Gapped interfaces in fracton models and foliated fields
Abstract This work investigates the gapped interfaces of 3+1d fracton phases of matter using foliated gauge theories and lattice models. We analyze the gapped boundaries and gapped interfaces in X cube model, and the gapped interfaces between the X-cube model and the toric code. The gapped interface...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2023)089 |
| _version_ | 1797199682480373760 |
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| author | Po-Shen Hsin Zhu-Xi Luo Ananth Malladi |
| author_facet | Po-Shen Hsin Zhu-Xi Luo Ananth Malladi |
| author_sort | Po-Shen Hsin |
| collection | DOAJ |
| description | Abstract This work investigates the gapped interfaces of 3+1d fracton phases of matter using foliated gauge theories and lattice models. We analyze the gapped boundaries and gapped interfaces in X cube model, and the gapped interfaces between the X-cube model and the toric code. The gapped interfaces are either “undecorated” or “decorated”, where the “decorated” interfaces have additional Chern-Simons like actions for foliated gauge fields. We discover many new gapped boundaries and interfaces, such as (1) a gapped boundary for X-cube model where the electric lineons orthogonal to the interface become the magnetic lineons, the latter are the composite of magnetic planons; (2) a Kramers-Wannier-duality type gapped interface between the X-cube model and the toric code model from gauging planar subsystem one-form symmetry; and (3) an electromagnetic duality interface in the X-cube model that exchanges the electric and magnetic lineons. |
| first_indexed | 2024-03-09T15:32:15Z |
| format | Article |
| id | doaj.art-8769f6bb14ca4672babdea1450df9268 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T07:19:38Z |
| publishDate | 2023-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-8769f6bb14ca4672babdea1450df92682024-04-21T11:05:25ZengSpringerOpenJournal of High Energy Physics1029-84792023-11-0120231113310.1007/JHEP11(2023)089Gapped interfaces in fracton models and foliated fieldsPo-Shen Hsin0Zhu-Xi Luo1Ananth Malladi2Mani L. Bhaumik Institute for Theoretical Physics, Department of Physics and Astronomy, University of CaliforniaDepartment of Physics, Harvard UniversityDepartment of Physics, University of CaliforniaAbstract This work investigates the gapped interfaces of 3+1d fracton phases of matter using foliated gauge theories and lattice models. We analyze the gapped boundaries and gapped interfaces in X cube model, and the gapped interfaces between the X-cube model and the toric code. The gapped interfaces are either “undecorated” or “decorated”, where the “decorated” interfaces have additional Chern-Simons like actions for foliated gauge fields. We discover many new gapped boundaries and interfaces, such as (1) a gapped boundary for X-cube model where the electric lineons orthogonal to the interface become the magnetic lineons, the latter are the composite of magnetic planons; (2) a Kramers-Wannier-duality type gapped interface between the X-cube model and the toric code model from gauging planar subsystem one-form symmetry; and (3) an electromagnetic duality interface in the X-cube model that exchanges the electric and magnetic lineons.https://doi.org/10.1007/JHEP11(2023)089Boundary Quantum Field TheoryChern-Simons TheoriesLattice Quantum Field TheoryTopological States of Matter |
| spellingShingle | Po-Shen Hsin Zhu-Xi Luo Ananth Malladi Gapped interfaces in fracton models and foliated fields Journal of High Energy Physics Boundary Quantum Field Theory Chern-Simons Theories Lattice Quantum Field Theory Topological States of Matter |
| title | Gapped interfaces in fracton models and foliated fields |
| title_full | Gapped interfaces in fracton models and foliated fields |
| title_fullStr | Gapped interfaces in fracton models and foliated fields |
| title_full_unstemmed | Gapped interfaces in fracton models and foliated fields |
| title_short | Gapped interfaces in fracton models and foliated fields |
| title_sort | gapped interfaces in fracton models and foliated fields |
| topic | Boundary Quantum Field Theory Chern-Simons Theories Lattice Quantum Field Theory Topological States of Matter |
| url | https://doi.org/10.1007/JHEP11(2023)089 |
| work_keys_str_mv | AT poshenhsin gappedinterfacesinfractonmodelsandfoliatedfields AT zhuxiluo gappedinterfacesinfractonmodelsandfoliatedfields AT ananthmalladi gappedinterfacesinfractonmodelsandfoliatedfields |