Abstract
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 S
N
⊗ Z
2 symmetry, we find a series of kinks whose locations approach (Δ
σ
Ising
, 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
$$ {\mathcal{W}}_3 $$
W
3
algebra saturate the numerical bootstrap bounds of CFTs with S
3 symmetry.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
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