KK spectroscopy of type IIB supergravity on AdS(5) x T-11

We give full details for the computation of the Kaluza-Klein mass spectrum of type IIB Supergravity on AdS(5) x T-11, with T-11 = SU(2) x SU(2)/U(1), that has recently lead to both stringent tests and interesting predictions on the AdS(5)/CFT4 correspondence for N = 1 SCFT's [1]. We exhaustively exp lain how KK states arrange into SU(2; 2\1) supermultiplets, and stress some relevant features of the T-11 manifold, such as the presence of topologica l modes in the spectrum originating from the existence of non-trivial 3-cyc les. The corresponding Betti vector multiplet is responsible for the extra baryonic symmetry in the boundary CFT. More generally, we use the simple T- 11 coset as a laboratory to revive the technique and show the power of KK h armonic expansion, in view of the present attempts to probe along the same lines also M-theory compactifications and the AdS(4)/CFT3 map.