17–21 Apr 2023
Department of Applied Mathematics and Theoretical Physics
Europe/London timezone

The central dogma and entanglement in de Sitter space

21 Apr 2023, 10:00
1h
MR2 (Department of Applied Mathematics and Theoretical Physics)

MR2

Department of Applied Mathematics and Theoretical Physics

Wilberforce Rd, Cambridge CB3 0WA

Speaker

Edgar Shaghoulian (University of California Santa Cruz)

Description

The central dogma of black hole physics – which says that from the outside a black hole can be described in terms of a quantum system with exp(Area/4G) states evolving unitarily – has recently been supported by computations indicating that the interior of the black hole is encoded in the Hawking radiation of the exterior. In this talk, we probe whether such a dogma for cosmological horizons has any support from similar computations.The fact that the de Sitter bifurcation surface is a minimax surface (instead of a maximin surface in the case of black holes) causes problems with this interpretation when trying to import calculations analogous to the AdS case. This suggests placing the holographic dual on the de Sitter horizon itself, where we formulate a two-sided extremization prescription for computing entanglement entropy in the holographic dual. We find answers consistent with general expectations for a quantum theory of de Sitter space, including a vanishing total entropy and an entropy of A/4G when restricting to a single static patch. We will also explore some other approaches to probing a microscopic foundation for the Gibbons-Hawking entropy.

Author

Edgar Shaghoulian (University of California Santa Cruz)

Presentation materials