Thermodynamics of Two-Dimensional Black Holes

Nappi, Chiara R.; Pasquinucci, Andrea

doi:10.1142/s021773239200272x

Cited by 78 publications

(125 citation statements)

References 12 publications

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“…Now, the entropy of the fivedimensional black hole (6) in the extremal limit is S = 2π 2 r 2 1 r 5 /4G 5 . Substituting the corresponding two-dimensional quantities into it, in particular G 5 = 2π 2 r 3 5 G 2 , we again find agreement with the formula (20) derived in [25].…”

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confidence: 82%

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Statistical entropy of charged two-dimensional black holes

Teo

1998

Physics Letters B

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The statistical entropy of a five-dimensional black hole in Type II string theory was recently derived by showing that it is U-dual to the three-dimensional Bañados-Teitelboim-Zanelli black hole, and using Carlip's method to count the microstates of the latter. This is valid even for the non-extremal case, unlike the derivation which relies on D-brane techniques.In this letter, I shall exploit the U-duality that exists between the five-dimensional black hole and the two-dimensional charged black hole of McGuigan, Nappi and Yost, to microscopically compute the entropy of the latter. It is shown that this result agrees with previous calculations using thermodynamic arguments.

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confidence: 82%

“…But because the Bekenstein-Hawking formula cannot be straightforwardly applied in two dimensions, a different method has to be used to calculate the entropy of these black holes. A thermodynamic approach using boundary terms of the action was adopted in [24,25].…”

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confidence: 99%

Statistical entropy of charged two-dimensional black holes

Teo

1998

Physics Letters B

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“…In each case first a simple and then a more elaborate derivation will be provided or at least sketched. A comparison with previous results [2,12,13,29,34,35] will be postponed until section 5.…”

Section: Thermodynamical Propertiesmentioning

confidence: 92%

An action for the exact string black hole

Grumiller

2005

J. High Energy Phys.

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A local action is constructed describing the exact string black hole discovered by Dijkgraaf, Verlinde and Verlinde in 1992. It turns out to be a special 2D Maxwell-dilaton gravity theory, linear in curvature and field strength. Two constants of motion exist: mass M ≥ 1, determined by the level k, and U(1)-charge Q ≥ 0, determined by the value of the dilaton at the origin. ADM mass, Hawking temperature T H ∝ 1 − 1/M and Bekenstein-Hawking entropy are derived and studied in detail. Winding/momentum mode duality implies the existence of a similar action, arising from a branch ambiguity, which describes the exact string naked singularity. In the strong coupling limit the solution dual to AdS 2 is found to be the 5D Schwarzschild black hole. Some applications to black hole thermodynamics and 2D string theory are discussed and generalizations -supersymmetric extension, coupling to matter and critical collapse, quantization -are pointed out.

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“…Some thermodynamical properties of the 2-d CBH (2.10) were studied semi-classically in [42,7]. The entropy of the CBH is 13…”

Section: Entropy and Reflectionmentioning

confidence: 99%

Strings in a 2-d Extremal Black Hole

Giveon

Sever

2005

J. High Energy Phys.

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String theory on 2-d charged black holes corresponding to SL(2)×U(1) L U(1)exact asymmetric quotient CFTs are investigated. These backgrounds can be embedded, in particular, in a two dimensional heterotic string. In the extremal case, the quotient CFT description captures the near horizon physics, and is equivalent to strings in AdS 2 with a gauge field. Such string vacua possess an infinite space-time Virasoro symmetry, and hence enhancement of global space-time Lie symmetries to affine symmetries, in agreement with the conjectured AdS 2 /CF T 1 correspondence. We argue that the entropy of these 2-d black holes in string theory is compatible with semi-classical results, and show that in perturbative computations part of an incoming flux is absorbed by the black hole. Moreover, on the way we find evidence that the 2-d heterotic string is closely related to the N = (2, 1) string, and conjecture that they are dual [1]. 07/04

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Thermodynamics of Two-Dimensional Black Holes

Abstract: We explore the thermodynamics of a general class of two-dimensional dilatonic black holes. A simple prescription is given that allows us to compute the mass, entropy and thermodynamic potentials, with results in agreement with those obtained by other methods, when available.

Cited by 78 publications

References 12 publications

Statistical entropy of charged two-dimensional black holes

Statistical entropy of charged two-dimensional black holes

An action for the exact string black hole

Strings in a 2-d Extremal Black Hole

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