Aspects of AdS2 quantum gravity and the Karch-Randall braneworld

We attempt to understand the CFT1 structure underlying (2+1)D gravity in flat spacetime via dimensional reduction. We observe that under superrotation, the hyperbolic (and dS2) slices of flat spacetime transform to asymptotically (A)dS2 slices. We consider a wedge region bounded by two such surfaces as End-of-the-World branes and employ Wedge holography to perform holographic reduction. We show that once we consider fluctuating branes, the localised theory on the branes is Jackiw-Teitelboim (JT) theory. Finally, using the dual description of JT, we derive an 1D Schwarzian theory at the spatial slice of null infinity. In this dual Celestial (nearly) CFT, the superrotation mode of 3D plays the role of the Schwarzian derivative of the boundary time reparametrization mode.

Section: Dimensional Reduction Of Einstein-hilbert Actionmentioning

confidence: 99%

Section: Jhep01(2023)138mentioning

confidence: 99%

See 1 more Smart Citation

JT gravity from holographic reduction of 3D asymptotically flat spacetime

Bhattacharjee

Saha

2023

“…Besides, the effective theory on the brane is ghost-free higher derivative gravity and behaves like Einstein gravity in many aspects [49]. See also [50][51][52][53][54][55][56][57][58] for some recent works on wedge/cone holography and AdS/BCFT.…”

Section: Jhep11(2022)008mentioning

confidence: 99%

Island on codimension-two branes in AdS/dCFT

Miao

2022

The previous studies of the island and double holography mainly focus on codimension-one branes. This paper explores the island on the codimension-two brane in AdS/dCFT. The codimension-two brane is closely related to conical singularity, which is very different from the codimension-one brane. We analyze the mass spectrum of gravitons on the codimension-two brane and find that the larger the brane tension is, the smaller the gravitational mass is. The massless mode is forbidden by either the boundary or normalization conditions. We prove that the first massive gravitational mode is located on the codimension-two brane; the larger the tension, the better the localization. It is similar to the case of codimension-one brane and builds an excellent physical foundation for the study of black hole evolution on codimension-two branes. We find that the Page curve of eternal black holes can be recovered due to the island ending on the codimension-two brane. The new feature is that the extremal surface passing the horizon cannot be defined after some finite time in the no-island phase. Fortunately, this unusual situation does not affect the Page curve since it happens after Page time.

“…The basic duality relations and their consistency of AdS/BCFT have also been analyzed in [92][93][94][95][96] and string theory realizations have also been studied in [97][98][99][100][101][102][103][104][105][106]. The AdS/BCFT correspondence was generalized in [107][108][109][110][111][112] to construct gravity duals with higher codimensions, named wedge holography.…”

Section: Jhep03(2023)105 1 Introductionmentioning

confidence: 99%

AdS/BCFT with brane-localized scalar field

Kanda

Sato

Suzuki

et al. 2023

In this paper, we study the dynamics of end-of-the-world (EOW) branes in AdS with scalar fields localized on the branes as a new class of gravity duals of CFTs on manifolds with boundaries. This allows us to construct explicit solutions dual to boundary RG flows. We also obtain a variety of annulus-like or cone-like shaped EOW branes, which are not possible without the scalar field. We also present a gravity dual of a CFT on a strip with two different boundary conditions due to the scalar potential, where we find the confinement/deconfinement-like transition as a function of temperature and the scalar potential. Finally, we point out that this phase transition is closely related to the measurement-induced phase transition, via a Wick rotation.