Homrich, AlexandrePenedones, JoaoToledo, Jonathanvan Rees, Balt C.Vieira, Pedro2019-12-042019-12-042019-12-042019-11-1210.1007/JHEP11(2019)076https://infoscience.epfl.ch/handle/20.500.14299/163532WOS:000497740100001We explore the space of consistent three-particle couplings in Z(2)-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 Z(2) 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.Physics, Particles & FieldsPhysicsfield theories in lower dimensionsintegrable field theoriesscattering amplitudesmodeltext::journal::journal article::research article