The AdS5 superalgebra PSU(2, 2|4) has an infinite dimensional extension, which we denote by hs(2, 2|4). We show that the gauging of hs(2, 2|4) gives rise to a spectrum of physical massless fields which coincides with the symmetric tensor product of two AdS5 spin-1 doubletons (i.e. the N = 4 SYM multiplets living on the boundary of AdS5). This product decomposes into levels l = 0, 1, 2, . . . , ∞ of massless supermultiplets of PSU(2, 2|4). In particular, the D = 5, N = 8 supergravity multiplet arises at level ℓ = 0. In addition to a master gauge field, we construct a master scalar field containing the s = 0, 1/2 fields, the anti-symmetric tensor field of the gauged supergravity and its higher spin analogs. We define the linearized constraints and obtain the linearized field equations of the full spectrum, including those of D = 5, N = 8 gauged supergravity and in particular the self-duality equations for the 2-form potentials of the gauged supergravity (forming a 6-plet of SU(4)), and their higher spin cousins with s = 2, 3 , .. . , ∞.
Áreas temáticas de ASJC Scopus
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