Interpolating from AdS D−2 × S2 to AdS D

Abstract

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×Ω 2 (where Ω 2=S 2 or H 2) at the horizon and AdS D -type geometry in the asymptotic region, for 4⩽ D⩽7. The boundary geometry of the AdS D -type metric is Minkowski D−3×Ω 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×Ω 2 but singular at small distance. This implies that the stationary AdS D−2×Ω 2 solutions typically lie on the inflection points of the modulus space.