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A broad class of holographic duals for 4d $\mathcal N=2$ SCFTs is based onthe general half-BPS $AdS_5$ solutions to M-theory constructed by Lin, Luninand Maldacena, and their Kaluza-Klein reductions to Type IIA. We derive theequations governing spin 2 fluctuations around these solutions. The resultingpartial differential equations admit families of universal solutions which areconstructed 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.

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