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Integrable Lattice Spin Models from Supersymmetric Dualities

dc.contributor.authorGahramanov, Ilmar
dc.contributor.authorJafarzade, Shahriyar
dc.date.accessioned2025-01-09T20:07:46Z
dc.date.available2025-01-09T20:07:46Z
dc.date.issued2018
dc.identifier.issn1547-4771
dc.identifier.issn1531-8567
dc.identifier.urihttps://doi.org/10.1134/S1547477118060079
dc.identifier.urihttps://hdl.handle.net/20.500.14124/7668
dc.description.abstractRecently, there has been observed an interesting correspondence between supersymmetric quiver gauge theories with four supercharges and integrable lattice models of statistical mechanics such that the two-dimensional spin lattice is the quiver diagram, the partition function of the lattice model is the partition function of the gauge theory and the Yang-Baxter equation expresses the identity of partition functions for dual pairs. This correspondence is a powerful tool which enables us to generate new integrable models. The aim of the present paper is to give a short account on a progress in integrable lattice models which has been made due to the relationship with supersymmetric gauge theories and make clear notes on the special functions used by several authors.en_US
dc.description.sponsorshipICTP (Trieste, Italy) Postgraduate Diploma Program; BAP Project - Mimar Sinan Fine Arts University, Istanbul, Turkey [2018-18]en_US
dc.description.sponsorshipThe authors would like to thank all participants of Quantum integrability seminars at the Physics Department of Mimar Sinan Fine Arts University, especially to Deniz Bozkurt, Dogu Donmez and Sinan Sevim for discussions on the subject and on some parts of the paper. The authors are also thankful to Zainab Nazari for fruitful discussions. IG would like to express his sincere thanks to Vyacheslav Spiridonov, Andrew Kels, Hjalmar Rosengren, Masahito Yamazaki and Gonenc Mogol for valuable discussions on the subject. Sh.J is thankful to ICTP (Trieste, Italy) Postgraduate Diploma Program for supporting and the Max-Planck Institut fur Gravitationsphysik (Albert-Einstein-Institut) for warm hospitality. IG would like to thank The Institut des HautesEtudes Scientifiques (IHES) and Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna where some parts of the work were done for the hospitality. This research is financially supported by BAP Project (no. 2018-18), funded by Mimar Sinan Fine Arts University, Istanbul, Turkey.en_US
dc.language.isoengen_US
dc.publisherPleiades Publishing Incen_US
dc.relation.ispartofPhysics of Particles and Nuclei Lettersen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectYang-Baxter equationen_US
dc.subjectstar-triangle relationen_US
dc.subjectintegrable modelsen_US
dc.subjectexactly solvable modelsen_US
dc.subjectsupersymmetry with four superchargeen_US
dc.subjectsupersymmetric dualityen_US
dc.subjectelliptic hypergeometric functionen_US
dc.subjectbasic hypergeometric functionen_US
dc.subjecthyperbolichypergeometric functionen_US
dc.titleIntegrable Lattice Spin Models from Supersymmetric Dualitiesen_US
dc.typearticleen_US
dc.authoridGahramanov, Ilmar/0000-0002-1665-5306
dc.authoridJafarzade, Shahriyar/0000-0002-4353-0760
dc.departmentMimar Sinan Güzel Sanatlar Üniversitesien_US
dc.identifier.doi10.1134/S1547477118060079
dc.identifier.volume15en_US
dc.identifier.issue6en_US
dc.identifier.startpage650en_US
dc.identifier.endpage667en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.wosqualityN/A
dc.identifier.wosWOS:000451058200012
dc.identifier.scopus2-s2.0-85057007944
dc.identifier.scopusqualityQ4
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.snmzKA_20250105


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