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Kaluza‐Klein consistency and supersymmetric AdS solutions
Author(s) -
Gauntlett J.P.,
Colgáin E.Ó,
Varela O.
Publication year - 2008
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200810567
Subject(s) - supergravity , physics , ansatz , gauged supergravity , multiplet , higher dimensional supergravity , mathematical physics , kaluza–klein theory , dimensional reduction , killing spinor , particle physics , theoretical physics , supersymmetry , quantum mechanics , spectral line
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.