Properties of some conformal field theories with M-theory duals

By studying classes of supersymmetric solutions of D ≤ 11 supergravity with AdS₅ factors, we determine some properties of the dual four-dimensional N ≤ 1 superconformal field theories. For some explicit solutions we calculate the central charges and also the conformal dimensions of certain chiral primary operators arising from wrapped membranes. For the most general class of solutions we show that there is a consistent Kaluza-Klein truncation to minimal D ≤ 5 gauged supergravity. This latter result allows us to study some aspects of the dual strongly coupled thermal plasma with a non-zero R-charge chemical potential and, in particular, we show that the ratio of the shear viscosity to the entropy density has the universal value of 1/4π.