Operator product expansions and consistency relations in a O(N) invariant fermionic CFT for 2 < d < 4

A conformally invariant theory of Majorana fermions in 2 < d < 4 with O(N) symmetry is studied using Operator Product Expansions and consistency relations based on the cancelation of shadow singularities. The critical coupling G∗ of the theory is calculated to leading order in 1N. This value is then used to reproduce the O(1N) correction for the anomalous dimension of the fermion field as evidence for the validity of our approach to conformal field theory in d > 2.