Near-flat space limit and Einstein manifolds

We study the near-flat space limit for strings on AdS5 x M5, where the internal manifold M5 is equipped with a generic metric with U(1)3 isometry. In the bosonic sector, the limiting sigma model is similar to the one found for AdS5 x S5, as the global symmetries are reduced in the most general case. When M5 is a Sasaki-Einstein space like T1,1, Yp,q and Lp,q,r, whose dual CFT's have N = 1 supersymmetry, the near-flat space limit gives the same bosonic sector of the sigma model found for AdS5 x S5. This indicates the generic presence of integrable subsectors in AdS/CFT