Aspects of AdS$_2$ holography with non-constant dilaton
Daniel Grumiller, Jakob Salzer, Dmitri Vassilevich
TL;DR
The paper reviews AdS2 holography within 2D dilaton gravity, using a non-linear gauge theory (Poisson sigma model) formulation to study linear-dilaton vacua in Euclidean AdS2. It finds that allowing the dilaton to fluctuate at leading order yields a Virasoro asymptotic symmetry with central charge c = 24 k Xbar /(2π) and a Cardy entropy that agrees with gravitational calculations. The work connects to Schwarzian boundary dynamics via boundary terms and discusses implications for the one-loop partition function and Virasoro characters, outlining directions for future research.
Abstract
In this proceedings contribution we summarize and discuss results of Refs. \cite{Grumiller:2013swa, Grumiller:2015vaa} in the light of recent developments in $\textrm{AdS}_2$ holography \cite{Maldacena:2016upp, Jensen:2016pah, Engelsoy:2016xyb}.