume: 125 start-page: 1 year: 1977 end-page: 28 ident: br0330 article-title: Gauge theories and magnetic charge publication-title: Nucl. Phys. B contributor: fullname: Olive – volume: 128 start-page: 138 year: 1988 end-page: 142 ident: br0180 article-title: New solutions of the star triangle relations for the chiral Potts model publication-title: Phys. Lett. A contributor: fullname: Au-Yang – ident: br0220 article-title: About 30 years of integrable chiral Potts model, quantum groups at roots of unity and cyclic hypergeometric functions contributor: fullname: Perk – volume: 09 year: 2015 ident: br0490 article-title: Abelian 3d mirror symmetry on publication-title: J. High Energy Phys. contributor: fullname: Morita – volume: 48 year: 2015 ident: br0050 article-title: New solutions of the star–triangle relation with discrete and continuous spin variables publication-title: J. Phys. A contributor: fullname: Kels – ident: br0090 article-title: A new integrable Ising-type model from 2d contributor: fullname: Nazari – volume: 913 start-page: 747 year: 2016 end-page: 768 ident: br0380 article-title: Basic hypergeometry of supersymmetric dualities publication-title: Nucl. Phys. B contributor: fullname: Rosengren – volume: 198 start-page: 215 year: 2019 end-page: 224 ident: br0520 article-title: Pentagon identities arising in supersymmetric gauge theory computations publication-title: Teor. Mat. Fiz. contributor: fullname: Gahramanov – volume: 05 year: 2014 ident: br0270 article-title: Higgs branch localization in three dimensions publication-title: J. High Energy Phys. contributor: fullname: Peelaers – volume: 08 year: 2015 ident: br0040 article-title: The star-triangle relation and 3d superconformal indices publication-title: J. High Energy Phys. contributor: fullname: Spiridonov – volume: 11 year: 2012 ident: br0340 article-title: partition function and dualities publication-title: J. High Energy Phys. contributor: fullname: Yokoyama – volume: 821 start-page: 241 year: 2009 end-page: 284 ident: br0310 article-title: The complete superconformal index for N=6 Chern–Simons theory publication-title: Nucl. Phys. B contributor: fullname: Kim – volume: 02 year: 2017 ident: br0070 article-title: The star-triangle relation, lens partition function, and hypergeometric sum/integrals publication-title: J. High Energy Phys. contributor: fullname: Kels – year: 1982 ident: br0170 article-title: Exactly Solved Models in Statistical Mechanics contributor: fullname: Baxter – volume: 91 year: 2015 ident: br0510 article-title: Superconformal index on publication-title: Phys. Rev. D contributor: fullname: Morita – volume: 108 start-page: 1137 year: 2018 end-page: 1146 ident: br0290 article-title: Cluster-enriched Yang–Baxter equation from SUSY gauge theories publication-title: Lett. Math. Phys. contributor: fullname: Yamazaki – ident: br0570 article-title: On complex Gamma function integrals contributor: fullname: Manashov – volume: 50 year: 2017 ident: br0560 article-title: Gustafson integrals for publication-title: J. Phys. A contributor: fullname: Valinevich – ident: br0130 article-title: Integrable quad equations derived from the quantum Yang-Baxter equation contributor: fullname: Kels – volume: 563 start-page: 181 year: 2012 end-page: 211 ident: br0010 article-title: Elliptic beta integrals and solvable models of statistical mechanics publication-title: Contemp. Math. contributor: fullname: Spiridonov – volume: 11 year: 2015 ident: br0280 article-title: Factorisation and holomorphic blocks in 4d publication-title: J. High Energy Phys. contributor: fullname: Pasquetti – volume: 50 year: 2017 ident: br0550 article-title: Spin chains and Gustafson's integrals publication-title: J. Phys. A contributor: fullname: Manashov – volume: 154 start-page: 895 year: 2014 ident: br0030 article-title: New integrable models from the Gauge/YBE correspondence publication-title: J. Stat. Phys. contributor: fullname: Yamazaki – volume: 10 year: 2015 ident: br0110 article-title: Quiver gauge theories and integrable lattice models publication-title: J. High Energy Phys. contributor: fullname: Yagi – volume: 372 start-page: 1547 year: 2008 end-page: 1550 ident: br0400 article-title: Exact solution of the Faddeev-Volkov model publication-title: Phys. Lett. A contributor: fullname: Sergeev – volume: 12 year: 2012 ident: br0430 article-title: Reducing the 4d index to the publication-title: J. High Energy Phys. contributor: fullname: Yan – volume: 154 start-page: 895 year: 2014 ident: 10.1016/j.nuclphysb.2020.115283_br0030 article-title: New integrable models from the Gauge/YBE correspondence publication-title: J. Stat. Phys. doi: 10.1007/s10955-013-0884-8 contributor: fullname: Yamazaki – ident: 10.1016/j.nuclphysb.2020.115283_br0570 contributor: fullname: Derkachov – volume: 372 start-page: 1547 year: 2008 ident: 10.1016/j.nuclphysb.2020.115283_br0400 article-title: Exact solution of the Faddeev-Volkov model publication-title: Phys. Lett. A doi: 10.1016/j.physleta.2007.10.053 contributor: fullname: Bazhanov – volume: 50 issue: 29 year: 2017 ident: 10.1016/j.nuclphysb.2020.115283_br0560 article-title: Gustafson integrals for SL(2,C) spin magnet publication-title: J. Phys. A contributor: fullname: Derkachov – volume: 2014 issue: 12 year: 2014 ident: 10.1016/j.nuclphysb.2020.115283_br0260 article-title: Higgs branch localization of 3d N=2 theories publication-title: PTEP contributor: fullname: Fujitsuka – volume: 12 year: 2012 ident: 10.1016/j.nuclphysb.2020.115283_br0430 article-title: Reducing the 4d index to the S3 partition function publication-title: J. High Energy Phys. contributor: fullname: Gadde – volume: 128 start-page: 138 year: 1988 ident: 10.1016/j.nuclphysb.2020.115283_br0180 article-title: New solutions of the star triangle relations for the chiral Potts model publication-title: Phys. Lett. A doi: 10.1016/0375-9601(88)90896-1 contributor: fullname: Baxter – volume: 09 year: 2011 ident: 10.1016/j.nuclphysb.2020.115283_br0440 article-title: Relation between the 4d superconformal index and the S3 partition function publication-title: J. High Energy Phys. contributor: fullname: Imamura – volume: 704 start-page: 234 year: 2011 ident: 10.1016/j.nuclphysb.2020.115283_br0420 article-title: From 4d superconformal indices to 3d partition functions publication-title: Phys. Lett. B doi: 10.1016/j.physletb.2011.09.007 contributor: fullname: Dolan – volume: 08 year: 2015 ident: 10.1016/j.nuclphysb.2020.115283_br0040 article-title: The star-triangle relation and 3d superconformal indices publication-title: J. High Energy Phys. contributor: fullname: Gahramanov – volume: 10 year: 2015 ident: 10.1016/j.nuclphysb.2020.115283_br0110 article-title: Quiver gauge theories and integrable lattice models publication-title: J. High Energy Phys. contributor: fullname: Yagi – volume: 125 start-page: 1 year: 1977 ident: 10.1016/j.nuclphysb.2020.115283_br0330 article-title: Gauge theories and magnetic charge publication-title: Nucl. Phys. B doi: 10.1016/0550-3213(77)90221-8 contributor: fullname: Goddard – volume: 06 year: 2011 ident: 10.1016/j.nuclphysb.2020.115283_br0320 article-title: Superconformal indices of three-dimensional theories related by mirror symmetry publication-title: J. High Energy Phys. contributor: fullname: Krattenthaler – ident: 10.1016/j.nuclphysb.2020.115283_br0130 contributor: fullname: Kels – volume: 02 year: 2016 ident: 10.1016/j.nuclphysb.2020.115283_br0500 article-title: Varieties of Abelian mirror symmetry on RP2×S1 publication-title: J. High Energy Phys. contributor: fullname: Mori – volume: 05 year: 2013 ident: 10.1016/j.nuclphysb.2020.115283_br0370 article-title: Exact results in D=2 supersymmetric gauge theories publication-title: J. High Energy Phys. contributor: fullname: Doroud – volume: 51 start-page: 273 year: 2015 ident: 10.1016/j.nuclphysb.2020.115283_br0460 article-title: Mathematical structures behind supersymmetric dualities publication-title: Arch. Math. contributor: fullname: Gahramanov – volume: 1194 issue: 1 year: 2019 ident: 10.1016/j.nuclphysb.2020.115283_br0530 article-title: New pentagon identities revisited publication-title: J. Phys. Conf. Ser. contributor: fullname: Jafarzade – ident: 10.1016/j.nuclphysb.2020.115283_br0090 contributor: fullname: Jafarzade – volume: 34 issue: 18 year: 2019 ident: 10.1016/j.nuclphysb.2020.115283_br0080 article-title: Comments on the multi-spin solution to the Yang-Baxter equation and basic hypergeometric sum/integral identity publication-title: Mod. Phys. Lett. A doi: 10.1142/S0217732319501402 contributor: fullname: Gahramanov – volume: 198 start-page: 215 issue: 2 year: 2019 ident: 10.1016/j.nuclphysb.2020.115283_br0520 article-title: Pentagon identities arising in supersymmetric gauge theory computations publication-title: Teor. Mat. Fiz. doi: 10.1134/S0040577919020028 contributor: fullname: Bozkurt – volume: 10 year: 2018 ident: 10.1016/j.nuclphysb.2020.115283_br0120 article-title: From rarefied elliptic beta integral to parafermionic star-triangle relation publication-title: J. High Energy Phys. contributor: fullname: Sarkissian – volume: 47 year: 2014 ident: 10.1016/j.nuclphysb.2020.115283_br0200 article-title: A new solution of the star-triangle relation publication-title: J. Phys. A doi: 10.1088/1751-8113/47/5/055203 contributor: fullname: Kels – volume: 1802 issue: 2 year: 2018 ident: 10.1016/j.nuclphysb.2020.115283_br0100 article-title: Lens elliptic gamma function solution of the Yang–Baxter equation at roots of unity publication-title: J. Stat. Mech. doi: 10.1088/1742-5468/aaa8fd contributor: fullname: Kels – volume: 48 year: 2015 ident: 10.1016/j.nuclphysb.2020.115283_br0060 article-title: Integrability from 2d N=(2,2) dualities publication-title: J. Phys. A doi: 10.1088/1751-8113/48/39/394001 contributor: fullname: Yamazaki – volume: 05 year: 2014 ident: 10.1016/j.nuclphysb.2020.115283_br0270 article-title: Higgs branch localization in three dimensions publication-title: J. High Energy Phys. contributor: fullname: Benini – volume: 334 start-page: 1483 issue: 3 year: 2015 ident: 10.1016/j.nuclphysb.2020.115283_br0360 article-title: Partition functions of N=(2,2) gauge theories on S2 and vortices publication-title: Commun. Math. Phys. doi: 10.1007/s00220-014-2112-z contributor: fullname: Benini – volume: 09 year: 2015 ident: 10.1016/j.nuclphysb.2020.115283_br0490 article-title: Abelian 3d mirror symmetry on RP2×S1 with Nf=1 publication-title: J. High Energy Phys. contributor: fullname: Tanaka – volume: 11 year: 2015 ident: 10.1016/j.nuclphysb.2020.115283_br0280 article-title: Factorisation and holomorphic blocks in 4d publication-title: J. High Energy Phys. contributor: fullname: Nieri – volume: 05 year: 2012 ident: 10.1016/j.nuclphysb.2020.115283_br0020 article-title: Quivers, YBE and 3-manifolds publication-title: J. High Energy Phys. contributor: fullname: Yamazaki – volume: 50 issue: 29 year: 2017 ident: 10.1016/j.nuclphysb.2020.115283_br0550 article-title: Spin chains and Gustafson's integrals publication-title: J. Phys. A contributor: fullname: Derkachov – volume: 325 start-page: 421 issue: 2 year: 2014 ident: 10.1016/j.nuclphysb.2020.115283_br0410 article-title: Elliptic hypergeometry of supersymmetric dualities II. Orthogonal groups, knots, and vortices publication-title: Commun. Math. Phys. doi: 10.1007/s00220-013-1861-4 contributor: fullname: Spiridonov – volume: 784 start-page: 234 year: 2007 ident: 10.1016/j.nuclphysb.2020.115283_br0390 article-title: Faddeev-Volkov solution of the Yang-Baxter equation and discrete conformal symmetry publication-title: Nucl. Phys. B doi: 10.1016/j.nuclphysb.2007.05.013 contributor: fullname: Bazhanov – volume: 15 start-page: 650 issue: 6 year: 2018 ident: 10.1016/j.nuclphysb.2020.115283_br0150 article-title: Integrable lattice spin models from supersymmetric dualities publication-title: Phys. Part. Nucl. Lett. doi: 10.1134/S1547477118060079 contributor: fullname: Gahramanov – volume: 913 start-page: 747 year: 2016 ident: 10.1016/j.nuclphysb.2020.115283_br0380 article-title: Basic hypergeometry of supersymmetric dualities publication-title: Nucl. Phys. B doi: 10.1016/j.nuclphysb.2016.10.004 contributor: fullname: Gahramanov – ident: 10.1016/j.nuclphysb.2020.115283_br0230 contributor: fullname: Perk – volume: 108 start-page: 1137 issue: 4 year: 2018 ident: 10.1016/j.nuclphysb.2020.115283_br0290 article-title: Cluster-enriched Yang–Baxter equation from SUSY gauge theories publication-title: Lett. Math. Phys. contributor: fullname: Yamazaki – volume: 563 start-page: 181 year: 2012 ident: 10.1016/j.nuclphysb.2020.115283_br0010 article-title: Elliptic beta integrals and solvable models of statistical mechanics publication-title: Contemp. Math. doi: 10.1090/conm/563/11170 contributor: fullname: Spiridonov – volume: 11 start-page: 27 year: 1997 ident: 10.1016/j.nuclphysb.2020.115283_br0190 article-title: Star-triangle and star-star relations in statistical mechanics publication-title: Int. J. Mod. Phys. B doi: 10.1142/S0217979297000058 contributor: fullname: Baxter – volume: 86 year: 2012 ident: 10.1016/j.nuclphysb.2020.115283_br0240 article-title: 4d index to 3d index and 2d TQFT publication-title: Phys. Rev. D doi: 10.1103/PhysRevD.86.065015 contributor: fullname: Benini – volume: 821 start-page: 241 year: 2009 ident: 10.1016/j.nuclphysb.2020.115283_br0310 article-title: The complete superconformal index for N=6 Chern–Simons theory publication-title: Nucl. Phys. B doi: 10.1016/j.nuclphysb.2009.06.025 contributor: fullname: Kim – volume: 11 year: 2012 ident: 10.1016/j.nuclphysb.2020.115283_br0340 article-title: S3/Zn partition function and dualities publication-title: J. High Energy Phys. contributor: fullname: Imamura – volume: 268 start-page: 175 issue: 1–2 year: 1999 ident: 10.1016/j.nuclphysb.2020.115283_br0540 article-title: The large-n limits of the chiral Potts model publication-title: Phys. A, Stat. Mech. Appl. doi: 10.1016/S0378-4371(98)00386-0 contributor: fullname: Au-Yang – ident: 10.1016/j.nuclphysb.2020.115283_br0160 contributor: fullname: Yamazaki – volume: 46 year: 2013 ident: 10.1016/j.nuclphysb.2020.115283_br0470 article-title: Extended global symmetries for 4D N=1 SQCD theories publication-title: J. Phys. A doi: 10.1088/1751-8113/46/28/285403 contributor: fullname: Gahramanov – volume: 02 year: 2017 ident: 10.1016/j.nuclphysb.2020.115283_br0070 article-title: The star-triangle relation, lens partition function, and hypergeometric sum/integrals publication-title: J. High Energy Phys. contributor: fullname: Gahramanov – year: 2007 ident: 10.1016/j.nuclphysb.2020.115283_br0350 contributor: fullname: van de Bult – ident: 10.1016/j.nuclphysb.2020.115283_br0140 contributor: fullname: Kels – volume: 49 year: 2016 ident: 10.1016/j.nuclphysb.2020.115283_br0210 article-title: Quasi-classical expansion of the star-triangle relation and integrable systems on quad-graphs publication-title: J. Phys. A doi: 10.1088/1751-8113/49/46/464001 contributor: fullname: Bazhanov – volume: 1104 year: 2011 ident: 10.1016/j.nuclphysb.2020.115283_br0300 article-title: Index for three dimensional superconformal field theories with general R-charge assignments publication-title: J. High Energy Phys. contributor: fullname: Imamura – volume: 48 issue: 43 year: 2015 ident: 10.1016/j.nuclphysb.2020.115283_br0050 article-title: New solutions of the star–triangle relation with discrete and continuous spin variables publication-title: J. Phys. A doi: 10.1088/1751-8113/48/43/435201 contributor: fullname: Kels – volume: 11 year: 2017 ident: 10.1016/j.nuclphysb.2020.115283_br0480 article-title: From 3d duality to 2d duality publication-title: J. High Energy Phys. contributor: fullname: Aharony – volume: 313 start-page: 71 year: 2012 ident: 10.1016/j.nuclphysb.2020.115283_br0250 article-title: Localization of gauge theory on a four-sphere and supersymmetric Wilson loops publication-title: Commun. Math. Phys. doi: 10.1007/s00220-012-1485-0 contributor: fullname: Pestun – year: 1982 ident: 10.1016/j.nuclphysb.2020.115283_br0170 contributor: fullname: Baxter – ident: 10.1016/j.nuclphysb.2020.115283_br0220 contributor: fullname: Au-Yang – volume: 91 year: 2015 ident: 10.1016/j.nuclphysb.2020.115283_br0510 article-title: Superconformal index on RP2×S1 and mirror symmetry publication-title: Phys. Rev. D doi: 10.1103/PhysRevD.91.105023 contributor: fullname: Tanaka – start-page: 695 year: 2013 ident: 10.1016/j.nuclphysb.2020.115283_br0450 article-title: Superconformal indices and partition functions for supersymmetric field theories contributor: fullname: Gahramanov |
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Title | Gamma function solutions to the star-triangle equation |
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