The deviation of the critical square lattice Ising model from the Ising CFT is governed by a spin-4 T^2 perturbation with coupling g = (2π^2/7N^2)(1 - e^{-8iu}), verified exactly at order 1/N^2 for multiple state families.
Cardy, Conformal Invariance; in Phase transitions and critical phenomena, v.11, edited by C
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Shaping Lattice through irrelevant perturbation: Ising model
The deviation of the critical square lattice Ising model from the Ising CFT is governed by a spin-4 T^2 perturbation with coupling g = (2π^2/7N^2)(1 - e^{-8iu}), verified exactly at order 1/N^2 for multiple state families.