Rare Decay Modes of Quarter BPS Dyons

Abstract

The degeneracy of quarter BPS dyons in N=4 supersymmetric string theories is known to jump across walls of marginal stability on which a quarter BPS dyon can decay into a pair of half BPS dyons. We show that as long as the electric and magnetic charges of the original dyon are primitive elements of the charge lattice, the subspaces of the moduli space on which a quarter BPS dyon becomes marginally unstable against decay into a pair of quarter BPS dyons or a half BPS dyon and a quarter BPS dyon are of codimension two or more. As a result any pair of generic points in the moduli space can be connected by a path avoiding these subspaces and there is no jump in the spectrum associated with these subspaces.

LaTeX file, 9 pages; v2: a minor logical error corrected with no change in the results

References in corpus (4)

• Comments on the Spectrum of CHL Dyons
• Two Centered Black Holes and N=4 Dyon Spectrum
• Re-Recounting Dyons in N=4 String Theory
• Adding Charges to N=4 Dyons

Cited by in corpus (12)

• N=8 Dyon Partition Function and Walls of Marginal Stability
• Partition Functions of Torsion >1 Dyons in Heterotic String Theory on T^6
• Generalities of Quarter BPS Dyon Partition Function and Dyons of Torsion Two
• S-duality Action on Discrete T-duality Invariants
• On the dyon partition function in N=2 theories
• Generalized Kac-Moody Algebras from CHL dyons
• Genus Two Surface and Quarter BPS Dyons: The Contour Prescription
• Three String Junction and N=4 Dyon Spectrum
• Kinematical Analogy for Marginal Dyon Decay
• Constraints on "rare" dyon decays
• On the internal structure of dyons in $\mathcal{N}=4$ super Yang-Mills theories
• The Spectra of Supersymmetric States in String Theory