Heating up holography for single-trace $$ J\overline{T} $$ deformations

Abstract

We study thermodynamic aspects of a tractable toy model of holography for extremal Kerr black holes proposed in [1]. On the gravity side, the theory can be described by the worldsheet action of string theory on a warped AdS 3 background supported by NS-NS flux. Once we turn on temperature, the deformed background is described by a black string solution of type IIB supergravity that features a locally warped AdS 3 factor. The dual field theory is conjectured to be a single-trace version of a JT -deformed CFT at finite temperature. As evidence for the correspondence we show that the spectrum of strings winding on the deformed background agrees with the spectrum of JT -deformed CFTs. Furthermore, we show that the gravitational charges of the black string match the averaged charges of a thermal ensemble in the dual field theory. Finally, we reproduce the Bekenstein-Hawking entropy of the black string from the microscopic density of states of JT -deformed CFTs.

TT¯ deformations as TsT transformations

“…transformations [93,94]. 22 This points to the fact that in pure-NSNS AdS 3 /CFT 2 , a rich interplay arises between deformations on the worldsheet and in the two-dimensional dual, which is yet to be explored.…”

Correlation functions, entanglement and chaos in the $$ T\overline{T}/J\overline{T} $$-deformed CFTs

“…as the function of the continuation parameter t. Substituting the coordinates (55) and (54) to (50), we find…”

“…As the check of this proposal, various aspects, such as the energy spectrum and the propagation speed, agree on both sides [44]. Some recent progresses about the holographic aspect of the deformations have been done in [45][46][47][48][49][50][51][52][53][54].…”

The correlation function of (1, 1) and (2, 2) supersymmetric theories with $$ T\overline{T} $$ deformation

“…Evidence for this non-CFT/non-AdS kind of duality including matching of the energy spectrum, holographic entanglement entropies, exact holographic renormalization and so on. For recent progress on holographic aspects of TT deformation see also [44][45][46][47][48][49][50][51][52][53][54][55].…”