On the internal structure of dyons in $\mathcal{N}=4$ super Yang-Mills theories

Abstract

We use the low energy effective $U(1{)}^r$ action on the Coulomb branch of $\mathcal{N}=4$ super Yang-Mills theory to construct approximate field configurations for solitonic dyons in these theories, building on the brane prong description developed in hep-th/0101114. This dovetails closely with the corresponding description of these dyons as string webs stretched between D-branes in the transverse space. The resulting picture within these approximations shows the internal structure of these dyons (for fixed asymptotic charges) to be molecule-like, with multiple charge cores held together at equilibrium separations, which grow large near lines of marginal stability. Although these techniques do not yield a complete solution for the spatial structure (i.e. all core sizes and separations) of large charge multicenter dyons in high rank gauge theories, approximate configurations can be found in specific regions of moduli space, which become increasingly accurate near lines of marginal stability. We also discuss string webs with internal faces from this point of view.

arXiv commentLatex, 29 pgs, 5 eps figures; v2: typos fixed, minor clarifications on internal faces

References in corpus (38)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• The fuzzball proposal for black holes: an elementary review
• F-theory and Orientifolds
• Brane Dynamics From the Born-Infeld Action
• Black Hole Entropy Function, Attractors and Precision Counting of Microstates
• Supergravity flows and D-brane stability
• Quantum Quivers and Hall/Hole Halos
• Lectures on Superstring and M Theory Dualities
• String Network
• BPS Nature of 3-String Junctions
• Magnetic Monopole Dynamics, Supersymmetry, and Duality
• Three-Pronged Strings and 1/4 BPS States in N=4 Super-Yang-Mills Theory
• Walls of Marginal Stability and Dyon Spectrum in N=4 Supersymmetric String Theories
• Comments on the Spectrum of CHL Dyons
• Split attractor flows and the spectrum of BPS D-branes on the Quintic
• Dyons in N=4 Supersymmetric Theories and Three-Pronged Strings
• Dying Dyons Don't Count
• String Webs and 1/4 BPS Monopoles
• Two Centered Black Holes and N=4 Dyon Spectrum
• 3-String Junction and BPS Saturated Solutions in SU(3) Supersymmetric Yang-Mills Theory
• Re-Recounting Dyons in N=4 String Theory
• Counting Yang-Mills Dyons with Index Theorems
• Marginal Stability and the Metamorphosis of BPS States
• Finite energy Dirac-Born-Infeld monopoles and string junctions
• Low Energy Dynamics for 1/4 BPS Dyons
• Duality Orbits, Dyon Spectrum and Gauge Theory Limit of Heterotic String Theory on T^6
• String Network and 1/4 BPS States in N=4 SU(n) Supersymmetric Yang-Mills Theory
• Quantum 1/4 BPS Dyons
• String Webs from Field Theory
• Rare Decay Modes of Quarter BPS Dyons
• Moduli Space Dimensions of Multi-Pronged Strings
• Long Range Forces and Supersymmetric Bound States
• Comments on the Moduli Dynamics of 1/4 BPS Dyons
• Dyon Death Eaters
• Three String Junction and N=4 Dyon Spectrum
• On the Spatial Structure of Monopoles
• String Webs and the Decay of Supersymmetric Particles
• Zero-Mode Dynamics of String Webs

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• Dyon dynamics near marginal stability and non-BPS states
• M5-brane prongs, string soliton bound states and wall-crossing