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arXiv · 2403.04835

Non-Invertible Symmetries, Anomalies and Scattering Amplitudes

Christian Copetti·Lucia Cordova·Shota Komatsu
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Abstract

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.

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Christian Copetti, Lucia Cordova, Shota Komatsu. 2024-03-22. Non-Invertible Symmetries, Anomalies and Scattering Amplitudes. https://arxiv.org/abs/2403.04835

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