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Non-Invertible Symmetries, Anomalies and Scattering Amplitudes

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arxiv 2403.04835 v2 pith:BTHAWMXY submitted 2024-03-07 hep-th cond-mat.str-elhep-ph

classification hep-thcond-mat.str-elhep-ph
keywords anomaliesnon-invertiblesymmetriescrossingmodifiedruless-matricessymmetry
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Exchange relations and crossing

    hep-th 2025-06 conditional novelty 7.0 of 10

    Modified crossing equations for S-matrices with nontrivial braiding are proposed, and a new sign in the massless AdS3 crossing equation yields a simpler dressing factor.

  2. Irrational CFTs from coupled anyon chains with non-invertible symmetries?

    hep-th 2025-07 conditional novelty 6.0 of 10

    DMRG evidence from three coupled Fibonacci anyon chains points to a conformal phase with c=2.10±0.03, proposed as a candidate irrational CFT, though small system sizes leave a weakly first-order alternative open.

  3. Cross-Section Bootstrap: Unveiling the Froissart Amplitude

    hep-th 2025-06 conditional novelty 6.0 of 10

    A universal finite-energy upper bound on the integrated cross-section for identical scalars is derived; the conjectured saturating "Froissart amplitude" shows Regge trajectories, a rising cross-section, and annulus-li...

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