The Ising model as a window on quantum gravity with matter

TL;DR

This paper explores how the Ising model conformal field theory offers insights into 3D quantum gravity with matter, revealing unique dynamical features that challenge traditional black hole interpretations and suggest new ways to address the information paradox.

Contribution

It demonstrates the use of the Ising model CFT to study matter interactions in 3D quantum gravity and explains unusual dynamical signals through bulk matter properties and the non-fundamental nature of geometry.

Findings

Observation of a plateau, burst, and re-emergence in perturbation signals

Explanation of phenomena via bulk matter interactions with BTZ black holes

Implication for evading the black hole information paradox

Abstract

We argue that the Ising model CFT can be used to obtain some clear insights into 3D (quantum) gravity with matter. We review arguments for the existence of its holographic description, and concentrate on the time dependence of perturbations of the theory at high temperature, which would correspond to throwing matter into a black hole in the dual picture. Apart from an expected QNM-like exponential damping, we observe a plateau, a burst and a subsequent re-emergence of the whole signal, the latter being apparently at odds with a black hole interpretation. We provide an explanation of this phenomenon in terms of the properties of bulk matter fields interacting with the BTZ black hole and the fact that the geometry/metric is not fundamental but a derived quantity in the Chern-Simons formulation of 3D gravity. This allows for evading the black hole information paradox in the present context.