Title: On dual description of 2D integrable sigma models

Speaker: Mikhail Alfimov

Affiliation: National Research University Higher School of Economics, Russia(俄罗斯国家研究型高等经济大学）

Time: 14:00-15:00, Wednesday, 27th March, 2024 (UTC+8, Beijing Time)

Venue: Room 1502, Yifu Architecture Building, Sipailou Campus of Southeast University, Nanjing

           （东南大学四牌楼校区逸夫建筑馆丘成桐中心1502室）

Inviter: Yunfeng Jiang（江云峰）

Abstract  

There exist several known examples of integrable deformations of 2D sigma models, which admit so-called dual description in terms of Toda-like theories.  For such deformations we describe the system of screening charges depending on continuous parameter b, which defines the deformed sigma model in the limit b to infinity and a certain Toda QFT in the limit b to zero. In the sigma model regime it can be shown that the leading UV asymptotic of the deformed model coincides with a perturbed Gaussian theory. In the perturbative regime b to 0 one can see that the two-particle scattering matrix matches the expansion of the corresponding deformed sigma model trigonometric S-matrix. We illustrate the above description with the examples of O(N), OSp(N|2m) and other cases.

Speaker

Dr. Mikhail Alfimov is currently Associate Professor at the Faculty of Mathematics of HSE University and the Lebedev Physical Institute of the Russian Academy of Sciences. He was a research fellow at the Institut de Physique Théorique CEA Saclay, France from 2013 to 2016 and received his Ph.D. from École Normale Supérieure de Paris in 2018.

His research interests include supersymmetric gauge theory, conformal field theory, integrability, instanton calculus, AGT correspondence and BFKL physics.