SUPERGRAVITY COUPLED TO CHIRAL MATTER AT ONE-LOOP

We extend earlier calculations of the one-loop contributions to the ef fective Bose Lagrangian in supergravity coupled to chiral matter. We e valuate all logarithmically divergent contributions for arbitrary back ground scalar fields and space-time metrics. We show that, with a judi cious choice of gauge fixing and of the definition of the action expan sion, much of the result can be absorbed into a redefinition of the me tric and a renormalization of the Kahler potential. Most of the remain ing terms depend on the curvature of the Kahler metric. Further simpli fication occurs in models obtained from superstrings in which the Kahl er Riemann tensor is covariantly constant.