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arXiv · 2408.13132

S-Matrix Bootstrap and Non-Invertible Symmetries

Christian Copetti·Lucia Cordova·Shota Komatsu
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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.

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Christian Copetti, Lucia Cordova, Shota Komatsu. 2024-08-23. S-Matrix Bootstrap and Non-Invertible Symmetries. https://arxiv.org/abs/2408.13132

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