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

Understand

We use the low energy effective $U(1)^r$ action on the Coulomb branch of ${\cal N}=4$ 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.