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arXiv · hep-th/9903248

Virasoro Orbits, AdS_3 Quantum Gravity and Entropy

J. Navarro-Salas·P. Navarro
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Abstract

We analyse the canonical structure of AdS_3 gravity in terms of the coadjoint orbits of the Virasoro group. There is one subset of orbits, associated to BTZ black hole solutions, that can be described by a pair of chiral free fields with a background charge. There is also a second subset of orbits, associated to point-particle solutions, that are described by two pairs of chiral free fields obeying a constraint. All these orbits admit Kähler quantization and generate a Hilbert space which, despite of having $Δ_0(\barΔ_0)=0$, does not provide the right degeneracy to account for the Bekenstein-Hawking entropy due to the breakdown of modular invariance. Therefore, additional degrees of freedom, reestablishing modular invariance, are necessarily required to properly account for the black hole entropy.

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J. Navarro-Salas, P. Navarro. 1999-03-31. Virasoro Orbits, AdS_3 Quantum Gravity and Entropy. https://doi.org/10.1088/1126-6708%2F1999%2F05%2F009

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