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We study the unitary supermultiplets of the N = 8 d = 5 anti-de Sitter (AdS) superalgebra SU(2, 2 4) which is the symmetry algebra of the IIB string theory on AdS 5 x S 5 . We give a complete classification of the doubleton supermultiplets of SU(2, 2 4) which do not have a Poincare limit and correspond to d = 4 conformal field theories (CFT) living on the boundary of AdS 5 ...
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