# Integrability of refined Chern-Simons theory

Friday, May 5, 2017

11:00 AM - 12:00 PM

Location: Lauritsen 469

Shamil Shakirov, Harvard University

It is known that Chern-Simons topological quantum field theory admits a one-parameter deformation -- refinement -- in the genus 1 sector. I will tell about a genus 2 generalization of this fact. Just like in the torus case, the crucial role is played by an interesting quantum-mechanical integrable system, which is a genus 2 generalization of Ruijsenaars-Schneider-Macdonald system. The knowledge of this quantum mechanics allows us to prove mathematically the corresponding mapping class group action, which is a genus 2 generalization of SL(2,Z).

**Series:**High Energy Theory Seminar Series

For more information, please phone 6685 or email carol@theory.caltech.edu or visit http://www.theory.caltech.edu/people/seminar/schedule.html