Classification of gapped domain walls of topological orders in 2+1 dimensions: a Levin-Wen model realization
Abstract This paper introduces a novel systematic construction of gapped domain walls (GDWs) within the Levin-Wen (LW) model. By gluing two LW models along their open sides in a compatible way, we achieve a complete GDW classification by subsets of bulk input data, which encompass the classification...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP06(2025)088 |
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| _version_ | 1849767605218312192 |
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| author | Yanyan Chen Siyuan Wang Yu Zhao Yuting Hu Yidun Wan |
| author_facet | Yanyan Chen Siyuan Wang Yu Zhao Yuting Hu Yidun Wan |
| author_sort | Yanyan Chen |
| collection | DOAJ |
| description | Abstract This paper introduces a novel systematic construction of gapped domain walls (GDWs) within the Levin-Wen (LW) model. By gluing two LW models along their open sides in a compatible way, we achieve a complete GDW classification by subsets of bulk input data, which encompass the classifications in terms of bimodule categories. A generalized bimodule structure is introduced to capture domain-wall excitations. Furthermore, we demonstrate that folding along any GDW yields a gapped boundary (GB) described by a Frobenius algebra of the input UFC for the folded model, thus bridging our GDW classification and the GB classification in [1]. |
| format | Article |
| id | doaj-art-dc52faec132f4fd0ac57ef6d60aedb4c |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-dc52faec132f4fd0ac57ef6d60aedb4c2025-08-20T03:04:07ZengSpringerOpenJournal of High Energy Physics1029-84792025-06-012025614110.1007/JHEP06(2025)088Classification of gapped domain walls of topological orders in 2+1 dimensions: a Levin-Wen model realizationYanyan Chen0Siyuan Wang1Yu Zhao2Yuting Hu3Yidun Wan4State Key Laboratory of Surface Physics, Center for Astronomy and Astrophysics, Department of Physics, Center for Field Theory and Particle Physics, and Institute for Nanoelectronic devices and Quantum Computing, Fudan UniversityState Key Laboratory of Surface Physics, Center for Astronomy and Astrophysics, Department of Physics, Center for Field Theory and Particle Physics, and Institute for Nanoelectronic devices and Quantum Computing, Fudan UniversityState Key Laboratory of Surface Physics, Center for Astronomy and Astrophysics, Department of Physics, Center for Field Theory and Particle Physics, and Institute for Nanoelectronic devices and Quantum Computing, Fudan UniversitySchool of Physics, Hangzhou Normal UniversityState Key Laboratory of Surface Physics, Center for Astronomy and Astrophysics, Department of Physics, Center for Field Theory and Particle Physics, and Institute for Nanoelectronic devices and Quantum Computing, Fudan UniversityAbstract This paper introduces a novel systematic construction of gapped domain walls (GDWs) within the Levin-Wen (LW) model. By gluing two LW models along their open sides in a compatible way, we achieve a complete GDW classification by subsets of bulk input data, which encompass the classifications in terms of bimodule categories. A generalized bimodule structure is introduced to capture domain-wall excitations. Furthermore, we demonstrate that folding along any GDW yields a gapped boundary (GB) described by a Frobenius algebra of the input UFC for the folded model, thus bridging our GDW classification and the GB classification in [1].https://doi.org/10.1007/JHEP06(2025)088AnyonsTopological States of MatterTopological Field TheoriesLattice Quantum Field Theory |
| spellingShingle | Yanyan Chen Siyuan Wang Yu Zhao Yuting Hu Yidun Wan Classification of gapped domain walls of topological orders in 2+1 dimensions: a Levin-Wen model realization Journal of High Energy Physics Anyons Topological States of Matter Topological Field Theories Lattice Quantum Field Theory |
| title | Classification of gapped domain walls of topological orders in 2+1 dimensions: a Levin-Wen model realization |
| title_full | Classification of gapped domain walls of topological orders in 2+1 dimensions: a Levin-Wen model realization |
| title_fullStr | Classification of gapped domain walls of topological orders in 2+1 dimensions: a Levin-Wen model realization |
| title_full_unstemmed | Classification of gapped domain walls of topological orders in 2+1 dimensions: a Levin-Wen model realization |
| title_short | Classification of gapped domain walls of topological orders in 2+1 dimensions: a Levin-Wen model realization |
| title_sort | classification of gapped domain walls of topological orders in 2 1 dimensions a levin wen model realization |
| topic | Anyons Topological States of Matter Topological Field Theories Lattice Quantum Field Theory |
| url | https://doi.org/10.1007/JHEP06(2025)088 |
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