Seminars: A. N. Liashyk, Current realization of Bethe vectors

SEMINARS


Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS October 16, 2019 14:00, Moscow, Steklov Mathematical Institute of RAS, Room 404 (8 Gubkina)

Current realization of Bethe vectors A. N. Liashyk^ab ^a Skolkovo Institute of Science and Technology ^b National Research University "Higher School of Economics", Moscow
Abstract: I want to tell how the current realization of Yangian helps to construct Bethe vectors for different algebras. A basic example is the case of $gl_2$. We will consider different ways of describing of Bethe vectors and the relations between them. Then we will look at the scalar products of Bethe vectors and describe the results that the current approach gives.