Integrable structures in conformal field theory, affine Yangians and Bethe ansatz equations
Alexey Litvinov (Skoltech, Landau Institute)
Abstract: In this talk, I will discuss the affine Yangian approach to conformal field theories. The affine Yangian symmetry appears naturally in conformal field theories whose symmetry algebras admit representations as commutant of screening operators, including but not limited to Toda field theories of the BCD type.
I will follow certain examples and explain how this construction works, with special emphasis on the construction of off-shell/on-shell Bethe vectors.
My talk is based on the results obtained in collaboration with Ilya Vilkoviskiy, Elizaveta Chistyakova, Pavel Orlov, Dmitry Kolyaskin, Arkady Zhukov and Nikita Ignatyuk
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.
| Organizers: | NiŃolai Reshetikhin, Andrii Liashyk, Ivan Sechin, Andrey Tsiganov* |
| *contact for this listing |