Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série IPHT-PHM
Domaines math-ph
Date Lundi 24 Septembre 2018
Heure 11:00
Institut IPHT
Salle Salle Claude Itzykson, Bât. 774
Nom de l'orateur Ilmar Gahramanov
Prenom de l'orateur
Addresse email de l'orateur
Institution de l'orateur IHES
Titre Progress in integrable models of statistical mechanics inspired by supersymmetric gauge theories
Résumé Recently, there has been observed several connections of integrable models to supersymmetric gauge theories and special functions of hypergeometric type. One of such connections is a correspondence between supersymmetric quiver gauge theories and integrable lattice models such that the integrability emerges as a manifestation of supersymmetric dualities. Particularly, partition functions of supersymmetric quiver gauge theories with four supercharge on different manifolds can be identified with partition functions of two-dimensional exactly solvable statistical models. This relationship has led to the construction of new exactly solvable models of statistical mechanics, namely the Yang-Baxter equation was solved in terms of new special functions. In the talk, I will review this progress and present some new solutions of the Yang-Baxter equation.
Numéro de preprint arXiv
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