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      Counting Dyons in N=4 String Theory

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          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.

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          Author and article information

          Journal
          03 July 1996
          Article
          10.1016/S0550-3213(96)00640-2
          hep-th/9607026
          719ef8e8-893f-4ca3-90bf-57b4ae7b38e3
          History
          Custom metadata
          CERN-TH/96-170
          Nucl.Phys.B484:543-561,1997
          22 pages, latex, one epsf-figure
          hep-th

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