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Explore a detailed physics lecture where Mikhail Alfimov from Lebedev Physics Institute and Higher School of Economics delves into integrable deformations of 2D sigma models and their dual descriptions through Toda-type theories. Learn about screening charge systems with continuous parameter b, examining how they determine deformed sigma models and quantum field theories of Toda type at different limits. Understand the relationship between 2-particle scattering matrices and trigonometric S-matrix expansions, while discovering how the leading ultraviolet asymptotic of deformed sigma models aligns with perturbed Gaussian theory. Follow the analysis of renormalization group flows in various models including deformed O(3) and N=2 supersymmetric CP(N), examining the simplified beta-function that enables solution of renormalization group flow equations up to fourth loop order.
