1/4 BPS String Junctions and $N^3$ Problem in 6-dim (2,0) Superconformal Theories

Abstract

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 BPS objects, which are made of waves on selfdual strings and junctions of selfdual strings and show that for all cases the number matches exactly one third of the anomaly constant $c_G=d_G{h}_G$ which is the product of dimension $d_G$ and dual Coxeter number $h_G$. This suggests the long sought after $N^3$ degrees of freedom are these 1/4 BPS objects at least in the Coulomb phase.

13 pages, 8 figures, jhep-style, references added

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Cited by in corpus (17)

• On instantons as Kaluza-Klein modes of M5-branes
• Non-abelian Action for Multiple Five-Branes with Self-Dual Tensors
• (2,0) Supersymmetry and the Light-Cone Description of M5-branes
• Non-Abelian Tensor Towers and (2,0) Superconformal Theories
• $N^3$ entropy of M5 branes from dielectric effect
• The general M5-brane superconformal index
• Wilson loops in Five-Dimensional Super-Yang-Mills
• Higher laminations, webs and N=2 line operators
• Instanton Partons in 5-dim SU(N) Gauge Theory
• 5D Yang-Mills instantons from ABJM Monopoles
• Non-abelian Self-Dual String and M2-M5 Branes Intersection in Supergravity
• Near-Extremal Black Branes with n*3 Entropy Growth
• Cardy Limits of 6d Superconformal Theories
• A Lagrangian for self-dual strings
• Hopf-Wess-Zumino term in the effective action of the 6d, (2, 0) field theory revisted
• Multiple M-branes and 3-algebras
• Multicharge Superstrings