dimensions, and then compute the resulting scalar integral in $d=3-\epsilon$ dimensions. This method, known as dimensional reduction [@Siegel:1979wq], has been shown in [@Chen:1992ee] to preserve gauge-invariance in this theory at least up to two-loop order.

Conformal Symmetry {#confSym}
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In this section we analyze the conditions under which the theory defined by is conformal, both for finite and for infinite $N$. The Chern-Simons level $k$ is quantized to be an integer and is therefore not renormalized, except perhaps by an integer shift at one-loop order; this has been verified explicitly in [@Chen:1992ee]. The corresponding one-loop shift in $\lambda$ is of order $1/N$ in the ’t Hooft large-$N$ limit that we study here, so we will ignore it. However, the classically-marginal $\lambda_6$ coupling may receive corrections.[^2] In order to check for conformal fixed points we need to compute its beta function $\beta_{\lambda_6}(\lambda,\lambda_6)$, and show that it vanishes. In section \[2loop\] we compute this beta function at the first non-trivial order, by computing the divergent contributions to the amputated correlator $$\begin{aligned}
\label{sixpoint}
  \left< \phi^{i_1}(x_1) \cdots \phi^{i_6}(x_6) \right>_{\mathrm{amp.}} {\,.}\end{aligned}$$ We might expect that solving $\beta_{\lambda_6}(\lambda,\lambda_6)=0$ would result in a line of fixed points in the $(\lambda,\lambda_6)$ plane. For large and finite $N$ we 