Spin 2 operators in holographic 4d $\mathcal{N}=2$ SCFTs

Abstract

A broad class of holographic duals for 4d $\mathcal{N}=2$ SCFTs is based on the general half-BPS $Ad{S}_5$ solutions to M-theory constructed by Lin, Lunin and Maldacena, and their Kaluza-Klein reductions to Type IIA. We derive the equations governing spin 2 fluctuations around these solutions. The resulting partial differential equations admit families of universal solutions which are constructed entirely out of the generic data characterizing the background. This implies the existence of families of spin 2 operators in the dual SCFTs, in short superconformal multiplets which we identify.

16 pages

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Cited by in corpus (8)

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• Spin-2 excitations in Gaiotto-Maldacena solutions
• A Cubic Deformation of ABJM: The Squashed, Stretched, Warped, and Perturbed Gets Invaded
• Spin-$2$ operators in AdS${}_2$/CFT${}_1$
• Spin $2$ spectrum for marginal deformations of 4d $\mathcal{N}=2$ SCFTs
• Cheeger bounds on spin-two fields