Liouville lost, Liouville regained: central charge in a dynamical background

2001/03/30 by S. Carlip, Steven Carlip · 4 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Boundary (topology) #Central charge #Charge (physics) #Classical mechanics #Cosmology and Gravitation Theories #Entropy (arrow of time) #Horizon #Liouville equation #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum electrodynamics #Quantum mechanics #Spacetime #gr-qc #hep-th

paper · pdf · doi:10.1016/s0370-2693(01)00484-1

published as Phys.Lett.B508:168-172,2001 · 8 pages, LaTeX, no figures; reference added

arxiv created 2001/03/30 · openalex publication_date 2001/05/01 · arxiv updated 2010/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Quantization of Gauge Systems
• Generalized Hamiltonian Dynamics

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