Twisted Drinfeld Centers and Framed String-Nets

Fuente: arXiv
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Autori principali: Knötzele, Hannes, Schweigert, Christoph, Traube, Matthias
Natura: Preprint
Pubblicazione: 2023
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author Knötzele, Hannes
Schweigert, Christoph
Traube, Matthias
author_facet Knötzele, Hannes
Schweigert, Christoph
Traube, Matthias
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2302_14779
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Twisted Drinfeld Centers and Framed String-Nets
Knötzele, Hannes
Schweigert, Christoph
Traube, Matthias
Quantum Algebra
Mathematical Physics
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.
title Twisted Drinfeld Centers and Framed String-Nets
topic Quantum Algebra
Mathematical Physics
url https://arxiv.org/abs/2302.14779