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Categorical Landau Paradigm for Gapped Phases

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arxiv 2310.03786 v2 pith:PZCG5A4Y submitted 2023-10-05 cond-mat.str-el hep-thmath.CT

Lakshya Bhardwaj , Lea E. Bottini , Daniel Pajer , Sakura Schafer-Nameki This is my paper
classification cond-mat.str-elhep-thmath.CT
keywords categoricalgappedphasesdimensionlandauparadigmsymmetriestopological
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We propose a unified framework to classify gapped infra-red (IR) 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 (SymTFT), which is a one dimension higher TFT with two boundaries, which we choose both to be topological. We illustrate the general idea for (1+1)d gapped phases with categorical symmetries and suggest higher-dimensional extensions.

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Cited by 9 Pith papers

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