Interpolating from AdSD-2 x S2 to AdSD

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 AdS(D-2) x Omega(2) (where Omega(2) = S-2 or H-2) at the horizon and AdS(D)-type geometry in the asymptotic region, for 4 less than or equal to D less than or equal to 7. The boundary geometry of the AdS(D)-type metric is Minkowski(D-3) x Omega(2). 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 AdS(D-2) x Omega(2) but singular at small distance. This implies that the stationary AdS(D-2) x Omega(2) solutions typically lie on the inflection points of the modulus space. (C) 2003 Elsevier B.V. All rights reserved.