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

Abstract

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

Keywords

• Black Holes in String Theory
• Extended Supersymmetry
• String Duality
• Superstrings and Heterotic Strings