The near horizon dynamics in three-dimensional Einstein gravity

TL;DR

This paper investigates the near-horizon dynamics of three-dimensional Einstein gravity with Rindler boundary conditions in flat and AdS spacetimes, using boundary quantization and symmetry analysis.

Contribution

It introduces a novel approach to analyze near-horizon dynamics via angular quantization and Hamiltonian reduction to boundary Wess-Zumino-Witten theory.

Findings

Derived boundary actions as functionals of asymptotic symmetry group elements.

Connected near-horizon dynamics to boundary conformal field theories.

Provided insights into the structure of 3D gravity with Rindler boundaries.

Abstract

We study the asymptotic dynamics of 3D gravity with Rindler boundary conditions both in flat and AdS spacetimes. We do this by using the angular quantization and Hamiltonian reduction of the action to the Wess-Zumino-Witten theory on the boundary. We then rewrite the boundary action as a functional of elements of the asymptotic symmetry group.