Abstract
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 S4 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 S2 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×H2.
Highlights
AdS5 spacetime arises naturally in type IIB supergravity, which provides a nontrivial and relatively simple framework for examining the holographic principle via the AdS5/CFT4 correspondence [1, 2, 3]
We obtain a large class of solutions of AdS×H2
The embedding of AdS5 spacetime in eleven-dimensional supergravity has been studied in the past
Summary
AdS5 spacetime arises naturally in type IIB supergravity, which provides a nontrivial and relatively simple framework for examining the holographic principle via the AdS5/CFT4 correspondence [1, 2, 3]. A smooth but non-supersymmetric compactification of eleven-dimensional supergravity to AdS5 was obtained in [4] where the internal space is a Kahler manifold. In [7, 8], supersymmetric embeddings of AdS5 in M-theory were found as warped geometries with a compact internal metric. One can T-dualize the AdS5 × S5 of type IIB theory on the U(1) bundle of the S3 and obtain a solution in M-theory [9].
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