Consistent Kaluza-Klein reductions and supersymmetric AdS solutions

摘要

We discuss the conjecture that for any supersymmetric solution of D = 10 or D = 11 supergravity consisting of a warped product of a d+1-dimensional of anti-de-Sitter space with a Riemannian manifold M, there is a consistent Kaluza-Klein truncation on M to a gauged supergravity theory in d+1-dimensions for which the fields are dual to those in the superconformal current multiplet of the d-dimensional dual SCFT. This means that any solution of the gauged supergravity theory can be uplifted on M to obtain an exact solution of D = 10 or D = 11 supergravity. We verify this conjecture for the most general class of supersymmetric AdS_5 solutions of D = 11 supergravity by constructing an explicit KK reduction ansatz to minimal gauged supergravity in D = 5, at the level of the bosonic fields.