Subsystem symmetry fractionalization and foliated field theory
Topological quantum matter exhibits a range of exotic phenomena when enriched by subdimensional symmetries. This includes new features beyond those that appear in the conventional setting of global symmetry enrichment. A recently discovered example is a type of subsystem symmetry fractionalization t...
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2025-05-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.18.5.147 |
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| author | Po-Shen Hsin, David T. Stephen, Arpit Dua, Dominic J. Williamson |
| author_facet | Po-Shen Hsin, David T. Stephen, Arpit Dua, Dominic J. Williamson |
| author_sort | Po-Shen Hsin, David T. Stephen, Arpit Dua, Dominic J. Williamson |
| collection | DOAJ |
| description | Topological quantum matter exhibits a range of exotic phenomena when enriched by subdimensional symmetries. This includes new features beyond those that appear in the conventional setting of global symmetry enrichment. A recently discovered example is a type of subsystem symmetry fractionalization that occurs through a different mechanism to global symmetry fractionalization. In this work we extend the study of subsystem symmetry fractionalization through new examples derived from the general principle of embedding subsystem symmetry into higher-form symmetry. This leads to new types of symmetry fractionalization that are described by foliation dependent higher-form symmetries. This leads to field theories and lattice models that support previously unseen anomalous subsystem symmetry fractionalization. Our work expands the range of exotic topological physics that is enabled by subsystem symmetry in field theory and on the lattice. |
| format | Article |
| id | doaj-art-00b22224ee1246a8a1335c19ef3a8292 |
| institution | DOAJ |
| issn | 2542-4653 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj-art-00b22224ee1246a8a1335c19ef3a82922025-08-20T03:10:41ZengSciPostSciPost Physics2542-46532025-05-0118514710.21468/SciPostPhys.18.5.147Subsystem symmetry fractionalization and foliated field theoryPo-Shen Hsin, David T. Stephen, Arpit Dua, Dominic J. WilliamsonTopological quantum matter exhibits a range of exotic phenomena when enriched by subdimensional symmetries. This includes new features beyond those that appear in the conventional setting of global symmetry enrichment. A recently discovered example is a type of subsystem symmetry fractionalization that occurs through a different mechanism to global symmetry fractionalization. In this work we extend the study of subsystem symmetry fractionalization through new examples derived from the general principle of embedding subsystem symmetry into higher-form symmetry. This leads to new types of symmetry fractionalization that are described by foliation dependent higher-form symmetries. This leads to field theories and lattice models that support previously unseen anomalous subsystem symmetry fractionalization. Our work expands the range of exotic topological physics that is enabled by subsystem symmetry in field theory and on the lattice.https://scipost.org/SciPostPhys.18.5.147 |
| spellingShingle | Po-Shen Hsin, David T. Stephen, Arpit Dua, Dominic J. Williamson Subsystem symmetry fractionalization and foliated field theory SciPost Physics |
| title | Subsystem symmetry fractionalization and foliated field theory |
| title_full | Subsystem symmetry fractionalization and foliated field theory |
| title_fullStr | Subsystem symmetry fractionalization and foliated field theory |
| title_full_unstemmed | Subsystem symmetry fractionalization and foliated field theory |
| title_short | Subsystem symmetry fractionalization and foliated field theory |
| title_sort | subsystem symmetry fractionalization and foliated field theory |
| url | https://scipost.org/SciPostPhys.18.5.147 |
| work_keys_str_mv | AT poshenhsindavidtstephenarpitduadominicjwilliamson subsystemsymmetryfractionalizationandfoliatedfieldtheory |