Abstract
We provide a non-trivial check of the AdS4/CFT3 correspondence recently proposed in [1] by verifying the GKPW relation in the large N limit. The CFT free energy is obtained from the previous works [2, 3] on the S 3 partition function for 3-dimensional N =4SCFTT[SU(N)]. ThisismatchedwiththecomputationofthetypeIIBactionon the corresponding gravity background. We unexpectedly find that the leading behavior of the free energy at large N is . We also extend our results to richer [SU (N )] theories and argue that ln N is the maximal free energy at large N in this class of gauge theories.