Liouville Lost, Liouville Regained: Central Charge in a Dynamical Background

Details Liouville Lost, Liouville Regained: Central Charge in a Dynamical Background Liouville Lost, Liouville Regained: Central Charge in a Dynamical Background

2001-03-27

arxiv.org/abs/gr-qc/0103100v2

Phys.Lett.B508:168-172,2001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, LaTeX, no figures; reference added

Scientific paper

10.1016/S0370-2693(01)00484-1

Several recent approaches to black hole entropy obtain the density of states from the central charge of a Liouville theory. If Liouville theory is coupled to a dynamical spacetime background, however, the classical central charge vanishes. I show that the central charge can be restored by introducing appropriate constraints, which may be interpreted as fall-off conditions at a boundary such as a black hole horizon.

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