Select All
PIRSA:17110135

Bimetric theory of Fractional Quantum Hall States

APA

Gromov, A. (2017). Bimetric theory of Fractional Quantum Hall States. Perimeter Institute for Theoretical Physics. https://pirsa.org/17110135

Andrey Gromov University of California, Berkeley

Talk numberPIRSA:17110135
Source RepositoryPIRSA
Collection

Abstract

I will describe the recently developed bimetric theory of fractional quantum Hall states. It is an effective theory that includes the Chern-Simons term that describes the topological properties of the fractional quantum Hall state, and a non-linear, a la bimetric massive gravity action that describes gapped Girvin-MacDonald-Platzman mode at long wavelengths. The theory reproduces the universal features of the chiral lowest Landau level (LLL) FQH states that lie beyond the reach of pure Chern-Simons theory, such as the projected static structure factor and the Girvin-MacDonald-Platzman algebra. The action of particle-hole transformation on the theory is particularly transparent. Familiar quantum Hall observables acquire a geometric interpretation in the bimetric language