  We use a compatibility between the conformal symmetry and the equations of
motion to solve the one-point function in the critical $\phi^3$-theory (a.k.a
the critical Lee-Yang model) on the $d = 6 - \epsilon$ dimensional real
projective space to the first non-trivial order in the $\epsilon$-expansion. It
reproduces the conventional perturbation theory and agrees with the numerical
conformal bootstrap result.
