$\phi^3$ theory with $F_4$ flavor symmetry in $6-2\epsilon$ dimensions: 3-loop renormalization and conformal bootstrap

Understand

We consider $\phi^3$ theory in $6-2\epsilon$ with $F_4$ global symmetry.

• The beta function is calculated up to 3 loops, and a stable unitary IR fixed point is observed.
• The anomalous dimensions of operators quadratic or cubic in $\phi$ are also computed.
• We then employ conformal bootstrap technique to study the fixed point predicted from the perturbative approach.