Where are the BTZ Black Hole Degrees of Freedom?

Abstract

Previous derivations of the BTZ black hole entropy from a dual conformal description place the degrees of freedom at spatial infinity. Here it is shown for the non-rotating case that a dual conformal description exists at any location around the black hole, a result that has a strong physical appeal considering that in 2+1 dimensions there are no propagating degrees of freedom in the classical theory. Two copies of the central charge of $3\ell /2G$ are recovered, and the microcanonical Cardy formula yields the correct Bekenstein-Hawking entropy.

9 pages, 1 figure; reference added, minor changes

References in corpus (2)

• Effective Conformal Descriptions of Black Hole Entropy
• Liouville theory beyond the cosmological horizon

Cited by in corpus (3)

• Symplectic and Killing Symmetries of AdS${}_3$ Gravity: Holographic vs Boundary Gravitons
• On 3d Bulk Geometry of Virasoro Coadjoint Orbits: Orbit invariant charges and Virasoro hair on locally AdS3 geometries
• Where are the BTZ Black Hole Degrees of Freedom? The Rotating Case