On $(α')^2$ corrections to the D-brane action for non-geodesic world-volume embeddings

Details On $(α')^2$ corrections to the D-brane action for non-geodesic world-volume embeddings On $(α')^2$ corrections to the D-brane action for non-geodesic world-volume embeddings

2001-04-17

arxiv.org/abs/hep-th/0104146v2

JHEP 0109:005,2001

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, LaTeX, 4 Postscript figures, expanded introduction and conclusions, typos corrected, references added, final version

Scientific paper

10.1088/1126-6708/2001/09/005

In hep-th/9903210 (curvature)$^2$ terms of the effective D-brane action were derived to lowest order in the string coupling. Their results are correct up to ambiguous terms which involve the second fundamental form of the D-brane. We compute five point string amplitudes on the disk. We compare the subleading order in $\alpha'$ of the string amplitudes with the proposed lagrangian of hep-th/9903210 supplemented by the ambiguous terms. The comparison determines the complete form of the gravitational terms in the effective D-brane action to order ${\calO}(\alpha^{' 2})$. Our results are valid for arbitrary ambient geometries and world-volume embeddings.

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