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We investigate the ten dimensional origin of six dimensional F_4 variantsupergravity with supersymmetric de Sitter background. We address first theissue of spontaneous compactification, showing that it consists of a warpedcompactification on a four sphere of a variant massive type IIA supergravity.Moreover we illustrate how the known D4-D8 brane solution, whose near horizongeometry yields AdS_6 x S^4, is accordingly modified to a system includingEuclidean branes. Finally, we discuss the relation between this latter solutionand the D4-D8 brane system, showing how it represents a generalisation of theDW/Cosmology correspondence.

Domain Wall/Cosmology correspondence in (AdS/dS)_6 x S^4 geometries