# Spherical category

In category theory, a branch of mathematics, a **spherical category** is a pivotal category (a monoidal category with traces) in which left and right traces coincide.[1]
Spherical fusion categories give rise to a family of three-dimensional topological state sum models (a particular formulation of a topological quantum field theory), the **Turaev-Viro model**, or rather **Turaev-Viro-Barrett-Westbury model**.[2]

## References

- John W. Barrett, Bruce W. Westbury (1999). "Spherical Categories".
*Advances in Mathematics*.**143**(2): 357–375. arXiv:hep-th/9310164. doi:10.1006/aima.1998.1800.CS1 maint: uses authors parameter (link) - "Turaev-Viro model".
*nLab*. Retrieved 7 August 2017.

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