Abstract
The Chern–Simons coupling on D-branes in string theory is known to receive higher derivative corrections which include the curvature tensor and the Neveu–Schwarz B-field. We find some curvature couplings of D-branes to closed string fields by evaluating string theory disc amplitudes of one Ramond–Ramond field C(p+1) and two gravitons in the presence of a single Dp-brane in type II string theory.
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