Date:
Tue, 28/03/201712:00-13:00
Location:
White Dove Conference Hall at Neve-Shalom
Lecturer: Dr. Misha Isachenkov
Affiliation:
Department of Particle Physics and Astrophysics
Weizmann Institute of Science
Abstract:
We will discuss a relation between conformal blocks, describing kinematics of a CFT, and integrable models of quantum-mechanical particles. I will show how the dependence of blocks on cross-ratios is encoded in equations of motion of a Calogero-Sutherland model and their dependence on conformal dimension and spin of the exchanged operator - in those of a relativistic Calogero-Sutherland model. Both are simultaneously controlled by an integrable connection generalizing 2d Knizhnik-Zamolodchikov equations. The connection is associated to representations of degenerate double affine Hecke algebra, which allows for a uniform treatment of conformal blocks with spin via this approach.
Additional details of the upcoming Joint
Seminars in Theoretical High Energy Physics
can be found on the following link.
Affiliation:
Department of Particle Physics and Astrophysics
Weizmann Institute of Science
Abstract:
We will discuss a relation between conformal blocks, describing kinematics of a CFT, and integrable models of quantum-mechanical particles. I will show how the dependence of blocks on cross-ratios is encoded in equations of motion of a Calogero-Sutherland model and their dependence on conformal dimension and spin of the exchanged operator - in those of a relativistic Calogero-Sutherland model. Both are simultaneously controlled by an integrable connection generalizing 2d Knizhnik-Zamolodchikov equations. The connection is associated to representations of degenerate double affine Hecke algebra, which allows for a uniform treatment of conformal blocks with spin via this approach.
Additional details of the upcoming Joint
Seminars in Theoretical High Energy Physics
can be found on the following link.