Bethe subalgebras and Kirillov-Reshetikhin crystals
演讲者
Leonid Rybnikov
时间
2023年03月10日 17:00 至 18:30
地点
A6-101
摘要
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 affine (Kirillov-Reshetikhin) crystal structure on the set of eigenlines for a Bethe subalgebra in a representation of the Yangian (under certain conditions on the representation, satisfied by all tensor products of Kirillov-Reshetikhin modules in type A). 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.