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Counting Dyons in N=4 String Theory

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arxiv hep-th/9607026 v1 pith:E4DXJGYA submitted 1996-07-03 hep-th

R. Dijkgraaf , E. Verlinde , H. Verlinde This is my paper · ORCID
classification hep-th
keywords countingstringtheorydyonsformularesulttermsalgebra
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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.

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Cited by 6 Pith papers

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