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

S. Carlip
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Abstract

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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S. Carlip. 2001-03-30. Liouville Lost, Liouville Regained: Central Charge in a Dynamical Background. https://doi.org/10.1016/s0370-2693(01)00484-1

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