Junctions of surface operators and categorification of quantum groups


Chun, Sungbong ; Gukov, Sergei ; Roggenkamp, Daniel



URL: https://arxiv.org/abs/1507.06318
Additional URL: http://inspirehep.net/record/1384532
Document Type: Working paper
Year of publication: 2015
Place of publication: Ithaca, NY
Publishing house: Cornell University Library
Edition: Rev. 2016
Publication language: English
Institution: School of Business Informatics and Mathematics > Mathematische Physik (Roggenkamp 2018-)
Subject: 510 Mathematics
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.

Dieser Datensatz wurde nicht während einer Tätigkeit an der Universität Mannheim veröffentlicht, dies ist eine Externe Publikation.




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Chun, Sungbong ; Gukov, Sergei ; Roggenkamp, Daniel (2015) Junctions of surface operators and categorification of quantum groups. Ithaca, NY [Working paper]


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