Non-invertible defects in 5d, boundaries and holography
We show that very simple theories of abelian gauge fields with a cubic Chern-Simons term in 5d have an infinite number of non-invertible codimension two defects. They arise by dressing the symmetry operators of the broken electric 1-form symmetry with a suitable topological field theory, for any rat...
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| Format: | Article |
| Language: | English |
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SciPost
2023-04-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.14.4.067 |
| _version_ | 1827968307068665856 |
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| author | Jeremias Aguilera Damia, Riccardo Argurio, Eduardo Garcia-Valdecasas |
| author_facet | Jeremias Aguilera Damia, Riccardo Argurio, Eduardo Garcia-Valdecasas |
| author_sort | Jeremias Aguilera Damia, Riccardo Argurio, Eduardo Garcia-Valdecasas |
| collection | DOAJ |
| description | We show that very simple theories of abelian gauge fields with a cubic Chern-Simons term in 5d have an infinite number of non-invertible codimension two defects. They arise by dressing the symmetry operators of the broken electric 1-form symmetry with a suitable topological field theory, for any rational angle. We further discuss the same theories in the presence of a 4d boundary, and more particularly in a holographic setting. There we find that the bulk defects, when pushed to the boundary, have various different fates. Most notably, they can become codimension one non-invertible defects of a boundary theory with an ABJ anomaly. |
| first_indexed | 2024-04-09T18:19:11Z |
| format | Article |
| id | doaj.art-ba2a26e253944c94b18de4e92c59ba3c |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-04-09T18:19:11Z |
| publishDate | 2023-04-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-ba2a26e253944c94b18de4e92c59ba3c2023-04-12T13:51:47ZengSciPostSciPost Physics2542-46532023-04-0114406710.21468/SciPostPhys.14.4.067Non-invertible defects in 5d, boundaries and holographyJeremias Aguilera Damia, Riccardo Argurio, Eduardo Garcia-ValdecasasWe show that very simple theories of abelian gauge fields with a cubic Chern-Simons term in 5d have an infinite number of non-invertible codimension two defects. They arise by dressing the symmetry operators of the broken electric 1-form symmetry with a suitable topological field theory, for any rational angle. We further discuss the same theories in the presence of a 4d boundary, and more particularly in a holographic setting. There we find that the bulk defects, when pushed to the boundary, have various different fates. Most notably, they can become codimension one non-invertible defects of a boundary theory with an ABJ anomaly.https://scipost.org/SciPostPhys.14.4.067 |
| spellingShingle | Jeremias Aguilera Damia, Riccardo Argurio, Eduardo Garcia-Valdecasas Non-invertible defects in 5d, boundaries and holography SciPost Physics |
| title | Non-invertible defects in 5d, boundaries and holography |
| title_full | Non-invertible defects in 5d, boundaries and holography |
| title_fullStr | Non-invertible defects in 5d, boundaries and holography |
| title_full_unstemmed | Non-invertible defects in 5d, boundaries and holography |
| title_short | Non-invertible defects in 5d, boundaries and holography |
| title_sort | non invertible defects in 5d boundaries and holography |
| url | https://scipost.org/SciPostPhys.14.4.067 |
| work_keys_str_mv | AT jeremiasaguileradamiariccardoargurioeduardogarciavaldecasas noninvertibledefectsin5dboundariesandholography |