d=3 bosonic vector models coupled to Chern-Simons gauge theories

We study three dimensional O(N)(k) and U(N)(k) Chern-Simons theories coupled to a scalar field in the fundamental representation, in the large N limit. For in finite k this is just the singlet sector of the O (N) (U(N)) vector model, which is conjectured to be dual to Vasiliev's higher spin gravity theory on AdS(4). For large k and N we obtain a parity-breaking deformation of this theory, controlled by the 't Hooft coupling lambda = 4 pi N/k. For infinite N we argue (and show explicitly at two-loop order) that the theories with finite lambda are conformally invariant, and also have an exactly marginal (phi(2))(3) deformation. For large but finite N and small 't Hooft coupling lambda, we show that there is still a line of fixed points parameterized by the 't Hooft coupling lambda. We show that, at in finite N, the interacting non-parity-invariant theory with finite lambda has the same spectrum of primary operators as the free theory, consisting of an in finite tower of conserved higher-spin currents and a scalar operator with scaling dimension Delta = 1; however, the correlation functions of these operators do depend on lambda. Our results suggest that there should exist a family of higher spin gravity theories, parameterized by lambda, and continuously connected to Vasiliev's theory. For finite N the higher spin currents are not conserved.