S-matrix bootstrap and non-invertible symmetries

Journal article

We initiate the S-matrix bootstrap analysis of theories with non-invertible symmetries in (1+1) dimensions. Our previous work [1] showed that crossing symmetry of S-matrices in such theories is modified, with modification characterized by the fusion category data. By imposing unitarity, symmetry and the modified crossing, we constrain the space of consistent S-matrices, identifying integrable theories with non-invertible symmetries at the cusps of allowed regions. We also extend the modified crossing rules to cases where vacua transform in non-regular representations of fusion category, utilizing a connection to a dual category CM∗ and Symmetry Topological Field Theory (SymTFT). This highlights the utility of SymTFT in the analysis of scattering amplitudes.

Authors: Copetti, C; Córdova, L; Komatsu, S

• Publication status: Published
• Peer review status: Peer reviewed
• Publisher: Springer
• Journal: Journal of High Energy Physics
• Volume: 2025
• Issue: 3
• Article number: 204
• Publication date: 2025-03-28
• Acceptance date: 2025-02-24
• DOI: 10.1007/jhep03(2025)204
• EISSN: 1029-8479
• ISSN: 1126-6708
• Language: English
• Keywords: Global Symmetries; Topological Field Theories; Scattering Amplitudes; Integrable Field Theories