Mathematical Physics Seminar: Zohar Ringel

Mathematical Physics Seminar
Thursday, March 10, 2016 - 15:00
Hall H - Arts Building

Can we generalize Landau levels to spins on a lattice?

In the past few years many new symmetry protected topological phases (SPTs) of spin systems have been discovered theoretically. The main tool by which these were analyzed -- the group cohomology approach, shows little if any connection to more physical approaches used for handling the fractional quantum Hall effect (FQHE) which are based on Landau levels and their connection with conformal field theories (CFTs).
In this talk I'll propose a method for analyzing groundstate wavefunctions of SPTs using a correspondence with conformal field theories (CFTs) and integrable lattice models. This method is a direct generalization of the CFT approach to the FQHE. In its kernel lays an intriguing correspondence between group cohomology cocycles and critical lattice models. Besides providing a unifying picture for two seemingly distinct phenomena, I discuss several new results which can be obtained using this approach to SPTs.

Place: Hall H - Arts Building - Maynooth University, North Campus