Higher-spin currents in the Gross-Neveu model at $1/n^2$

TL;DR

This paper computes the anomalous dimensions of higher-spin currents in the Gross-Neveu model at order 1/n^2, supporting the conjecture of its duality to a higher-spin gauge theory in AdS4.

Contribution

It provides the explicit calculation of higher-spin current anomalous dimensions at 1/n^2 order, advancing understanding of the model's duality with higher-spin theories.

Findings

Anomalous dimensions of singlet and non-singlet currents calculated at 1/n^2.

Results support the AdS/CFT duality between the Gross-Neveu model and higher-spin gauge theories.

Conjecture about the duality is reinforced by the scaling dimension and mass correspondence.

Abstract

We calculate the anomalous dimensions of higher-spin currents, both singlet and non-singlet, in the Gross-Neveu model at the $1/n^2$ order. It was conjectured that in the critical regime this model is dual to a higher-spin gauge theory on $AdS_4$. 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.