Bethe subalgebras and Kirillov-Reshetikhin crystals

Time：2023-03-10 Fri 17:00-18:30

Venue：ZOOM: 815 4690 4797（PW: BIMSA）

Organizer：Nicolai Reshetikhin,Andrey Tsiganov,Ivan Sechin

Speaker：Leonid Rybnikov Higher School of Economics, Moscow

Abstract

Bethe subalgebras form a family of maximal commutative subalgebras of the Yangian of a simple Lie algebra, parametrized by regular elements of the corresponding adjoint Lie group. We introduce an affinecrystal structure on the set of eigenlines for a Bethe subalgebra in a representation of the Yangian. This helps to describe the monodromy of solutions of Bethe ansatz for the corresponding XXX Heisenberg magnet chain. This is a joint project with Inna Mashanova-Golikova and Vasily Krylov.

DATEMarch 10, 2023

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