KK spectroscopy of type IIB supergravity on AdS5 × T11

Abstract

We give full details for the computation of the Kaluza-Klein mass spectrum of type IIB Supergravity on AdS5 × T11, with T11 = SU(2) × SU(2)/U(1), that has recently lead to both stringent tests and interesting predictions on the AdS5/CFT4 correspondence for N = 1 SCFT's [1]. We exhaustively explain how KK states arrange into SU(2, 2|1) supermultiplets, and stress some relevant features of the T11 manifold, such as the presence of topological modes in the spectrum originating from the existence of non-trivial 3-cycles. The corresponding Betti vector multiplet is responsible for the extra baryonic symmetry in the boundary CFT. More generally, we use the simple T11 coset as a laboratory to revive the technique and show the power of KK harmonic expansion, in view of the present attempts to probe along the same lines also M-theory compactifications and the AdS4/CFT3 map.