dS${}_2$ as excitation of AdS${}_2$

Abstract

We introduce a family of 2D dilaton gravity models with state-dependent constant curvature so that dS${}_2$ emerges as an excitation of AdS${}_2$. Curiously, the strong coupling region corresponds to the asymptotic region geometrically. Apart from these key differences, many features resemble the Almheiri--Polchinski model. We discuss perturbative and non-perturbative thermodynamical stability, bubble nucleation through matter shockwaves, and semiclassical backreaction effects. In some of these models, we find that low temperatures are dominated by AdS${}_2$ but high temperatures are dominated by dS${}_2$, concurrent with a recent proposal by Susskind.

40 pages plus appendices, v2: added 2 refs and extended discussion in sec 6, v3: added ref and a comment in sec 4

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