Holography and AdS 2 gravity with a dynamical aether

We find an effective action for gravitational interactions with scalars in AdS 3 to first order in G N at the conformal boundary. This action can be understood as an action for the Brown-Henneaux modes and is given by the square-root product of right and left moving Schwarzian derivatives for conformal transformations of the boundary. We thus reproduce the result λ L = 2π β for OTOC computed first in arXiv:1412.6087 for a Schwarzchild black hole in AdS 3 . Applying the same procedure to rotating BTZ we find the Lyapunov index to be λ L = 2π β + > 2π β where β + = β(1 − µ L ), with µ L = r − r + being the chemical potential for angular momentum. We thus comment on a possible modification to a part of the proof given in arXiv:1503.01409 to accommodate this result.

mentioning

confidence: 99%

BTZ dynamics and chaos

Poojary

2020

Extremal and near-extremal black holes and near-CFT1

Moitra

Trivedi

Vishal

2019

We study the behaviour of extremal and near-extremal black holes at low energies and low temperatures and find that it can be understood from the near-horizon AdS 2 region. Our analysis includes charged matter and also goes beyond the S-wave approximation. We find that the leading behaviour at low energies arises from a mode linked to time reparametrisations and from phase modes arising from gauge fields. At somewhat higher energies, additional modes arising from higher partial waves can also be cumulatively significant. These results can be applied quite generally to cases where an AdS 2 × S d near-horizon geometry arises, including black holes in asymptotically AdS and flat space-times. arXiv:1808.08239v3 [hep-th]

On the dynamics of near-extremal black holes

Nayak

Shukla

Soni

et al. 2018

189

256

We analyse the dynamics of near-extremal Reissner-Nordström black holes in asymptotically four-dimensional Anti de Sitter space (AdS 4 ). We work in the spherically symmetric approximation and study the thermodynamics and the response to a probe scalar field. We find that the behaviour of the system, at low energies and to leading order in our approximations, is well described by the Jackiw-Teitelboim (JT) model of gravity. In fact, this behaviour can be understood from symmetry considerations and arises due to the breaking of time reparametrisation invariance. The JT model has been analysed in considerable detail recently and related to the behaviour of the SYK model. Our results indicate that features in these models which arise from symmetry considerations alone are more general and present quite universally in near-extremal black holes.