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Non-invertible symmetries, anomalies and scattering amplitudes

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If you have a question about this talk, please contact Jackson Fliss .

We demonstrate that crossing symmetry of S-matrices can be violated in theories with non-invertible symmetries or anomalies. Focusing on integrable flows to gapped phases in two dimensions, we show 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 crossing symmetry and obey modified rules dictated by fusion categories. Based on upcoming work with Christian Copetti and Shota Komatsu.

This talk is part of the Quantum Fields and Strings Seminars series.

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