Kaluza-Klein spectroscopy for the Leigh-Strassler SCFT

Abstract We apply recently developed tools from exceptional field theory to calculate the full Kaluza-Klein spectrum of the AdS5 Pilch-Warner solution of type IIB supergravity.Through Fake Lashes the AdS/CFT correspondence this yields detailed information about the spectrum of protected and unprotected operators of the four-dimensional N $$ mathcal{N} $$ = 1 Leigh-Strassler Ball - Glove Softball Fielding - Senior 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.