Weyl transformation and regular solutions in a deformed Jackiw-Teitelboim model

Abstract

We revisit a deformed Jackiw-Teitelboim model with a hyperbolic dilaton potential, constructed in the preceding work [arXiv:1701.06340]. Several solutions are discussed in a series of the subsequent papers, but all of them are pathological because of a naked singularity intrinsic to the deformation. In this paper, by employing a Weyl transformation to the original deformed model, we consider a Liouville-type potential with a cosmological constant term. Then regular solutions can be constructed with coupling to a conformal matter by using $SL(2)$ transformations. For a black hole solution, the Bekenstein-Hawking entropy is computed from the area law. It can also be reproduced by evaluating the boundary stress tensor with an appropriate local counter-term (which is essentially provided by a Liouville-type potential).

19 pages, LaTeX, further clarifications, references added and an appendex removed

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Cited by in corpus (12)

• Liouville quantum gravity -- holography, JT and matrices
• Dilaton-gravity, deformations of the minimal string, and matrix models
• Jackiw-Teitelboim Gravity in the Second Order Formalism
• From Kronecker to tableau pseudo-characters in tensor models
• JT Gravity Limit of Liouville CFT and Matrix Model
• $T\bar{T}$-deformation and Liouville gravity
• Models of phase stability in Jackiw-Teitelboim gravity
• SYK/AdS duality with Yang-Baxter deformations
• Holographic derivation of $q$ SYK spectrum with Yang-Baxter shift
• Gravitational perturbations as $T\bar{T}$-deformations in 2D dilaton gravity systems
• Supersymmetric V-systems
• Boundary Conditions for $\mathrm{Ad}{\mathrm{S}}_2$ Dilaton Gravity