High Energy Physics Seminar: Dr. Chaolun Wu, University of Chicago
Title: Title: Parity-Violating Holography for Quantum Hall Effects
Abstract: In this talk I will talk about how properties of quantum Hall effects can be understood using various holographic models - relativistic or non-relativistic, and with or without Chern-Simons terms. The talk is divided into two parts. In the first part, I will concentrate on two features of quantum
Hall effects - the emergence of Hall viscosity and angular momentum density, and the relation between them. I will first briefly review the basic concepts of Hall viscosity and the studies on it in the condensed matter literature. Then I will show how these properties can be understood by using classic models of relativistic holography, including holographic p+ip-wave superfluid model and gravitational Chern-Simons model. The holographic results show both agreements and discrepancies. The latter leads to the second part of the talk – to build up a class of non-relativistic holographic models whose dual field theories enjoy exactly all the symmetries (gauge, diffeomorphism and Weyl) possessed by the non-relativistic quantum field theory which describes quantum Hall effects.