The construction of perturbative loop corrections to AdS_5 supergravity amplitudes goes hand in hand with understanding the double-trace spectrum of planar N=4 super Yang-Mills. I will discuss the spectrum of double-trace operators at strong coupling, the computation of their anomalous dimensions and an observed degeneracy in the spectrum. Following the recent paper of [CaronHuot-Trinh'18], I will discuss how this degeneracy is explained by an unexpected 10 dimensional conformal symmetry of supergravity tree-level amplitudes. Slides can be found here.