High Energy Theory Seminar

Series: High Energy Theory Seminar Series

Integrability of refined Chern-Simons theory

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).

Event Sponsors:

Division of Physics, Mathematics and Astronomy - More events from this Sponsor
Theoretical High Energy Physics - More events from this Sponsor

For more information, please contact Carol Silberstein by phone at 6685 or by email at [email protected] or visit http://www.theory.caltech.edu/people/seminar/schedule.html.