AdS(6)/CFT5 correpondence for F(4) supergravity

F(4) supergravity, the gauge theory of the exceptional six-dimensional Anti -de Sitter superalgebra, is coupled to an arbitrary number of vector multip lets whose scalar components parametrize the quaternionic manifold SO(4, (4 )/SO(4) x SO(n). By gauging the compact subgroup SU(2)(d) circle times G, w here SU(2)(d) is the diagonal subgroup of SO(4) similar or equal to SU(2)(L ) circle times SU(2)(R) (theR-symmetry group of six-dimensional Poincare su pergravity) and G is a compact group such that dim G = n. The potential adm its an AdS background for g = 3m, as the pure F(4)-supergravity. The bounda ry F(4) superconformal fields are realized in terms of a singleton superfie ld (hypermultiplet) in harmonic superspace with flag manifold SU(2)/U(1) = S-2. We analize the spectrum of short representations in terms of superconf ormal primaries and predict general features of the K-K specrum of massive type IIA supergravity compactified on warped AdS(6) circle times S-4.