The S-matrix bootstrap IV: multiple amplitudes

DOI10.1007/JHEP11(2019)076zbMATH Open1429.81072arXiv1905.06905OpenAlexW2983279275WikidataQ126792843 ScholiaQ126792843MaRDI QIDQ2292492

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Publication date: 3 February 2020

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Abstract: We explore the space of consistent three-particle couplings in $mathbb{Z}_2$-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 [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 $mathbb{Z}_2$ 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.

Full work available at URL: https://arxiv.org/abs/1905.06905

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