Spin-2 Universal Minimal Solutions on Type IIA and IIB Supergravity

In this paper, we consider the spin-2 field perturbations of four families of supergravity solutions. These include AdS${}_5$ and AdS${}_7$ backgrounds of type IIA as well as AdS${}_4$ and AdS${}_6$ backgrounds of Type IIB. As the main result, we show that, in all the cases, there is a solution given by a combination of the warp factors. We also find the respective mass spectra. We analyze the normalizability of the solutions and identify the superconformal multiplets dual to them.