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 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.

arXiv comment47 pages, v2: minor typos fixed

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• The spectrum of marginally-deformed $\mathcal{N}=2$ CFTs with AdS${}_4$ S-fold duals of type IIB
• Supersymmetric spectroscopy on AdS${}_4\times S^7$ and AdS${}_4\times S^6$
• Kaluza-Klein Spectrometry beyond Consistent Truncations: The Squashed $S^7$
• Consistent truncations in higher derivative supergravity
• On generalised D1-D5 near horizons and their spectra
• Holographic RG flows and boundary conditions in a 3D gauged supergravity
• On the Superconformal Index of Chern-Simons theories and their KK Spectrometry
• Separability in Consistent Truncations
• $\mathcal{N}=1$ S-fold spectroscopy