A supersymmetric and smooth compactification of M-theory to AdS5

We obtain smooth M-theory solutions whose geometry is a warped product of AdS5 and a compact internal space that can be viewed as an S 4 bundle over S2. The bundle can be trivial or twisted, depending on the even or odd values of the two diagonal monopole charges. The solution preserves N = 2 supersymmetry and is dual to an N = 1, D = 4 superconformal field theory, providing a concrete framework to study the AdS5/CFT4 correspondence in M-theory. We construct analogous embeddings of AdS4, AdS3 and AdS2 in massive type IIA, type IIB and M-theory, respectively. The internal spaces have generalized holonomy and can be viewed as Sn bundles over S 2 for n = 4, 5 and 7. Surprisingly, the dimensions of spaces with generalized holonomy includes D = 9. We also obtain a large class of solutions of AdS x H2. © 2003 Published by Elsevier B.V.SCOPUS: ar.j