The center of monoidal 2-categories in 3+1D Dijkgraaf-Witten theory

DOI10.1016/j.aim.2019.106928zbMath1428.18026arXiv1905.04644OpenAlexW2944533479WikidataQ126656779 ScholiaQ126656779MaRDI QIDQ2281340

Yanyan Li

Publication date: 19 December 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.04644

zbMATH Keywords

Drinfeld centertopological quantum field theorybraided monoidal 2-categories

Mathematics Subject Classification ID

Topological field theories in quantum mechanics (81T45) Topological quantum field theories (aspects of differential topology) (57R56) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40) Monoidal categories, symmetric monoidal categories (18M05)

Related Items (13)

Crossing with the circle in Dijkgraaf–Witten theory and applications to topological phases of matter ⋮ Defects in the 3-dimensional toric code model form a braided fusion 2-category ⋮ Drinfel'd double symmetry of the 4d Kitaev model ⋮ Categories of quantum liquids. I. ⋮ Tensor network approach to electromagnetic duality in \((3+1)\)d topological gauge models ⋮ Rigid and separable algebras in fusion 2-categories ⋮ Unnamed Item ⋮ Gapped boundaries and string-like excitations in (3+1)d gauge models of topological phases ⋮ Classification of topological phases with finite internal symmetries in all dimensions ⋮ Dimensional reduction, extended topological field theories and orbifoldization ⋮ Galois orbits of TQFTs: symmetries and unitarity ⋮ One dimensional gapped quantum phases and enriched fusion categories ⋮ Twisted loop transgression and higher Jandl gerbes over finite groupoids

Cites Work

• Unnamed Item
• Modular extensions of unitary braided fusion categories and 2+1D topological/SPT orders with symmetries
• Loop spaces, and coherence for monoidal and braided monoidal bicategories
• Topological gauge theories and group cohomology
• The twisted Drinfeld double of a finite group via gerbes and finite groupoids
• Generalized centers of braided and sylleptic monoidal 2-categories
• Braided monoidal 2-categories and Manin-Schechtman higher braid groups
• Module categories, weak Hopf algebras and modular invariants
• Higher dimensional algebra. I: Braided monoidal 2-categories
• Coherence for tricategories
• The Integral Cohomology Rings of Groups of Order p 3
• Quasi Hopf algebras, group cohomology and orbifold models

This page was built for publication: The center of monoidal 2-categories in 3+1D Dijkgraaf-Witten theory