Action of the axial $U(1)$ non-invertible symmetry on the 't~Hooft line operator: A simple argument
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913579546968064 |
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| author | Honda, Yamato Onoda, Soma Suzuki, Hiroshi |
| author_facet | Honda, Yamato Onoda, Soma Suzuki, Hiroshi |
| contents | Employing the modified Villain lattice formulation of the axion quantum electrodynamics, we present an alternative and much simpler derivation of the conclusion of~Ref.~\cite{Honda:2024sdz} that the sweep of the axial $U(1)$ non-invertible symmetry operator over the (non-genuine) gauge invariant 't~Hooft line operator with an integer magnetic charge does not leave any effect. The point is that such a 't~Hooft line can be represented by a boundary of a (non-topological) defect that is invariant under the axial transformation on the axion field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_07669 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Action of the axial $U(1)$ non-invertible symmetry on the 't~Hooft line operator: A simple argument Honda, Yamato Onoda, Soma Suzuki, Hiroshi High Energy Physics - Lattice High Energy Physics - Theory Employing the modified Villain lattice formulation of the axion quantum electrodynamics, we present an alternative and much simpler derivation of the conclusion of~Ref.~\cite{Honda:2024sdz} that the sweep of the axial $U(1)$ non-invertible symmetry operator over the (non-genuine) gauge invariant 't~Hooft line operator with an integer magnetic charge does not leave any effect. The point is that such a 't~Hooft line can be represented by a boundary of a (non-topological) defect that is invariant under the axial transformation on the axion field. |
| title | Action of the axial $U(1)$ non-invertible symmetry on the 't~Hooft line operator: A simple argument |
| topic | High Energy Physics - Lattice High Energy Physics - Theory |
| url | https://arxiv.org/abs/2405.07669 |