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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeMay 17th 2018
   • PermaLink
   Author: Urs
   Format: MarkdownItexStarted some minimum. This configuration was an early source of speculation of higher structures in M-theory, since it generalizes the binary string junctions between D-branes that carry gauge fields to _something_ trinary. I left a brief remark on that. But for the moment what I wanted to mainly record is the remark that if one does accept the story of the [[M-theory lift of gauge enhancement on D6-branes]], in terms of [[M2-branes]] [[wrapped brane|wrapping]] [[2-spheres]] that touch along the shape of a [[Dynkin diagram]] [[blowup]] of an [[ADE-singularity]], then such triple membrane junctions must correspond to blowups of the [[dihedral group|dihedral]] [[ADE-singularities]] as well as the three exceptional cases, since in these cases the [[Dynkin diagram]] has a triple junction node. <a href="https://ncatlab.org/nlab/revision/triple+membrane+junction/1">v1</a>, <a href="https://ncatlab.org/nlab/show/triple+membrane+junction">current</a>

   Started some minimum. This configuration was an early source of speculation of higher structures in M-theory, since it generalizes the binary string junctions between D-branes that carry gauge fields to something trinary.

   I left a brief remark on that.

   But for the moment what I wanted to mainly record is the remark that if one does accept the story of the M-theory lift of gauge enhancement on D6-branes, in terms of M2-branes wrapping 2-spheres that touch along the shape of a Dynkin diagram blowup of an ADE-singularity, then such triple membrane junctions must correspond to blowups of the dihedral ADE-singularities as well as the three exceptional cases, since in these cases the Dynkin diagram has a triple junction node.

   v1, current