Superconformal field theories from IIB spectroscopy on $AdS_5\times T^{11}$

TL;DR

This paper tests the AdS/CFT correspondence by analyzing the complete Kaluza-Klein spectrum of type IIB supergravity on AdS_5 x T^{11}, revealing new insights into supermultiplet structures and operator dimensions in the dual SCFT.

Contribution

It provides the first detailed spectrum analysis of supergravity on AdS_5 x T^{11} and compares supermultiplets with boundary operators, uncovering unprotected long multiplets.

Findings

Identification of supermultiplet shortening conditions.

Prediction of extra long multiplets in the SCFT.

Comparison of supergravity spectrum with boundary operator dimensions.

Abstract

We report on tests of the AdS/CFT correspondence that are made possible by complete knowledge of the Kaluza-Klein mass spectrum of type IIB supergravity on $AdS_5 \times T^{11}$ with T^{11}=SU(2)^2/U(1). After briefly discussing general multiplet shortening conditions in SU(2,2|1) and PSU(2,2|4), we compare various types of short SU(2,2|1) supermultiplets on AdS_5 and different families of boundary operators with protected dimensions. The supergravity analysis predicts the occurrence in the SCFT at leading order in N and g_s N, of extra towers of long multiplets whose dimensions are rational but not protected by supersymmetry.