Date: Friday, March 28, 2025
Times: 2:00pm & 5:45pm
Location: University of Miami, Lakeside Village Pavilion, 1280 Stanford Dr, Coral Gables, FL 33146
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Exploring Lefschetz Thimbles in Quantum Field Theory: New Approaches to Instanton Contributions and Complexified Equations of Motion
Math, Physics, and IMSA Joint Lecture Series: "Towards Lefschetz Thimbles in Quantum Field Theory" explores new approaches to quantization by finding exact solutions to complexified equations of motion. Drawing from the Bethe/gauge correspondence and Ω-deformed B-model, the talk covers algebraic integrable systems and 1+1-dimensional sigma models, based on work with the late Igor Krichever.
Friday, March 28, 2025, 2:00pm & 5:45pm
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Nikita Nekrasov, Stony Brook: "Towards Lefschetz thimbles in quantum field theory" I & II
In quantizing classical mechanical systems or classical field theories, one often sums over the classical trajectories as in localization formulas, but also takes into account the contributions of the “instanton gas”: a set of approximate solutions of the equations of motion. I will report on the attempts to alleviate some of the frustrations of this 40+ year-old approach by finding the honest solutions of equations of motion of the complexified systems. These ideas originate in the Bethe/gauge correspondence and the Ω-deformed B-model. The examples include algebraic integrable systems, from the abstract Hitchin systems to the well-studied anharmonic oscillator, and 1+1 dimensional sigma models, such as O(N) and CP^{N-1} model (based on the work with late Igor Krichever).
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