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Title:
A categorical view of symmetry and a holographic view of symmetry
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Abstract:
Symmetry are usually described by groups or higher groups. Here I will described a more general view of symmetry in terms of fusion higher category. Symmetries described by different groups and/or different fusion higher categories can be equivalent. There is an even better way to describe symmetries in terms of braided fusion higher category, ie in terms of topological order in one higher dimension. The equivalent symmetries will be described by the same braided fusion higher category (ie the same topological order in one higher dimension).
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