The Conformal Field Theory on the Horizon of BTZ Black Hole

Abstract

In three dimensional spacetime with negative cosmology constant, the general relativity can be written as two copies of SO$(2,1)$ Chern-Simons theory. On a manifold with boundary the Chern-Simons theory induces a conformal field theory--WZW theory on the boundary. In this paper, it is show that with suitable boundary condition for BTZ black hole, the WZW theory can reduce to a massless scalar field on the horizon.

7 pages

References in corpus (5)

• Three-Dimensional Gravity Revisited
• Noether current from the surface term of gravitational action, Virasoro algebra and horizon entropy
• Quantum Gravity in 2+1 Dimensions
• Horizon fluff, semi-classical black hole microstates - Log-corrections to BTZ entropy and black hole/particle correspondence
• The Entropy of Higher Dimensional Nonrotating Isolated Horizons from Loop Quantum Gravity

Cited by in corpus (6)

• Compact Chiral Boson Fields on the Horizon of BTZ Black Hole
• W-hairs of black holes in three dimensional spacetime
• The topological order of the space
• Topological entanglement entropy of the BTZ black hole
• Topological Order of Quantum Gravity in $Ad{S}_3$ Spacetime
• Hawking Radiation Is Pure