nLab unitary fusion category

Contents

Context

Monoidal categories

monoidal categories

With symmetry

With duals for objects

With duals for morphisms

With traces

Closed structure

Special sorts of products

Semisimplicity

Morphisms

Internal monoids

Examples

Theorems

In higher category theory

Contents

Idea

A unitary fusion category is a C*-fusion category.

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References

General

Anyonic topological order in terms of braided fusion categories

In condensed matter theory it is folklore that species of anyonic topological order correspond to braided unitary fusion categories/modular tensor categories.

The origin of the claim may be:

Early accounts re-stating this claim (without attribution):

Further discussion (all without attribution):

Last revised on June 7, 2022 at 15:46:35. See the history of this page for a list of all contributions to it.