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

Understand

A broad class of holographic duals for 4d $\mathcal N=2$ SCFTs is based on the general half-BPS $AdS_5$ 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.