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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 García-Valdecasas |
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| Preprint Link: | scipost_202212_00002v1 (pdf) |
| Date accepted: | Jan. 9, 2023 |
| Date submitted: | Dec. 1, 2022, 3:46 p.m. |
| Submitted by: | Eduardo García-Valdecasas |
| 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.
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Minor clarifications.
Published as SciPost Phys. 14, 067 (2023)