Perturbations of W(infinity) CFTs

TL;DR

This paper investigates perturbations of W(infinity)[lambda] conformal field theories, revealing a marginal symmetry-preserving perturbation that encodes 1/N corrections, with tests on specific lambda cases.

Contribution

It identifies a universal marginal perturbation in W(infinity)[lambda] CFTs that captures 1/N effects, enhancing understanding of their holographic duals.

Findings

Existence of a marginal symmetry-preserving perturbation

Perturbation describes switching on 1/N corrections

Validation for lambda=0,1 cases with free field realizations

Abstract

The holographic duals of higher spin theories on AdS_3 are described by the large N limit of a family of minimal model CFTs, whose symmetry algebra is equivalent to W(infinity)[lambda]. We study perturbations of these limit theories, and show that they possess a marginal symmetry-preserving perturbation that describes switching on the 1/N corrections. We also test our general results for the specific cases of lambda=0,1, where free field realisations are available.