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      Microscopic derivation of the Bekenstein-Hawking entropy formula for non-extremal black holes

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          Abstract

          We derive the Bekenstein-Hawking entropy formula for four and five dimensional non-supersymmetric black holes (which include the Schwarzchild ones) by counting microscopic states. This is achieved by first showing that these black holes are U-dual to the three-dimensional black hole of Banados-Teitelboim-Zanelli and then counting microscopic states of the latter following Carlip's approach. Higher than five dimensional black holes are also considered. We discuss the connection of our approach to the D-brane picture.

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          Vacuum interpolation in supergravity via super p-branes

          We show that many of the recently proposed supersymmetric p-brane solutions of d=10 and d=11 supergravity have the property that they interpolate between Minkowski spacetime and a compactified spacetime, both being supersymmetric supergravity vacua. Our results imply that the effective worldvolume action for small fluctuations of the super p-brane is a supersingleton field theory for \((adS)_{p+2}\), as has been often conjectured in the past.
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            On the Nonperturbative Consistency of \(d=2\) String Theory

            An infinite number of distinct \(d=1\) matrix models reproduce the perturbation theory of \(d=2\) string theory. Due to constraints of causality, however, we argue that none of the existing constructions gives a consistent nonperturbative definition of the \(d=2\) string.
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              A Correspondence Principle for Black Holes and Strings

              For most black holes in string theory, the Schwarzschild radius in string units decreases as the string coupling is reduced. We formulate a correspondence principle, which states that (i) when the size of the horizon drops below the size of a string, the typical black hole state becomes a typical state of strings and D-branes with the same charges, and (ii) the mass does not change abruptly during the transition. This provides a statistical interpretation of black hole entropy. This approach does not yield the numerical coefficient, but gives the correct dependence on mass and charge in a wide range of cases, including neutral black holes.
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                Author and article information

                Journal
                10.1016/S0550-3213(98)00023-6
                hep-th/9711138

                General relativity & Quantum cosmology,High energy & Particle physics
                General relativity & Quantum cosmology, High energy & Particle physics

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