On co-product property of Bethe vectors.
Organizers
Speaker
Time
Monday, December 22, 2025 3:20 PM - 4:30 PM
Venue
A7-201
Abstract
In this talk, I want to clarify the importance of the co-product property for Bethe vectors. With its help, many combinatorial identities for them can be proven. In particular, I want to show that it implies: 1) a formula for the scalar product of Bethe vectors; 2) a formula for the partition function of the 6-vertex model with domain wall boundary conditions; 3) Slavnov's determinant formula; 4) Gaudin's formula for the norm of eigenvectors.
Speaker Intro
Andrii Liashyk is a researcher in the field of integrated systems, mainly quantum ones. He received his degree from the Center for Advanced Study at Skoltech in 2020. In 2022 he joined BIMSA as a Assistant Professor.