Two-dimensional quantum black holes, branes in Banados-Teitelboim-Zanelli spacetime, and holography

Journal Article · Tue Aug 15 00:00:00 EDT 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.74.044012· OSTI ID:20870990

Germani, Cristiano; Procopio, Giovanni Paolo ^[1]

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1. D.A.M.T.P., Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA (United Kingdom)

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 nonzero tension 1-brane embedded in a three-dimensional Banados-Teitelboim-Zanelli (BTZ) black hole. We show that the two geometries coincide and we extract, using holographic relations, information about the conformal field theory (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.

• OSTI ID: 20870990
• Journal Information: Physical Review. D, Particles Fields, Vol. 74, Issue 4; Other Information: DOI: 10.1103/PhysRevD.74.044012; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
CONFORMAL INVARIANCE
COSMOLOGY
EINSTEIN FIELD EQUATIONS
GEOMETRY
HOLOGRAPHY
MATHEMATICAL SOLUTIONS
QUANTUM FIELD THEORY
SEMICLASSICAL APPROXIMATION
SPACE-TIME
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS
VACUUM STATES