Dynamics of black holes in Jackiw-Teitelboim gravity

TL;DR

This paper derives a comprehensive method for calculating boundary operator correlators in black hole states within Jackiw-Teitelboim gravity, revealing how gravitational states influence matter interactions in AdS2.

Contribution

It introduces a novel approach using the particle-with-spin Hilbert space to compute correlators in JT gravity, connecting boundary amplitudes with bulk interactions and Wilson polynomials.

Findings

Derived general correlator expressions in JT gravity

Linked boundary amplitudes to bulk matter interactions

Provided a framework for analyzing black hole states in AdS2

Abstract

We present a general solution for correlators of external boundary operators in black hole states of Jackiw-Teitelboim gravity. We use the Hilbert space constructed using the particle-with-spin interpretation of the Jackiw-Teitelboim action, which consists of wavefunctions defined on Lorentzian $AdS_2$. The density of states of the gravitational system appears in the amplitude for a boundary particle to emit and reabsorb matter. Up to self-interactions of matter, a general correlator can be reduced in an energy basis to a product of amplitudes for interactions and Wilson polynomials mapping between boundary and bulk interactions.