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.
Dyon Spectrum in N=4 Supersymmetric Type II String Theories
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abstract
We compute the spectrum of quarter BPS dyons in freely acting Z_2 and Z_3 orbifolds of type II string theory compactified on a six dimensional torus. For large charges the result for statistical entropy computed from the degeneracy formula agrees with the corresponding black hole entropy to first non-leading order after taking into account corrections due to the curvature squared terms in the effective action. The result is significant since in these theories the entropy of a small black hole, computed using the curvature squared corrections to the effective action, fails to reproduce the statistical entropy associated with elementary string 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.