Ruijsenaars duality for B, C, D Toda chains
Organizers
Speaker
Time
Tuesday, June 4, 2024 4:00 PM - 5:00 PM
Venue
A6-101
Online
Zoom 873 9209 0711
(BIMSA)
Abstract
We use the Hamiltonian reduction method to construct the Ruijsenaars dual systems to generalized Toda chains associated with the classical Lie algebras of types $B$, $C$, $D$. The dual systems turn out to be the $B$, $C$, and $D$ analogues of the rational Goldfish model, which is, as in the type $A$ case, the strong coupling limit of rational Ruijsenaars systems. We explain how both types of systems emerge in the reduction of the cotangent bundle of a Lie group and provide the formulae for dual Hamiltonians. We compute explicitly the higher Hamiltonians of Goldfish models using the Cauchy-Binet theorem.
Joint work with Mikhail Vasilev, arXiv:2405.08620.
Joint work with Mikhail Vasilev, arXiv:2405.08620.
Speaker Intro
Ivan Sechin has defended a PhD thesis on Mathematical Physics at Skoltech in 2022 and joined BIMSA in 2022. His research interests are mainly devoted to classical and quantum integrable systems.