$\lambda$ and by $\lambda_6$. For large but finite $N$ we show that a beta function for $\lambda_6$ is generated, but that (at least) for small $\lambda$ this beta function still has an IR-stable fixed point, so that there still exists a one-parameter family of conformal field theories, parameterized by $\lambda$. Note that while $\lambda$ is a discrete parameter for finite $N$, it is almost continuous when $N$ is very large.

In section \[HScurrents\] we analyze the spectrum of the large $N$ family of conformal field theories that we find, and show that it is independent of $\lambda$ (and thus identical to that of the free theory with $\lambda=0$). In particular, conserved higher-spin currents still exist for infinite $N$ and any $\lambda$, though the corresponding symmetries are broken for finite $N$. Such an appearance of an infinite number of conserved currents in an interacting theory is quite surprising, and this could lead one to suspect that the theories we discuss may be independent of $\lambda$ in the large $N$ limit. In section \[conjecture\] we show that this is not the case, by computing a correlation function in these theories at leading order in $\lambda$ (in the large $N$ limit) and showing 