Matter Coupled F(4) Supergravity and the AdS_6/CFT_5 Correspondence

R. D'Auria; S. Ferrara; S. Vaulà

doi:10.1088/1126-6708/2000/10/013

paper

Matter Coupled F(4) Supergravity and the AdS_6/CFT_5 Correspondence

arXiv:hep-th/0006107 · doi:10.1088/1126-6708/2000/10/013

Abstract

F(4) supergravity, the gauge theory of the exceptional six-dimensional Anti-de Sitter superalgebra, is coupled to an arbitrary number of vector multiplets whose scalar components parametrize the quaternionic manifold $S O (4, n) / S O (4) \times S O (n)$ . By gauging the compact subgroup $SU(2)_d \otimes \cG$, where SU(2)_d is the diagonal subgroup of $S O (4) ≃ S U (2)_{L} \otimes S U (2)_{R}$ (the R-symmetry group of six-dimensional Poincaré supergravity) and $\cG$ is a compact group such that $dim\cG = n$, we compute the scalar potential which, besides the gauge coupling constants, also depends in non trivial way on the parameter m associated to a massive 2-form $B_{μν}$ of the gravitational multiplet. The potential admits an AdS background for g=3m, as the pure F(4)-supergravity. We compute the scalar squared masses (which are all negative) and retrieve the results dictated by AdS_6/CFT_5 correspondence from the conformal dimensions of boundary operators. The boundary F(4) superconformal fields are realized in terms of a singleton superfield (hypermultiplet) in harmonic superspace with flag manifold SU(2)/U(1)=S^2. We analize the spectrum of short representations in terms of superconformal primaries and predict general features of the K-K specrum of massive type IIA supergravity compactified on warped $A d S_{6} \otimes S^{4}$ .

arXiv comment21 pages, latex, minor corrections and reference added

Matter Coupled F(4) Supergravity and the AdS_6/CFT_5 Correspondence

Abstract

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