A theory of gravity with a generic action functional and minimally coupled to
N matter fields has a nontrivial fixed point in the leading large N
approximation. At this fixed point, the cosmological constant and Newton's
constant are nonzero and UV relevant; the curvature squared terms are
asymptotically free with marginal behaviour; all higher order terms are
irrelevant and can be set to zero by a suitable choice of cutoff function.Comment: LaTEX, 4 pages. Relative to the published paper, a sign has been
corrected in equations (17) and (18