Junctions of surface operators and categorification of quantum groups

@article{Chun2015JunctionsOS,
  title={Junctions of surface operators and categorification of quantum groups},
  author={Sungbong Chun and Sergei Gukov and Daniel Roggenkamp},
  journal={arXiv: High Energy Physics - Theory},
  year={2015}
}
We show how networks of Wilson lines realize quantum groups U_q(sl_m), for arbitrary m, in 3d SU(N) Chern-Simons theory. Lifting this construction to foams of surface operators in 4d theory we find that rich structure of junctions is encoded in combinatorics of planar diagrams. For a particular choice of surface operators we reproduce known mathematical constructions of categorical representations and categorified quantum groups. 
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