Dyon Death Eaters

Abstract

We study general two-body decays of primitive and non-primitive 1/4-BPS dyons in four-dimensional type IIB string compactifications. We find a ``master equation'' for marginal stability that generalises the curve found by Sen for half-BPS decay, and analyse this equation in a variety of cases including decays to 1/4-BPS products. For half-BPS decays, an interesting and useful relation is exhibited between walls of marginal stability and the mathematics of Farey sequences and Ford circles. We exhibit an example in which two curves of marginal stability intersect in the interior of moduli space.

24 pages, 1 figure, v2: section on non-primitive dyons slightly modified and expanded, few other small changes

References in corpus (6)

• CHL Dyons and Statistical Entropy Function from D1-D5 System
• Walls of Marginal Stability and Dyon Spectrum in N=4 Supersymmetric String Theories
• Product Representation of Dyon Partition Function in CHL Models
• Dyon Spectrum in N=4 Supersymmetric Type II String Theories
• Dyon Spectrum in Generic N=4 Supersymmetric Z_N Orbifolds
• Adding Charges to N=4 Dyons

Cited by in corpus (15)

• Partition Functions of Torsion >1 Dyons in Heterotic String Theory on T^6
• BKM Lie superalgebras from dyon spectra in Z_N-CHL orbifolds for composite N
• Generalities of Quarter BPS Dyon Partition Function and Dyons of Torsion Two
• Black Hole Microstate Counting and its Macroscopic Counterpart
• How Do Black Holes Predict the Sign of the Fourier Coefficients of Siegel Modular Forms?
• S-duality Action on Discrete T-duality Invariants
• Generalized Kac-Moody Algebras from CHL dyons
• On the dyon partition function in N=2 theories
• Genus Two Surface and Quarter BPS Dyons: The Contour Prescription
• On walls of marginal stability in N=2 string theories
• Three String Junction and N=4 Dyon Spectrum
• Deconstructing the D0-D6 system
• On the internal structure of dyons in $\mathcal{N}=4$ super Yang-Mills theories
• BKM Lie superalgebra for the Z_5 orbifolded CHL string
• A Geometric Derivation of the Dyon Wall-Crossing Group