A Correspondence Principle for Black Holes and Strings

Abstract

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.

24 pages, one typo corrected

References in corpus (2)

• Near-extremal black hole entropy and fluctuating 3-branes
• Black p-branes and their Vertical Dimensional Reduction

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