Spin-s Q-systems: Twist and Open Boundaries

Abstract: In this talk, I will explore the eigenvalue problem of integrable spin chains using the Bethe ansatz. I will begin with a review of the rational Q-system, a powerful tool for solving Bethe equations. Then, I will demonstrate how Bethe solutions evolve under twist boundaries. Most importantly, I will highlight our key findings: the discovery of hidden symmetries and magnetic strings under specific open boundary parameters. These novel phenomena provide new insights into the interplay between symmetries and boundary conditions.

mathematical physicsdynamical systemsquantum algebrarepresentation theorysymplectic geometry

Audience: general audience

BIMSA Integrable Systems Seminar

Series comments: The aim is to bring together experts in integrable systems and related areas of theoretical and mathematical physics and mathematics. There will be research presentations and overview talks.

Audience: Graduate students and researchers interested in integrable systems and related mathematical structures, such as symplectic and Poisson geometry and representation theory.

The zoom link will be distributed by mail, so please join the mailing list if you are interested in attending the seminar.