# Spherical category

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{{Primary sources|date=November 2013}}
In [category theory](/source/category_theory), a branch of mathematics, a '''spherical category''' is a [pivotal category](/source/pivotal_category) (a [monoidal category](/source/monoidal_category) with [trace](/source/Traced_monoidal_category)s) in which left and right traces coincide.<ref>{{cite journal|journal=[Advances in Mathematics](/source/Advances_in_Mathematics)|volume=143|issue=2|pages=357–375|year=1999|title=Spherical Categories|author=John W. Barrett |author2=Bruce W. Westbury |doi=10.1006/aima.1998.1800|doi-access=free|arxiv=hep-th/9310164}}</ref>
Spherical [fusion categories](/source/fusion_category) give rise to a family of three-dimensional topological state sum models (a particular formulation of a [topological quantum field theory](/source/topological_quantum_field_theory)<ref>{{Cite book |last=Turaev |first=Vladimir Georgievič |title=Monoidal categories and topological field theory |last2=Virelizier |first2=Alexis |date=2017 |publisher=Birkhäuser Springer international publishing |isbn=978-3-319-49833-1 |series=Progress in mathematics |location=Cham}}</ref>), the '''Turaev-Viro model''', or rather '''Turaev-Viro-Barrett-Westbury model'''.<ref>{{cite web|title=Turaev-Viro model|url=https://ncatlab.org/nlab/show/Turaev-Viro+model|website=nLab|access-date=7 August 2017}}</ref>

==References==
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Category:Category theory

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