Two-dimensional Quantum Black Holes, Branes in BTZ and Holography
arXiv:hep-th/0605068 · doi:10.1103/PhysRevD.74.044012
Abstract
We solve semiclassical Einstein equations in two dimensions with a massive source and we find a static, thermodynamically stable, quantum black hole solution in the Hartle-Hawking vacuum state. We then study the black hole geometry generated by a boundary mass sitting on a non-zero tension 1-brane embedded in a three-dimensional BTZ black hole. We show that the two geometries coincide and we extract, using holographic relations, information about the CFT living on the 1-brane. Finally, we show that the quantum black hole has the same temperature of the bulk BTZ, as expected from the holographic principle.
arXiv comment10 pages, 2 figures, RevTex, ``point particle of mass μ'' changed with ``massive boundary source'' for better clarity. Action in (50) written in Z_2 symmetric form. Appendix clarified. Minor corrections and references added. Version accepted for pubblication in PRD15 (2006)
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- Remnants in two-dimensional quantum gravity