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Updated: Jun 7, 2025

Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Noninvertible Symmetries, Anomalies, and Scattering Amplitudes
Christian Copetti1, Lucía Córdova2, Shota Komatsu2
1Mathematical Institute, <a href="https://ror.org/052gg0110">University of Oxford</a>, Woodstock Road, Oxford OX2 6GG, United Kingdom.
Abstract:
We show that crossing symmetry of S matrices is modified in certain theories with noninvertible 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 noninvertible 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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