Hooft coupling decreases, curvature corrections become important and the uncorrected supergravity can no longer be trusted. The uncorrected supergravity [*does not*]{} correctly describe the large $N$ [*perturbative*]{} field theory. We would like to determine wether the uncorrected supergravity is a valid description for the perturbative field theory living on the probe, which is a different question. The simplest way to asses the validity of the supergravity description is simply to compute the square of the Ricci tensor. This calculation should be carried out in string frame because we are interested in the region in which the dilaton is going to zero. We will show both the Einstein and string frame results in what follows. In the large $|a|$ region the Einstein frame metric that we have computed above takes the form

$$g_{MN}^{(e)}dx^{M}dx^{N}={\sqrt{N}\over\lambda}\Big(a\bar{a}\log|a|
\eta_{\mu\nu}dx^{\mu}dx^{\nu}
+{1\over a\bar{a}\log |a|}\Big(\delta_{ij}dx^{\prime i}dx^{\prime j}
+\lambda\log|a| dad\bar{a}\Big)\Big),$$

where we have rescaled $x^{i}\to x^{\prime i}$ where $x'=x\lambda/\sqrt{N}$. The corresponding string frame metric is

$$g_{MN}^{(s)}dx^{M}dx^{N}={1\over\sqrt{\lambda}}
\Big(a\bar{a}(\log|a|)^{1/2}
\eta_{\mu\nu}dx^{\mu}dx^{\nu}
+{1\over a\bar{a}(\log |a|)^{3/2}}\Big(\delta_{ij}dx^{\prime i}dx^{\prime j}
+\log|a|\lambda dad\bar{a}\Big)\Big).$$

The leading contribution to the square of the Ricci tensor in the Einstein frame is a constant

$$R_{MN}R^{MN}={32\over N}.$$

In the string frame, the leading contribution to the square of the Ricci tensor diverges logarithmically 