The S-matrix bootstrap IV: multiple amplitudes

• Main Authors: Alexandre Homrich, João Penedones, Jonathan Toledo, Balt C. van Rees, Pedro Vieira
• Format: Article
• Language: English
• Published: SpringerOpen 2019-11-01
• Series: Journal of High Energy Physics
• Subjects: Field Theories in Lower Dimensions; Integrable Field Theories; Scattering Amplitudes
• Online Access: http://link.springer.com/article/10.1007/JHEP11(2019)076

Abstract We explore the space of consistent three-particle couplings in ℤ2-symmetric two-dimensional QFTs using two first-principles approaches. Our first approach relies solely on unitarity, analyticity and crossing symmetry of the two-to-two scattering amplitudes and extends the techniques of [2] to a multi-amplitude setup. Our second approach is based on placing QFTs in AdS to get upper bounds on couplings with the numerical conformal bootstrap, and is a multi-correlator version of [1]. The space of allowed couplings that we carve out is rich in features, some of which we can link to amplitudes in integrable theories with a ℤ2 symmetry, e.g., the three-state Potts and tricritical Ising field theories. Along a specific line our maximal coupling agrees with that of a new exact S-matrix that corresponds to an elliptic deformation of the supersymmetric Sine-Gordon model which preserves unitarity and solves the Yang-Baxter equation.