January 29, 2024 / Grigori Olshanskii (Skoltech, Kharkevich Inst., HSE Univ.) = = Infinite-dimensional groups over finite fields: results and problems February 5, 2024 / Nikita Belousov (Steklov Inst., St.Petersburg) = = Quantum hyperbolic Ruijsenaars system February 12, 2024 / Anton Dzhamay (BIMSA, Univ. of Northern Colorado) = = Geometry of discrete integrable systems: QRT maps and discrete Painlevé February 19, 2024 / Anton Shchechkin (INFN & SISSA, Trieste) = = Blowup relations on irregular conformal blocks as quantum Painleve equations February 26, 2024 / Kirill Polovnikov (Skoltech Center for AI Tech.) = = Hamiltonian of fractal Gaussian polymer states March 4, 2024 / Sergei Kuksin (Univ. Paris Cit ́e and Sorbonne Univ., RUDN Univ., Steklov Inst.) = = The Kolmogorov theory K41 and turbulence in 1d Burgers equation March 11, 2024 / Vsevolod Gubarev (Novosibirsk Univ., Sobolev Inst. of Mathematics) = = Rota—Baxter operators and different versions of Yang-Baxter equation |
March 18, 2024
Alexey Litvinov (Skoltech, Landau Inst.)
Yang-Baxter deformations of sigma models and integrable systems in conformal field theory
I will talk about an interesting class of two-dimensional field theories – YB-deformed sigma models on symmetric spaces. These theories are interesting from different points of view. Firstly, they admit a zero curvature representation, i.e. integrable. Secondly, they are renormalizable at one loop order (and asymptotically free), and therefore provide new analytical solutions to the Ricci flow equation. Thirdly, presumably they are integrable at the quantum level. Within the framework of conformal perturbation theory, the last statement should lead to some specific integrable system in conformal field theory, which have been actively studied recently