Perturbations of W ∞ CFTs

The holographic duals of higher spin theories on AdS3 are described by the large N limit of a family of minimal model CFTs, whose symmetry algebra is equivalent to W ∞[λ]. We study perturbations of these limit theories, and show that they possess a marginal symmetry-preserving perturbation that describes switching on the 1N corrections. We also test our general results for the specific cases of λ = 0, 1, where free field realisations are available.ISSN:1126-6708ISSN:1029-847