Loop-corrected Entropy of Near-extremal Dilatonic $p$-branes

Abstract

It has recently been shown that for certain classical non-dilatonic $p$-branes, the entropy and temperature satisfy the ideal-gas relation $S\sim T^p$ in the near-extremal regime. We extend these results to cases where the dilaton is non-vanishing, but nevertheless remains finite on the horizon in the extremal limit, showing that the ideal-gas relation is again satisfied. At the classical level, however, this relation does break down if the dilaton diverges on the horizon. We argue that such a divergence indicates the breakdown of the validity of the classical approximation, and that by taking string and worldsheet loop corrections into account, the validity of the entropy/temperature relation may be extended to include these cases. This opens up the possibility of giving a microscopic interpretation of the entropy for all near-extremal $p$-branes.

Latex, 12 pages, no figures, minor changes

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• Bound States of Black Holes and Other $P$-Branes
• Intersecting M-branes and bound states
• Dipole Moments of Black Holes and String States
• Statistical entropy of near-extremal and fundamental black p-branes
• Dynamics of D-brane Black Holes