2019/05/16 by Alexandre Homrich, Joao Penedones, Jonathan Toledo +2
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/jhep11(2019)076
36 pages + 12 appendices, 29 figures
arxiv created 2019/05/16 · arxiv updated 2020/01/08
We explore the space of consistent three-particle couplings in \mathbb 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 [arXiv:1607.06110] 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 [arXiv:1607.06109]. 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 \mathbb 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.