Princeton University Gravity Initiative Fall Seminar Series

Bulk-boundary Correspondence for Vacuum Asymptotically Anti-de Sitter Spacetimes

Abstract: The AdS/CFT conjecture in physics posits the existence of a correspondence between gravitational theories in asymptotically Anti-de Sitter (aAdS) spacetimes and field theories on their conformal boundary. In this presentation, we prove a rigorous mathematical statement toward this conjecture in the classical relativistic setting.

In particular, we show there is a one-to-one correspondence between aAdS solutions of the Einstein-vacuum equations and a suitable space of data on the conformal boundary (consisting of the boundary metric and the boundary stress-energy tensor), provided the boundary satisfies a geometric condition. We also discuss applications of this result to symmetry extension, as well as its connection to unique continuation problems.

This is joint work with Gustav Holzegel, and makes use of joint works with Alex McGill and Athanasios Chatzikaleas.

Date & Time

October 10, 2022 | 12:30pm – 1:30pm

Location

Princeton University, Jadwin Hall, Princeton Gravity Initiative, 4th Floor & Zoom

Speakers

Arick Shao

Speaker Affiliation

Queen Mary University of London