Kaluza-Klein consistency and supersymmetric AdS solutions

✍ Scribed by J.P. Gauntlett; E.Ó Colgáin; O. Varela

• Book ID: 105357723
• Publisher: John Wiley and Sons
• Year: 2008
• Tongue: English
• Weight: 161 KB
• Volume: 56
• Category: Article
• ISSN: 0015-8208
• DOI: 10.1002/prop.200810567

✦ Synopsis

Abstract

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 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.