Speaker: Antons Pribitoks (BIMSA/YMSC)

Title: Boost Automorphic Symmetry and AdS Integrable Deformations

Date and time:  26.11.2025, 17:00 (GMT +03:00)

Abstract: We address the new structures arising in quantum and string integrable theories, as well as construct a method to find them. Initially we implement the automorphic symmetries on periodic lattice systems and exploit properties of an integrable hierarchy. This prescription is first applied for the new sl_2 sector, Generalised Hubbard type classes and more. We then construct a boost recursion for systems with R-/S-matrices that exhibit arbitrary spectral dependence, which is also an apparent property of the scattering in string theory integrable backgrounds. The generalised bottom-up approach based on coupled differential systems is derived to resolve for exact form of the associated R-matrices. In addition, we single out a class of quantum integrable models whose two-body S-matrices are of non-difference type and which induce a new integrable structure on AdS string backgrounds. These models can be rigorously realised as deformations of the AdS_3 and AdS_2 string worldsheet theories. We demonstrate that their R-matrices, among braiding unitarity and crossing symmetry, satisfy the free-fermion condition and give rise to deformed Hopf (super)algebra structures. The corresponding deformed algebraic structures closely parallel with integrable string models on AdS_3 x S^3b x M^4 and AdS_2 x S^2 x T^6, thereby providing a unified framework for their non-difference-form deformations. 

To access the online seminar please contact  Anna Tolbey bekvaanna@gmail.com