Counting Dyons in N=4 String Theory
High Energy Physics - Theory
2008-11-26 v1
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.
Cite
@article{arxiv.hep-th/9607026,
title = {Counting Dyons in N=4 String Theory},
author = {R. Dijkgraaf and E. Verlinde and H. Verlinde},
journal= {arXiv preprint arXiv:hep-th/9607026},
year = {2008}
}
Comments
22 pages, latex, one epsf-figure