  By studying the effect of the order(\alpha'^3) string theory corrections to
type IIB supergravity, including those corrections involving the Ramond-Ramond
five-form field strength, we obtain the corrected equations of motion of an
Abelian perturbation of the AdS_5-Schwarzschild black hole. We then use the
gauge theory/string theory duality to examine the coupling-constant dependence
of vector current correlators associated to a gauged U(1) sub-group of the
global R-symmetry group of strongly-coupled N=4 supersymmetric Yang-Mills
theory at finite temperature. The corrections induce a set of higher-derivative
operators for the U(1) gauge field, but their effect is highly suppressed. We
thus find that the order(\alpha'^3) corrections affect the vector correlators
only indirectly, through the corrected metric. We apply our results to
investigate scattering off a supersymmetric Yang-Mills plasma at low and high
energy. In the latter regime, where Deep Inelastic Scattering is expected to
occur, we find an enhancement of the plasma structure functions in comparison
with the infinite 't Hooft coupling result.
