Abstract
Generalized dilaton gravity in 2d is the most general consistent deformation of the Jackiw–Teitelboim model that maintains local Lorentz invariance. The action is generically not power-counting renormalizable, thus going beyond the class of models typically studied. Nevertheless, all these models are exactly soluble. We focus on a subclass of dilaton scale invariant models. Within this subclass, we identify a 3-parameter family of models that describe black holes asymptoting to AdS_22 in the UV and to dS_22 in the IR. Since these models could be interesting for holography, we address thermodynamics and boundary issues, including boundary charges, asymptotic symmetries and holographic renormalization.
Highlights
We focus on a subclass of models that exhibit an extra symmetry at the level of equations of motion (EOM), namely dilaton scale invariance, meaning that under constant rescalings
We identify a 3-parameter family of models, the solutions of which asymptote to AdS2 in the UV and to dS2 in the IR, without the need for matter degrees of freedom, domain walls or other auxiliary constructions
Since these models may have useful applications in holography, the remainder of the paper is devoted to their detailed study, including boundary issues, asymptotic symmetries and holographic renormalization
Summary
An efficient way to define physical models is to write down the most general action compatible with the desired field content, global and gauge symmetries, and other physical requirements, such as power-counting renormalizability. Within the model space defined by (2) there is an infinite class of such models, labelled by one free function of one variable Within this infinite class, we identify a 3-parameter family of models, the solutions of which asymptote to AdS2 in the UV (from a dual field theory perspective) and to dS2 in the IR, without the need for matter degrees of freedom, domain walls or other auxiliary constructions. Since these models may have useful applications in holography, the remainder of the paper is devoted to their detailed study, including boundary issues, asymptotic symmetries and holographic renormalization.
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