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Large D charged black hole as a Jackiw-Teitelboim gravity weakly coupled to the thermal graviton background

Oleg O. Novikov, Andrey A. Shavrin

TL;DR

The paper analyzes near-extremal black holes in the large-$D$ limit at finite temperature, showing that the near-horizon physics reduces to Jackiw-Teitelboim gravity on an $AdS_2$ patch. Although non-s-wave modes decouple at leading order, their collective tensor perturbations in a thermal bath produce a significant boundary source that couples to the 2D theory, necessitating a canonical quantization of these modes. Dimensional reduction yields a JT action with a constant-curvature bulk and a boundary term encoding tensor backreaction, for which the authors compute the thermal boundary correlator $\mathpzc{K}_\beta$. The results establish a controlled framework to study quantum effects in black hole dynamics at finite temperature, highlighting how a thermal bath can impact near-horizon JT gravity despite weak individual couplings.

Abstract

The s-wave approximation to the black hole dynamics has attracted considerable attention recently. However, the near-AdS2 geometry of the near-horizon region and decoupling of the non-s-wave modes usually requires a small-temperature limit. In this work we propose the new limit based on the large number of dimensions in which the temperature remains finite, but the s-wave sector may be described by Jackiw-Teitelboim gravity interacting with other modes with vanishingly small coupling. However, we demonstrate that the thermal bath of the tensor modes with non-zero angular momenta collectively produces a significant impact on the two-dimensional theory.

Large D charged black hole as a Jackiw-Teitelboim gravity weakly coupled to the thermal graviton background

TL;DR

The paper analyzes near-extremal black holes in the large- limit at finite temperature, showing that the near-horizon physics reduces to Jackiw-Teitelboim gravity on an patch. Although non-s-wave modes decouple at leading order, their collective tensor perturbations in a thermal bath produce a significant boundary source that couples to the 2D theory, necessitating a canonical quantization of these modes. Dimensional reduction yields a JT action with a constant-curvature bulk and a boundary term encoding tensor backreaction, for which the authors compute the thermal boundary correlator . The results establish a controlled framework to study quantum effects in black hole dynamics at finite temperature, highlighting how a thermal bath can impact near-horizon JT gravity despite weak individual couplings.

Abstract

The s-wave approximation to the black hole dynamics has attracted considerable attention recently. However, the near-AdS2 geometry of the near-horizon region and decoupling of the non-s-wave modes usually requires a small-temperature limit. In this work we propose the new limit based on the large number of dimensions in which the temperature remains finite, but the s-wave sector may be described by Jackiw-Teitelboim gravity interacting with other modes with vanishingly small coupling. However, we demonstrate that the thermal bath of the tensor modes with non-zero angular momenta collectively produces a significant impact on the two-dimensional theory.
Paper Structure (7 sections, 71 equations, 1 figure)

This paper contains 7 sections, 71 equations, 1 figure.

Table of Contents

  1. Introduction
  2. Near-extremal Reissner-Nordström solution in large D limit
  3. Dimensional reduction in s-wave approximation
  4. Tensor corrections beyond s-wave approximation
  5. Canonical quantization in thermal bath
  6. Canonical quantization of the correlation function
  7. Asymptotic solution computation

Figures (1)

  • Figure 1: The potential for the tensor modes at large $D$ and the location of the near and far zone