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Categorical Landau Paradigm for Gapped Phases

Oct 5, 2023

4 pages

Published in:

Phys.Rev.Lett. 133 (2024) 16, 161601

Published: Oct 16, 2024

e-Print:

2310.03786 [cond-mat.str-el]

DOI:

10.1103/PhysRevLett.133.161601 (publication)

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Abstract: (APS)

We propose a unified framework to classify gapped infrared phases with categorical symmetries, leading to a generalized, categorical Landau paradigm. This is applicable in any dimension and gives a succinct, comprehensive, and computationally powerful approach to classifying gapped symmetric phases. The key tool is the symmetry topological field theory, which is a one dimension higher topological field theory with two boundaries that we choose to be topological. We illustrate the general idea for

(1 + 1) D

gapped phases with categorical symmetries and suggest higher-dimensional extensions.

Note:

4 pages + supplementary material

References(31)

Figures(0)

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