Abstract:
Quantum spin Calogero-Moser system is a quantum superintegrable
system. Its spectrum has a natural description in terms of representation theory
of the underlying simple Lie group. In the first part of the talk we will overview
this quantum system and will show that its multitime propagator is the
partition function of two dimensional Yang-Mills theory on a cylinder.
In the second part we define the Yang-Mills theory with open Wilson lines
and will argue that it is an extended topological quantum field theory in
dimensions 2-1-0. This is a joint work with J. Stokman.