Infrared Realization of dS$_2$ in AdS$_2$
High Energy Physics - Theory
2020-08-19 v2
Abstract
We describe a two-dimensional geometry that smoothly interpolates between an asymptotically AdS geometry and the static patch of dS. We find this `centaur' geometry to be a solution of dilaton gravity with a specific class of potentials for the dilaton. We interpret the centaur geometry as a thermal state in the putative quantum mechanics dual to the AdS evolved with the global Hamiltonian. We compute the thermodynamic properties and observe that the centaur state has finite entropy and positive specific heat. The static patch is the infrared part of the centaur geometry. We discuss boundary observables sensitive to the static patch region.
Cite
@article{arxiv.1703.04622,
title = {Infrared Realization of dS$_2$ in AdS$_2$},
author = {Dionysios Anninos and Diego M. Hofman},
journal= {arXiv preprint arXiv:1703.04622},
year = {2020}
}
Comments
30 pages + appendices, 3 figures. v2: minor changes