Magnetic and electric AdS solutions in string- and M-theory

The stability properties of a family of magnetic AdS3×R2 solutions of D = 5, SO(6) gauged SUGRA are investigated in more detail. We construct an analogous family of magnetic AdS2×R2 solutions of D = 4, SO(8) gauged SUGRA, including a family of supersymmetric solutions, and also investigate their stability. We construct supersymmetric domain walls that interpolate between AdS5 and an AdS3×R2 solution and also between AdS4 and an AdS2×R2 solution which provide stable zero temperature ground states for the corresponding dual CFTs. We also construct new families of electric AdS2×R3 and AdS2×R2 solutions. (paper)