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arXiv · hep-th/0605068

Two-dimensional Quantum Black Holes, Branes in BTZ and Holography

Cristiano Germani·Giovanni Paolo Procopio
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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.

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Cristiano Germani, Giovanni Paolo Procopio. 2006-07-25. Two-dimensional Quantum Black Holes, Branes in BTZ and Holography. https://doi.org/10.1103/physrevd.74.044012

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