Degeneracy of Decadent Dyons

Abstract

A quarter-BPS dyon in $\mathcal{N}=4$ super Yang-Mills theory is generically `decadent' in that it is stable only in some regions of the moduli space and decays on submanifolds in the moduli space. Using this fact, and from the degeneracy of the system close to the decay, a new derivation for the degeneracy of such dyons is given. The degeneracy obtained from these very simple physical considerations is in precise agreement with the results obtained from index computations in all known cases. Similar considerations apply to dyons in $\mathcal{N}=2$ gauge theories. The relation between the $\mathcal{N}=4$ field theory dyons and those counted by the Igusa cusp form in toroidally compactified heterotic string is elucidated.

Some typos corrected and references added

References in corpus (19)

• New Connections Between 4D and 5D Black Holes
• CHL Dyons and Statistical Entropy Function from D1-D5 System
• Walls of Marginal Stability and Dyon Spectrum in N=4 Supersymmetric String Theories
• Comments on the Spectrum of CHL Dyons
• Dyon Spectrum in CHL Models
• Product Representation of Dyon Partition Function in CHL Models
• Dying Dyons Don't Count
• Counting Dyons in N=8 String Theory
• Dyon Spectrum in N=4 Supersymmetric Type II String Theories
• Spectrum of Dyons and Black Holes in CHL orbifolds using Borcherds Lift
• Dyon Spectrum in Generic N=4 Supersymmetric Z_N Orbifolds
• Spectrum of CHL Dyons from Genus-Two Partition Function
• Re-Recounting Dyons in N=4 String Theory
• Generalities of Quarter BPS Dyon Partition Function and Dyons of Torsion Two
• Duality Orbits, Dyon Spectrum and Gauge Theory Limit of Heterotic String Theory on T^6
• Adding Charges to N=4 Dyons
• Three String Junction and N=4 Dyon Spectrum
• On the internal structure of dyons in $\mathcal{N}=4$ super Yang-Mills theories
• String networks and supersheets

Cited by in corpus (13)

• Partition Functions of Torsion >1 Dyons in Heterotic String Theory on T^6
• Black Hole Microstate Counting and its Macroscopic Counterpart
• Generalities of Quarter BPS Dyon Partition Function and Dyons of Torsion Two
• K3 Surfaces, N=4 Dyons, and the Mathieu Group M24
• Counting all dyons in N =4 string theory
• No entropy enigmas for N=4 dyons
• A Twist in the Dyon Partition Function
• Negative discriminant states in N=4 supersymmetric string theories
• Perturbative tests of non-perturbative counting
• BPS Spectrum, Indices and Wall Crossing in N=4 Supersymmetric Yang-Mills Theories
• Arithmetic of decay walls through continued fractions: a new exact dyon counting solution in $\mathcal{N}=4$ CHL models
• New Perspectives on Attractor Flows and Trees from CFT
• M5-brane prongs, string soliton bound states and wall-crossing