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Mathematical and Theoretical Physics, dedicated to Ludwig Faddeev
May 28, 2024 16:30, St. Petersburg, St. Petersburg Department of Steklov Mathematical Institute of the Russian Academy of Sciences


Zamolodchikov-Faddeev algebra in Ruijsenaars hyperbolic model

N. M. Belousov

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences


https://youtu.be/SNq-QYZ9nF0

Abstract: Ruijsenaars hyperbolic model was discovered in the mid-1980s as a many-body interacting system describing solitons trajectories for the famous sine-Gordon equation. The Hamiltonians of the quantum problem are multi-dimensional difference operators with shifts of coordinates in imaginary direction, and in 2012 Hällnas and Ruijsenaars managed to explicitly construct their eigenfunctions. Recently in the joint work with Derkachov, Kharchev and Khoroshkin we proved several properties of these eigenfunctions, including orthogonality, completeness and some symmetries. In the talk I will discuss the main tools we used and how they are related to the famous Zamolodchikov-Faddeev algebra.

Language: English


© Steklov Math. Inst. of RAS, 2024