𝜖-expansion in critical ϕ3-theory on real projective space from conformal field theory

Abstract

We use a compatibility between the conformal symmetry and the equations of motion to solve the one-point function in the critical [Formula: see text]-theory (a.k.a. the critical Lee–Yang model) on the [Formula: see text] dimensional real projective space to the first nontrivial order in the [Formula: see text]-expansion. It reproduces the conventional perturbation theory and agrees with the numerical conformal bootstrap result.