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Near horizon dynamics of three dimensional black holes

by Daniel Grumiller, Wout Merbis

Submission summary

As Contributors: Daniel Grumiller
Arxiv Link:
Date submitted: 2019-07-10
Submitted by: Grumiller, Daniel
Submitted to: SciPost Physics
Domain(s): Theoretical
Subject area: High-Energy Physics - Theory


We perform the Hamiltonian reduction of three dimensional Einstein gravity with negative cosmological constant under constraints imposed by near horizon boundary conditions. The theory reduces to a Floreanini-Jackiw type scalar field theory on the horizon, where the scalar zero modes capture the global black hole charges. The near horizon Hamiltonian is a total derivative term, which explains the softness of all oscillator modes of the scalar field. We find also a (Korteweg-de Vries) hierarchy of modified boundary conditions that we use to lift the degeneracy of the soft hair excitations on the horizon.

Current status:
Editor-in-charge assigned

Submission & Refereeing History

Submission 1906.10694v2 on 10 July 2019

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