Illustrating the Categorical Landau Paradigm in Lattice Models

Fuente: arXiv
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Autori principali: Bhardwaj, Lakshya, Bottini, Lea E., Schafer-Nameki, Sakura, Tiwari, Apoorv
Natura: Preprint
Pubblicazione: 2024
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author Bhardwaj, Lakshya
Bottini, Lea E.
Schafer-Nameki, Sakura
Tiwari, Apoorv
author_facet Bhardwaj, Lakshya
Bottini, Lea E.
Schafer-Nameki, Sakura
Tiwari, Apoorv
contents Recent years have seen the concept of global symmetry extended to non-invertible (or categorical) symmetries, for which composition of symmetry generators is not necessarily invertible. Such non-invertible symmetries lead to a generalization of the standard Landau paradigm. In this work we substantiate this framework by providing a (1+1)d lattice model, whose gapped phases and phase transitions can only be explained by symmetry breaking of non-invertible symmetries.
format Preprint
id arxiv_https___arxiv_org_abs_2405_05302
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Illustrating the Categorical Landau Paradigm in Lattice Models
Bhardwaj, Lakshya
Bottini, Lea E.
Schafer-Nameki, Sakura
Tiwari, Apoorv
Strongly Correlated Electrons
High Energy Physics - Theory
Mathematical Physics
Recent years have seen the concept of global symmetry extended to non-invertible (or categorical) symmetries, for which composition of symmetry generators is not necessarily invertible. Such non-invertible symmetries lead to a generalization of the standard Landau paradigm. In this work we substantiate this framework by providing a (1+1)d lattice model, whose gapped phases and phase transitions can only be explained by symmetry breaking of non-invertible symmetries.
title Illustrating the Categorical Landau Paradigm in Lattice Models
topic Strongly Correlated Electrons
High Energy Physics - Theory
Mathematical Physics
url https://arxiv.org/abs/2405.05302