  We study the large $N$ limit of $O(N)$ scalar field theory with classically
marginal $\phi^6$ interaction in three dimensions in the presence of a planar
boundary. This theory has an approximate conformal invariance at large $N$. We
find different phases of the theory corresponding to different boundary
conditions for the scalar field. Computing a one loop effective potential, we
examine the stability of these different phases. The potential also allows us
to determine a boundary anomaly coefficient in the trace of the stress tensor.
We further compute the current and stress-tensor two point functions for the
Dirichlet case and decompose them into boundary and bulk conformal blocks. The
boundary limit of the stress tensor two point function allows us to compute the
other boundary anomaly coefficient. Both anomaly coefficients depend on the
approximately marginal $\phi^6$ coupling.
