Autor(es): Homrich, Alexandre [UNESP] ; Penedones, João ; Toledo, Jonathan ; van Rees, Balt C. ; Vieira, Pedro [UNESP]
Data: 2020
Identificador Persistente: http://hdl.handle.net/11449/199667
Origem: Oasisbr
Assunto(s): Field Theories in Lower Dimensions; Integrable Field Theories; Scattering Amplitudes; Field Theories in Lower Dimensions; Field Theories in Lower Dimensions; Integrable Field Theories; Integrable Field Theories; Scattering Amplitudes; Scattering Amplitudes
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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.
Perimeter Institute for Theoretical Physics
ICTP South American Institute for Fundamental Research IFT-UNESP
Fields and Strings Laboratory Institute of Physics École Polytechnique Fédérale de Lausanne (EPFL)
Centre for Particle Theory Department of Mathematical Sciences Durham University, Lower Mountjoy, Stockton Road
ICTP South American Institute for Fundamental Research IFT-UNESP
