Boundary Conditions for $\mathrm{Ad}{\mathrm{S}}_2$ Dilaton Gravity

Abstract

We study a bi-parametric family of dilaton gravity models with constant and negative curvature. This family includes the Jackiw-Teitelboim gravity and the Liouville gravity model induced by a bosonic string. Furthermore, this family is conformally equivalent to the hiperbolic dilaton models. We propose boundary conditions in the Fefferman-Graham and in the Eddington-Finkelstein gauge. We check the consistency of the asymptotic conditions by computing the entropy of their black hole solution.

14 pages. v3: typos corrected, references added, modifications on the introduction and final remarks section

References in corpus (6)

• AdS${}_2$ Holographic Dictionary
• Menagerie of AdS${}_2$ boundary conditions
• Supergroup Structure of Jackiw-Teitelboim Supergravity
• Flat JT Gravity and the BMS-Schwarzian
• 2D holography beyond the Jackiw-Teitelboim model
• Target space diffeomorphisms in Poisson sigma models and asymptotic symmetries in 2D dilaton gravities