Asymptotic safety in O(N) scalar models coupled to gravity

We extend recent results on scalar-tensor theories to the case of an O( N)-invariant multiplet. Some exact fixed point solutions of the RG flow equations are discussed. We find that also in the functional context, on employing a standard "type-I" cutoff, too many scalars destroy the gravitational fixed point. For d= 3 we show the existence of the gravitationally dressed Wilson-Fisher fixed point also for N> 1. We discuss also the results of the analysis for a different, scalar-free, coarse-graining scheme. © 2015 The Authors.