Charged black holes in two-dimensional string theory

The area law of Bekenstein–Hawking entropy of the black hole suggests that the black hole should have a lower-dimensional holographic description. It has been found recently that a large class of rotating and charged black holes could be holographically described a two-dimensional (2D) conformal field theory (CFT). We show that the universal information of the dual CFT, including the central charges and the temperatures, is fully encoded in the thermodynamics laws of both outer and inner horizons. These laws, characterizing how the black hole responds under the perturbation, allows us to read different dual pictures with respect to different kinds of perturbations. The remarkable effectiveness of this thermodynamics method suggest that the inner horizon could play a key role in the study of holographic description of the black hole.

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ENTROPY OF EXTREMAL DYONIC BLACK HOLES

Modern Physics Letters A ◽

10.1142/s0217732396002903 ◽

1996 ◽

Vol 11 (37) ◽

pp. 2933-2939 ◽

Cited By ~ 3

Author(s):

A. GHOSH ◽

P. MITRA

Keyword(s):

Black Holes ◽

Black Hole ◽

String Theory ◽

Extremal Black Hole ◽

Classical Action ◽

Charged Black Holes ◽

Thermodynamic Entropy ◽

Black Hole Solutions

For extremal charged black holes, the thermodynamic entropy is proportional to the mass or charges but not proportional to the area. This is demonstrated here for dyonic extremal black hole solutions of string theory. It is pointed out that these solutions have zero classical action although the area is nonzero. By combining the general form of the entropy allowed by thermodynamics with recent observations in the literature it is possible to fix the entropy almost completely.

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Erratum: Charged black holes in string theory

Physical Review D ◽

10.1103/physrevd.45.3888 ◽

1992 ◽

Vol 45 (10) ◽

pp. 3888-3888 ◽

Cited By ~ 220

Author(s):

David Garfinkle ◽

Gary T. Horowitz ◽

Andrew Strominger

Keyword(s):

Black Holes ◽

String Theory ◽

Charged Black Holes

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THE CARDY–VERLINDE FORMULA AND ASYMPTOTICALLY FLAT CHARGED BLACK HOLES

Modern Physics Letters A ◽

10.1142/s0217732301004522 ◽

2001 ◽

Vol 16 (19) ◽

pp. 1263-1268 ◽

Cited By ~ 22

Author(s):

DONAM YOUM

Keyword(s):

Black Holes ◽

Black Hole ◽

Casimir Effect ◽

Higher Dimensions ◽

Thermodynamic Quantities ◽

Two Dimensional ◽

Temperature Relation ◽

Asymptotically Flat ◽

Charged Black Holes ◽

Verlinde Formula

We show that the modified Cardy–Verlinde formula without the Casimir effect term is satisfied by asymptotically flat charged black holes in arbitrary dimensions. Thermodynamic quantities of the charged black holes are shown to satisfy the energy-temperature relation of a two-dimensional CFT, which supports the claim in our previous work (Phys. Rev.D61, 044013, hep-th/9910244) that thermodynamics of charged black holes in higher dimensions can be effectively described by two-dimensional theories. We also check the Cardy formula for the two-dimensional black hole compactified from a dilatonic charged black hole in higher dimensions.

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