Towards Lefschetz Thimbles in Quantum Field Theory - Part II

In this second lecture of a series, Professor Nikita Nekrasov from Stony Brook University continues his exploration of "Towards Lefschetz thimbles in quantum field theory." Delve into advanced concepts that address the limitations of traditional approaches to quantizing classical mechanical systems and field theories. Learn how complexified systems can provide more accurate solutions to equations of motion, moving beyond the 40-year-old "instanton gas" approximation method. Discover the connections between these ideas and the Bethe/gauge correspondence and Ω-deformed B-model. The lecture covers applications to algebraic integrable systems, including Hitchin systems and the anharmonic oscillator, as well as 1+1 dimensional sigma models like O(N) and CP^{N-1} model, with references to work conducted with the late Igor Krichever. This 81-minute advanced theoretical physics lecture is presented by IMSA and builds upon concepts introduced in the first part of the series.