Illustrating the Categorical Landau Paradigm in Lattice Models
| Autor: | Bhardwaj, Lakshya, Bottini, Lea E., Schafer-Nameki, Sakura, Tiwari, Apoorv |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 4.5 pages + appendices, v2: references added |
| Databáze: | arXiv |
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