Interpolating from AdS_(D-2) X S^2 to AdS_D

Details Interpolating from AdS_(D-2) X S^2 to AdS_D Interpolating from AdS_(D-2) X S^2 to AdS_D

2003-04-03

arxiv.org/abs/hep-th/0304022v2

Nucl.Phys.B677:181-222,2004

Physics

High Energy Physics

High Energy Physics - Theory

Latex three times, 49 pages, 9 figures

Scientific paper

10.1016/j.nuclphysb.2003.10.041

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}\times \Omega^2 (where \Omega^2=S^2 or H^2) in the horizon and AdS_D-type geometry in the asymptotic region, for 4\le D\le 7. The boundary geometry of the AdS_D-type metric is Minkowski_{D-3}\times \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}\times \Omega^2 but singular at small distance. This implies that the stationary AdS_{D-2}\times \Omega^2 solutions typically lie on the inflection points of the modulus space.

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