Higher-spin currents in the Gross-Neveu model at 1/n2

Abstract

We calculate the anomalous dimensions of higher-spin currents, both singlet and non-singlet, in the Gross-Neveu model at the 1/n2 order. It was conjectured that in the critical regime this model is dual to a higher-spin gauge theory on AdS4. The AdS/CFT correspondence predicts that the masses of higher-spin fields correspond to the scaling dimensions of the singlet currents in the Gross-Neveu model.