| Preprint | |
| Report number | arXiv:2408.13132 |
| Title | S-Matrix Bootstrap and Non-Invertible Symmetries |
| Author(s) | Copetti, Christian (Oxford U., Inst. Math.) ; Cordova, Lucia (CERN) ; Komatsu, Shota (CERN) |
| Imprint | 2024-08-23 |
| Number of pages | 43 |
| Note | 33 pages plus appendices, v3: references added, typos corrected, appendix added |
| Subject category | hep-ph ; Particle Physics - Phenomenology ; cond-mat.str-el ; hep-th ; Particle Physics - Theory |
| 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. |
| Other source | Inspire |
| Copyright/License | preprint: (License: CC BY 4.0) |
Record created 2024-08-30, last modified 2024-11-11