Anomalous dimensions of higher spin currents in large N CFTs

Understand

We examine anomalous dimensions of higher spin currents in the critical O(N) scalar model and the Gross-Neveu model in arbitrary d dimensions.

• These two models are proposed to be dual to the type A and type B Vasiliev theories, respectively.
• We reproduce the known results on the anomalous dimensions to the leading order in 1/N by using conformal perturbation theory.
• This work can be regarded as an extension of previous work on the critical O(N) scalars in 3 dimensions, where it was shown that the bulk computation for the masses of higher spin fields on AdS_4 can be mapped to the boundary one in conformal perturbation theory.