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High Energy Physics - Theory
Title: Non-Invertible Symmetries, Anomalies and Scattering Amplitudes
(Submitted on 7 Mar 2024 (v1), last revised 22 Mar 2024 (this version, v2))
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.
Submission history
From: Lucía Córdova [view email][v1] Thu, 7 Mar 2024 19:00:02 GMT (231kb,D)
[v2] Fri, 22 Mar 2024 17:29:02 GMT (192kb,D)
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