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

TL;DR

This paper introduces a novel exact method using continued fractions to analyze decay processes of two-centered dyonic black holes in four-dimensional $ ext{N}=4$ CHL models, providing a new solution for counting decadent dyons.

Contribution

It presents a new exact solution for counting decadent dyons in $ ext{N}=4$ CHL models using continued fractions to analyze black hole decays.

Findings

Explicit characterization of dyon decay processes

New exact dyon counting solution in $ ext{N}=4$ CHL models

Systematic approach using continued fractions

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.