S-matrix bootstrap and non-invertible symmetries

被引：0
作者：
Copetti, Christian [1 ]
Cordova, Lucia [2 ]
Komatsu, Shota [2 ]
机构：
[1] Univ Oxford, Math Inst, Woodstock Rd, Oxford OX2 6GG, England
[2] CERN, Dept Theoret Phys, CH-1211 Meyrin, Switzerland
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2025年 / 03期
关键词：
Scattering Amplitudes; Global Symmetries; Integrable Field Theories; Topological Field Theories; THERMODYNAMIC BETHE-ANSATZ; MODELS; BOUNDARIES;
D O I：
10.1007/JHEP03(2025)204
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
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 categorydata. By imposing unitarity, symmetry and the modified crossing, we constrain the space o fconsistent 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 vacuatransform in non-regular representations of fusion category, utilizing a connection to a dual categoryC & lowast;Mand Symmetry Topological Field Theory (SymTFT). This highlights the utilityof SymTFT in the analysis of scattering amplitudes
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页数：47
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