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Non-Invertible Defects in 5d, Boundaries and Holography
by Jeremias Aguilera Damia, Riccardo Argurio, Eduardo Garcia-Valdecasas
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Submission summary
| Authors (as registered SciPost users): | Eduardo Garcia Valdecasas |
| Submission information | |
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| Preprint Link: | scipost_202212_00002v1 (pdf) |
| Date accepted: | 2023-01-09 |
| Date submitted: | 2022-12-01 15:46 |
| Submitted by: | Garcia Valdecasas, Eduardo |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
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 co-dimension 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 co-dimension one non-invertible defects of a boundary theory with an ABJ anomaly.
List of changes
Minor clarifications.
Published as SciPost Phys. 14, 067 (2023)