Hybrid RBRC seminar

"Aspects of higher dimensional quantum Hall effect: Effective actions, entanglement entropy"

Presented by Prof. Dimitra Karabali, Lehman College

Thursday, June 15, 2023, 12:30 pm — Bldg. 510, Room 2-160

Abstract: 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.

Hosted by: Nobuyuki Matsumoto

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