Algebraic higher symmetry and categorical symmetry: A holographic and entanglement view of symmetry

We introduce the notion of algebraic higher symmetry, which generalizes higher symmetry and is beyond higher group. We show that an algebraic higher symmetry in a bosonic system in $n$-dimensional space is characterized and classified by a local fusion $n$-category. We find another way to describe a...

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Bibliographic Details
Main Authors: Kong, Liang, Lan, Tian, Wen, Xiao-Gang, Zhang, Zhi-Hao, Zheng, Hao
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:English
Published: American Physical Society (APS) 2021
Online Access:https://hdl.handle.net/1721.1/135486

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