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Mathematics > Quantum Algebra

Title: Twisted Drinfeld Centers and Framed String-Nets

Abstract: We discuss a string-net construction on 2-framed surfaces, taking as algebraic input a finite, rigid tensor category, which is neither assumed to be pivotal nor semi-simple. It is shown that circle categories of our framed string-net construction essentially compute Drinfeld centers twisted by powers of the double dual functor.
Comments: Small typos fixed, one reference added
Subjects: Quantum Algebra (math.QA); Mathematical Physics (math-ph)
Report number: ZMP-HH/23-2, Hamburger Beitraege zur Mathematik 938
Cite as: arXiv:2302.14779 [math.QA]
  (or arXiv:2302.14779v3 [math.QA] for this version)

Submission history

From: Christoph Schweigert [view email]
[v1] Tue, 28 Feb 2023 17:24:32 GMT (30kb)
[v2] Wed, 1 Mar 2023 04:17:42 GMT (30kb)
[v3] Fri, 26 Apr 2024 13:01:01 GMT (30kb)

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