Spectrum of Type IIB Supergravity on AdS_5 x T^{11}: Predictions on N = 1 SCFT's

TL;DR

This paper computes the complete Kaluza-Klein spectrum of type IIB supergravity on AdS_5 x T^{11} and tests the AdS/CFT correspondence by matching supergravity multiplets with boundary operators, predicting new long multiplets with rational dimensions.

Contribution

It provides the full supergravity spectrum on AdS_5 x T^{11} and refines the AdS/CFT test by analyzing multiplet shortenings and predicting long multiplets with rational dimensions.

Findings

Full Kaluza-Klein spectrum derived

Matching of supermultiplets with boundary operators confirmed

Predicted new long multiplets with rational dimensions

Abstract

We derive the full Kaluza-Klein spectrum of type IIB supergravity compactified on AdS_5 x T^{11} with T^{11} = (SU(2) x SU(2))/U(1). From the knowledge of the spectrum and general multiplet shortening conditions, we make a refined test of the AdS/CFT correspondence, by comparison between various shortenings of SU(2,2|1) supermultiplets on AdS_5 and different families of boundary operators with protected dimensions. Additional towers of long multiplets with rational dimensions, that are not protected by supersymmetry, are also predicted from the supergravity analysis.