[Hybrid RBRC seminar] Aspects of higher dimensional quantum Hall effect: Effective actions, entanglement entropy

by Prof. Dimitra Karabali (Lehman College)

Thursday 15 Jun 2023, 12:30 → 13:30 US/Eastern

2-160 (https://bnl.zoomgov.com/j/1606067399?pwd=am02b0xIUXZ6TDR3d1dWL05TTDdaUT09)

I will present the formulation of higher dimensional QHE on complex projective spaces, with both abelian (electromagnetic) and nonabelian background fields and derive the effective actions describing the edge/bulk dynamics and the responses to changes in the external gauge and gravitational fields (related to the Hall conductivity, Hall viscosity, etc). I will also discuss the calculation of the entanglement entropy for such systems.  In the case of the LLL, a semiclassical analysis shows that the entanglement entropy is proportional to the phase-space area of the entangling surface with a universal overall constant, same for any dimension as well as abelian or nonabelian background magnetic fields.

BNL23.pdf