Scalar CFTs and their large N limits

• Main Authors: Junchen Rong, Ning Su
• Format: Article
• Language: English
• Published: SpringerOpen 2018-09-01
• Series: Journal of High Energy Physics
• Subjects: Conformal Field Theory; Renormalization Group
• Online Access: http://link.springer.com/article/10.1007/JHEP09(2018)103

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 W3 $$ {\mathcal{W}}_3 $$ algebra saturate the numerical bootstrap bounds of CFTs with S 3 symmetry.