Holographic Entanglement Entropy and Topological Terms

Seminars

Joint Seminar of the themes “Theory of Fundamental Interactions” and “Modern Mathematical Physics”

Date and Time: Thursday, 29 November 2018, at 4:00 PM

Venue: Blokhintsev Hall (4th floor), Bogoliubov Laboratory of Theoretical Physics

Seminar topic: «Holographic Entanglement Entropy and Topological Terms»

Speaker: Rodrigo Olea (UNAB – Departamento de Ciencias Fisicas, Universidad Andres Bello, Santiago, Chile)

Abstract:

We consider the renormalization of holographic entanglement entropy (HEE) for Conformal Field Theories in odd dimensions, dual to Einstein gravity with negative cosmological constant in one dimension higher. We make explicit the equivalence between renormalized entropy and the renormalized area of the entangling surface. In particular, for constant-curvature surfaces, HEE is fully determined in terms of a single topological number (Euler characteristic). (Based on arXiv:1712.09099, 1803.04990 and 1806.10708)