The divergence structure of supergravity has long been a topic of concern
because of the theory's non-renormalizability. In the context of string theory,
where perturbative finiteness should be achieved, the supergravity counterterm
structures remain nonetheless of importance because they still occur, albeit
with finite coefficients. The leading nonvanishing supergravity counterterms
have a particularly rich structure that has a bearing on the preservation of
supersymmetry in string vacua in the presence of perturbative string
corrections. Although the holonomy of such manifolds is deformed by the
corrections, a Killing spinor structure nevertheless can persist. The
integrability conditions for the existence of such Killing spinors remarkably
remain consistent with the perturbed effective field equations.