Infrared Realization of dS2_2 in AdS2_2

preprint2020arXivOpen access

Abstract

We describe a two-dimensional geometry that smoothly interpolates between an asymptotically AdS2_2 geometry and the static patch of dS2_2. 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 AdS2_2 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.

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