Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.06596 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910442472865792 |
|---|---|
| author | Arbalestrier, Adrien Argurio, Riccardo Tizzano, Luigi |
| author_facet | Arbalestrier, Adrien Argurio, Riccardo Tizzano, Luigi |
| contents | We revisit the possibility of constructing non-invertible topological defects for the axial symmetry of massless QED, despite its ABJ anomaly. Dressing the defects with a topological quantum field theory with mixed $U(1)$ and $\mathbb{R}$-valued gauge fields, we are able to describe axial rotations of any rational or irrational angle. We confront our results with the existing proposals, in particular those that concern rational angles. We also provide the Symmetry TFT that reproduces the action of all such symmetry defects of QED. Finally, we discuss how similar techniques allow the study of condensation defects for a $\mathbb{R}$ global symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_06596 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Non-Invertible Axial Symmetry in QED Comes Full Circle Arbalestrier, Adrien Argurio, Riccardo Tizzano, Luigi High Energy Physics - Theory We revisit the possibility of constructing non-invertible topological defects for the axial symmetry of massless QED, despite its ABJ anomaly. Dressing the defects with a topological quantum field theory with mixed $U(1)$ and $\mathbb{R}$-valued gauge fields, we are able to describe axial rotations of any rational or irrational angle. We confront our results with the existing proposals, in particular those that concern rational angles. We also provide the Symmetry TFT that reproduces the action of all such symmetry defects of QED. Finally, we discuss how similar techniques allow the study of condensation defects for a $\mathbb{R}$ global symmetry. |
| title | The Non-Invertible Axial Symmetry in QED Comes Full Circle |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2405.06596 |