On gravitational couplings in D-brane action

Abstract

We compute the two closed string graviton - two open string scalar scattering amplitude on the disc to show that there is no second-derivative curvature - scalar coupling term R X^2 in the low-energy effective action of a D-brane in curved space in type II superstring theory.

15 pages, 1 figure, LaTex JHEP style; v2: reference added, typos corrected; v3: section 2 rewritten due to an error in gauge fixing, appendix added, conclusions unchanged

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