  We reconsider critical properties of O(N) scalar models with cubic
interactions in $d>4$ dimensions using functional renormalization group
equations. Working at next-to-leading order in the derivative expansion, we
find non-trivial IR fixed points at small and intermediate N from beta
functions for relevant cubic terms. The putative fixed point at large N
suggested recently by higher spin holography and the epsilon-expansion is also
discussed, with an emphasis on stability of the effective potential.
