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20 April 2024

» arxiv » 1507.6318

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Junctions of surface operators and categorification of quantum groups
Sungbong Chun ; Sergei Gukov ; Daniel Roggenkamp ;
Date:	22 Jul 2015
Abstract:	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.
Source:	arXiv, 1507.6318
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