Arithmetic of decay walls through continued fractions: a new exact dyon counting solution in $\mathcal{N}=4$ CHL models

Abstract

We use continued fractions to perform a systematic and explicit characterization of the decays of two-centred dyonic black holes in $4D$ $\mathcal{N}=4$ heterotic ${\mathbb{Z}}_N$ CHL models. Thereby we give a new exact solution for the problem of counting decadent dyons in these models.

32 pages, 4 figures

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Cited by in corpus (3)

• The gravitational path integral for $N=4$ BPS black holes from black hole microstate counting
• Rademacher expansion of a Siegel modular form for $\mathcal{N}=4$ counting
• Black Hole Hair Removal For N=4 CHL Models