SciPost Submission Page
Near horizon dynamics of three dimensional black holes
by Daniel Grumiller, Wout Merbis
|As Contributors:||Daniel Grumiller|
|Submitted by:||Grumiller, Daniel|
|Submitted to:||SciPost Physics|
|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.