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

TL;DR

This paper explores the dynamics of large D charged black holes using a novel limit where the near-horizon geometry is described by Jackiw-Teitelboim gravity coupled weakly to a thermal graviton background, revealing significant effects from tensor modes.

Contribution

It introduces a new large D limit allowing finite temperature analysis of s-wave black hole dynamics with weak coupling to non-s-wave modes.

Findings

Tensor modes significantly influence the two-dimensional effective theory.

The proposed limit extends the understanding of near-horizon geometries at finite temperature.

Weak coupling to non-s-wave modes is maintained despite thermal effects.

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.