Abstract
We study scalar conformal field theories whose large N spectrum is fixed by the operator dimensions of either the Ising model or the Lee-Yang edge singularity. Using the numerical bootstrap to study CFTs with SN ⊗ Z2 symmetry, we find a series of kinks whose locations approach (Δ Ising σ , Δ Ising∈ ) at N → ∞. Setting N = 4, we study the cubic anisotropic fixed point with three spin components. As byproducts of our numerical bootstrap work, we discover another series of kinks whose identification with previous known CFTs remains a mystery. We also show that “minimal models” of \( {\mathcal{W}}_3 \) algebra saturate the numerical bootstrap bounds of CFTs with S3 symmetry.
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Rong, J., Su, N. Scalar CFTs and their large N limits. J. High Energ. Phys. 2018, 103 (2018). https://doi.org/10.1007/JHEP09(2018)103
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DOI: https://doi.org/10.1007/JHEP09(2018)103