  Effective superpotentials obtained by integrating out matter in super
Yang-Mills and conformal supergravity backgrounds in N=1 SUSY theories are
considered. The pure gauge and supergravity contributions (generalizing
Veneziano-Yankielowicz terms) are derived by considering the case with matter
fields in the fundamental representation of the gauge group. These
contributions represent quantum corrections to the tree-level Yang-Mills and
conformal supergravity actions. The classical equations of motion following
from the conformal supergravity action require the background to be
(super)conformally flat. This condition is unchanged by quantum corrections to
the effective superpotential, irrespective of the matter content of the theory.
