KK Spectroscopy of Type IIB Supergravity on AdS_5 x T^{11}

TL;DR

This paper computes the Kaluza-Klein mass spectrum of Type IIB Supergravity on AdS_5 x T^{11}, revealing detailed supermultiplet structures and topological features relevant for AdS/CFT correspondence in N=1 SCFTs.

Contribution

It provides a comprehensive calculation of the KK spectrum on T^{11}, illustrating the organization into supermultiplets and highlighting topological modes, advancing the understanding of supergravity compactifications.

Findings

KK states form SU(2,2|1) supermultiplets

Presence of topological modes from non-trivial 3-cycles

Betti vector multiplet linked to baryonic symmetry

Abstract

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)xSU(2)/U(1), that has recently lead to both stringent tests and interesting predictions on the AdS_5/CFT_4 correspondence for N=1 SCFT's (hep-th/9905226). We exhaustively explain 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 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 T^{11} 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 AdS_4/CFT_3 map.