Deformations of the Almheiri-Polchinski model

Abstract

We study deformations of the Almheiri-Polchinski (AP) model by employing the Yang-Baxter deformation technique. The general deformed AdS 2 metric becomes a solution of a deformed AP model. In particular, the dilaton potential is deformed from a simple quadratic form to a hyperbolic function-type potential similarly to integrable deformations. A specific solution is a deformed black hole solution. Because the deformation makes the spacetime structure around the boundary change drastically and a new naked singularity appears, the holographic interpretation is far from trivial. The Hawking temperature is the same as the undeformed case but the Bekenstein-Hawking entropy is modified due to the deformation. This entropy can also be reproduced by evaluating the renormalized stress tensor with an appropriate counter-term on the regularized screen close to the singularity.

Classical Yang-Baxter equation from supergravity

“…Equation (14) recently appeared in [45]. Note that these EOMs split between the AdS 2 and S 2 spaces, but are connected via the constant dilaton shift.…”

On the Liouville 2D dilaton gravity models with sinh-Gordon matter

“…One can see that the action (4.3) exactly reproduces, up to normalization factors, the hyperbolic deformation (see [13,14]) of the Jackiw-Teitelboim gravity model. The vacuum solution assumes that the matter field f = 0 vanishes.…”

“…Their properties should be analyzed for every particular choice of the matter fields χ and f . Similar to the cases of Jackiw-Teitelboim gravity [12] or its hyperbolic deformation [13,14], one can use the derived solutions to describe collapsing matter problem, holography, thermodynamics, and Hawking radiation effects. We will return to these interesting questions in future publications.…”

“…It can be also generalized to a non-static case [13,14] that includes the collapsing shell of null matter f .…”

“…In this paper we use a simpler method to derive the hyperbolic deformation [13,14] of the Jackiw-Teitelboim model and further generalize it to include sinh-Gordon type matter field. The class of the proposed dilaton gravity models is still exactly solvable for a variety of choices of matter and dilaton distributions.…”