  In this work, we use the thermodynamically consistent and conserving
self-energy embedding theory (SEET) to study the spectra of the prototypical
undistorted cubic perovskites SrVO$_3$ and SrMnO$_3$. In the strongly
correlated metallic SrVO$_3$ we find that the usual attribution of the
satellite peaks at -1.8eV to Hund or Hubbard physics in the $t_{2g}$ orbitals
is inconsistent with our calculations. In the strongly correlated insulator
SrMnO$_3$ we recover insulating behavior due to a feedback effect between the
strongly correlated orbitals and the weakly correlated environment. Our
calculation shows a systematic convergence of spectral features as the space of
strongly correlated orbitals is enlarged, paving the way to a systematic
parameter free study of correlated perovskites.
