Non-Invertible Symmetries, Anomalies and Scattering Amplitudes
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914724496539648 |
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| author | Copetti, Christian Cordova, Lucia Komatsu, Shota |
| author_facet | Copetti, Christian Cordova, Lucia Komatsu, Shota |
| contents | We show that crossing symmetry of S-matrices is modified in certain theories with non-invertible symmetries or anomalies. Focusing on integrable flows to gapped phases in two dimensions, we find that S-matrices derived previously from the bootstrap approach are incompatible with non-invertible symmetries along the flow. We present consistent alternatives, which however violate standard crossing symmetry and obey modified rules dictated by fusion categories. We extend these rules to theories with discrete anomalies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_04835 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-Invertible Symmetries, Anomalies and Scattering Amplitudes Copetti, Christian Cordova, Lucia Komatsu, Shota High Energy Physics - Theory Strongly Correlated Electrons High Energy Physics - Phenomenology We show that crossing symmetry of S-matrices is modified in certain theories with non-invertible symmetries or anomalies. Focusing on integrable flows to gapped phases in two dimensions, we find that S-matrices derived previously from the bootstrap approach are incompatible with non-invertible symmetries along the flow. We present consistent alternatives, which however violate standard crossing symmetry and obey modified rules dictated by fusion categories. We extend these rules to theories with discrete anomalies. |
| title | Non-Invertible Symmetries, Anomalies and Scattering Amplitudes |
| topic | High Energy Physics - Theory Strongly Correlated Electrons High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2403.04835 |