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We present a revisitation of the Almheiri-Polchinski dilaton gravity modelfrom a two-dimensional (2D) bulk perspective. We describe a peculiar feature ofthe model, namely the pattern of conformal symmetry breaking using bulk Killingvectors, a covariant definition of mass and the flow between different vacua ofthe theory. We show that the effect of the symmetry breaking is both thegeneration of an infrared scale (a mass gap) and to make local the Goldstonemodes associated with the asymptotic symmetries of the 2D spacetime. In thisway a non vanishing central charge is generated in the dual conformal theory,which accounts for the microscopic entropy of the 2D black hole. The use ofcovariant mass allows to compare energetically the two different vacua of thetheory and to show that at zero temperature the vacuum with a constant dilatonis energetically preferred. We also translate in the bulk language severalfeatures of the dual CFT discussed by Maldacena et al. The uplifting of the 2Dmodel to $(d+2)-$dimensional theories exhibiting hyperscaling violation isbriefly discussed.

Symmetries, Holography and Quantum Phase Transition in Two-dimensional Dilaton AdS Gravity