Kaluza-Klein Spectroscopy for the Leigh-Strassler SCFT

TL;DR

This paper uses exceptional field theory to compute the full Kaluza-Klein spectrum of a supergravity solution, providing detailed insights into the operator spectrum of the Leigh-Strassler SCFT and confirming results via the superconformal index.

Contribution

It introduces a novel application of exceptional field theory to determine the complete Kaluza-Klein spectrum for the Pilch-Warner solution, linking supergravity and SCFT spectra.

Findings

Full Kaluza-Klein spectrum computed for the Pilch-Warner solution.

Superconformal index matches the protected operator spectrum.

Provides detailed operator spectrum of the Leigh-Strassler SCFT.

Abstract

We apply recently developed tools from exceptional field theory to calculate the full Kaluza-Klein spectrum of the AdS$_5$ Pilch-Warner solution of type IIB supergravity. Through the AdS/CFT correspondence this yields detailed information about the spectrum of protected and unprotected operators of the four-dimensional $\mathcal{N}=1$ Leigh-Strassler SCFT, in the planar limit. We also calculate explicitly the superconformal index of the SCFT in this limit and show that it agrees precisely with the spectrum of protected operators in the supergravity calculation.