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arXiv · 2207.02831

Non-Invertible Defects in 5d, Boundaries and Holography

Jeremias Aguilera Damia·Riccardo Argurio·Eduardo Garcia-Valdecasas
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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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Jeremias Aguilera Damia, Riccardo Argurio, Eduardo Garcia-Valdecasas. 2023-01-10. Non-Invertible Defects in 5d, Boundaries and Holography. https://doi.org/10.21468/scipostphys.14.4.067

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