1. S-Matrix Bootstrap and Non-Invertible Symmetries
- Author
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Copetti, Christian, Cordova, Lucia, and Komatsu, Shota
- Subjects
High Energy Physics - Theory ,Condensed Matter - Strongly Correlated Electrons ,High Energy Physics - Phenomenology - Abstract
We initiate the S-matrix bootstrap analysis of theories with non-invertible symmetries in (1+1) dimensions. Our previous work 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 $\mathscr C^{*}_{\mathscr{M}}$ and Symmetry Topological Field Theory (SymTFT). This highlights the utility of SymTFT in the analysis of scattering amplitudes., Comment: 33 pages plus appendices, v2: references added
- Published
- 2024