The S-matrix bootstrap IV: multiple amplitudes

Homrich, Alexandre; Penedones, João; Toledo, Jonathan; van Rees, Balt C.; Vieira, Pedro

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.

Citation

Homrich, A., Penedones, J., Toledo, J., van Rees, B. C., & Vieira, P. (2019). The S-matrix bootstrap IV: multiple amplitudes. Journal of High Energy Physics, 2019(11), Article 76. https://doi.org/10.1007/jhep11%282019%29076

• Journal Article Type: Article
• Acceptance Date: Oct 29, 2019
• Online Publication Date: Nov 12, 2019
• Publication Date: Nov 30, 2019
• Deposit Date: Nov 18, 2019
• Publicly Available Date: Nov 18, 2019
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2019
• Issue: 11
• Article Number: 76
• DOI: https://doi.org/10.1007/jhep11%282019%29076
• Public URL: https://durham-repository.worktribe.com/output/1283271