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arXiv · 1801.10537

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

Suguru Okumura·Kentaroh Yoshida
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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).

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Suguru Okumura, Kentaroh Yoshida. 2018-06-07. Weyl transformation and regular solutions in a deformed Jackiw-Teitelboim model. https://doi.org/10.1016/j.nuclphysb.2018.06.003

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