Counting Dyons in N=4 String Theory

Abstract

We present a microscopic index formula for the degeneracy of dyons in four-dimensional N=4 string theory. This counting formula is manifestly symmetric under the duality group, and its asymptotic growth reproduces the macroscopic Bekenstein-Hawking entropy. We give a derivation of this result in terms of the type II five-brane compactified on K3, by assuming that its fluctuations are described by a closed string theory on its world-volume. We find that the degeneracies are given in terms of the denominator of a generalized super Kac-Moody algebra. We also discuss the correspondence of this result with the counting of D-brane states.

22 pages, latex, one epsf-figure

References in corpus (8)

• Microscopic Origin of the Bekenstein-Hawking Entropy
• D-brane Approach to Black Hole Quantum Mechanics
• Counting States of Near-Extremal Black Holes
• Entropy of Near-Extremal Black p-branes
• Statistical Entropy of Four-Dimensional Extremal Black Holes
• Entropy of 4D Extremal Black Holes
• Statistical Entropy of Near Extremal Five-branes
• $N=2$ heterotic string threshold correction, $K3$ surface and generalized Kac-Moody superalgebra

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