Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-07-03
Nucl.Phys.B484:543-561,1997
Physics
High Energy Physics
High Energy Physics - Theory
22 pages, latex, one epsf-figure
Scientific paper
10.1016/S0550-3213(96)00640-2
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.
Dijkgraaf Robbert
Verlinde Erik
Verlinde Herman
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