An Investigation of AdS$_2$ Backreaction and Holography
Abstract
We investigate a dilaton gravity model in AdS proposed by Almheiri and Polchinski and develop a 1d effective description in terms of a dynamical boundary time with a Schwarzian derivative action. We show that the effective model is equivalent to a 1d version of Liouville theory, and investigate its dynamics and symmetries via a standard canonical framework. We include the coupling to arbitrary conformal matter and analyze the effective action in the presence of possible sources. We compute commutators of local operators at large time separation, and match the result with the time shift due to a gravitational shockwave interaction. We study a black hole evaporation process and comment on the role of entropy in this model.
Keywords
Cite
@article{arxiv.1606.03438,
title = {An Investigation of AdS$_2$ Backreaction and Holography},
author = {Julius Engelsöy and Thomas G. Mertens and Herman Verlinde},
journal= {arXiv preprint arXiv:1606.03438},
year = {2016}
}
Comments
32 pages, 6 figures, v3: typos corrected and references added, matches published version