1/4 BPS string junctions and N3 problem in 6-dimensional (2,0) superconformal theories

We explore 1/4-BPS objects in the Coulomb phase of the ADE-type 6-dim (2,0) superconformal theories. By using the previous work on the junctions of strings in 5-dim gauge theories and 6-dim superconformal theories, we count the number of 1/4-PS objects, which are made of waves on self-dual strings and junctions of self-dual strings, and show that for all cases the number matches exactly one-third of the anomaly constant cG dGhG which is the product of dimension dG and dual Coxeter number hG. This suggests the long sought after N-3 degrees of freedom are these 1/4-BPS objects at least in the Coulomb phase.