Interpolating from AdSD−2×S2 to AdSD Original Research Article

We investigate a large class of supersymmetric magnetic brane solutions supported by U(1) gauge fields in AdS gauged supergravities. We obtain first-order equations in terms of a superpotential. In particular, we find systems which interpolate between AdSD−2×Ω2 (where Ω2=S2 or H2) at the horizon and AdSD-type geometry in the asymptotic region, for 4⩽D⩽7. The boundary geometry of the AdSD-type metric is MinkowskiD−3×Ω2. This provides smooth supergravity solutions for which the boundary of the AdS spacetime compactifies spontaneously. These solutions indicate the existence of a large class of superconformal field theories in diverse dimensions whose renormalization group flow runs from the UV to the IR fixed-point. We show that the same set of first-order equations also admits solutions which are asymptotically AdSD−2×Ω2 but singular at small distance. This implies that the stationary AdSD−2×Ω2 solutions typically lie on the inflection points of the modulus space.