I will discuss recent progress in our ability to compute the Kaluza-Klein spectrum through the utilization of Exceptional Field Theory (ExFT). To provide a comprehensive understanding of our findings, I will start with an overview of ExFT, which is necessary for comprehending the outcomes we have achieved. This encompasses our ability to compute spectra that goes beyond consistent truncations, as exemplified by our work on 11D supergravity within the AdS4 × S7 background, where S7 represents a squashed sphere. Additionally, I will demonstrate how ExFT techniques can be expanded to investigate not only spectra but also the cubic and higher order couplings within supergravity theories.
