Constructs generating function for single-centered black hole index in Z_N CHL models by subtracting two-centered contributions from dyon index using bound state metamorphosis and proves convergence for N=2,3.
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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Generating Function of single-centered Black Hole Index in CHL Models
Constructs generating function for single-centered black hole index in Z_N CHL models by subtracting two-centered contributions from dyon index using bound state metamorphosis and proves convergence for N=2,3.