Emergent matter as form of ramification?

[Jim Kata]

Ok, I doubt this belongs in this forum since it's purely speculative, but I was curious what work has been done in the direction of explaining emergent matter as a type of ramification? Namely, Sundance Bilson showed in a novel paper that he could create the first generation of the Standard Model through braid relations. Now a natural question is why would these braid relations arise? In the tamely ramified Langland's program braid relations arise as the Weyl group of an affine lie algebra. They describe center of a universal cover of a group or the fundamental group of the adjoint representation of a group. Has anyone tried to work out the details as to whether this mechanism could explain the internal symmetries of the standard model?

 

[marcus]

Has anyone tried to work out the details as to whether this mechanism could explain the internal symmetries of the standard model?

Look on arxiv for the papers of Yidun Wan.

Yidun Wan is one of a handful of people who have been researching this idea in the past couple of years.
Jonathan Hackett is another.

 

[MTd2]

Now a natural question is why would these braid relations arise?

They don't arise. They are just made to eventualy emulate the SM. They are beautiful, though, and work in a very subtle way. Not at all naive.

As Marcus said, check Yin DunWan:
http://arxiv.org/find/hep-th/1/au:+Wan_Y/0/1/0/all/0/1

Has anyone tried to work out the details as to whether this mechanism could explain the internal symmetries of the standard model?

I never saw any explicit attempt in considering any supersymmetry, much less N4SYM. But I was thinking about that too... About the ramified case of the langlands, but I am almost there in trying to understand the gist of it.

Anyway, what kind of loop operator is that one of LQG?

 

[Jim Kata]

Anyway, what kind of loop operator is that one of LQG?

On one side of the correspondence it's a Wilson loop operator, which is an element of the fundamental group. On the other side of the correspondence it's a t'Hooft / Wilson line operator over the Langland's dual gauge group, through a type of magnetic monopole phenomena. I'm really just speculating, but this would be consistent with the Witten Kapustin description. Granted, their paper only considered a topologically twisted version of N=4 supersymmetry, but I think the under riding principles of the correspondence are more robust than just applying to the GL twisted N = 4 case.