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2022

Codimension-2 defects and higher symmetries in (3+1)D topological phases

Barkeshli, Maissam, Chen, Yu-An, Huang, Sheng-Jie et al.

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(3+1)D topological phases of matter can host a broad class of non-trivial topological defects of codimension-1, 2, and 3, of which the well-known point charges and flux loops are special cases.

The complete algebraic structure of these defects defines a higher category, and can be viewed as an emergent higher symmetry.
This plays a crucial role both in the classification of phases of matter and the possible fault-tolerant logical operations in topological quantum error correcting codes.
In this paper, we study several examples of such higher codimension defects from distinct perspectives.

Codimension-2 defects and higher symmetries in (3+1)D topological phases · Around

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