On α′2 corrections to the D-brane action for non-geodesic world-volume embeddings | Zendy

Angelo Fotopoulos | Zendy

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On α′² corrections to the D-brane action for non-geodesic world-volume embeddings

Author(s) -

Angelo Fotopoulos

Publication year - 2001

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2001/09/005

Subject(s) - brane , physics , string (physics) , action (physics) , curvature , geodesic , effective action , order (exchange) , mathematical physics , amplitude , d brane , gravitation , string theory , theoretical physics , classical mechanics , quantum mechanics , mathematics , geometry , finance , economics

In hep-th/9903210 (curvature)$^2$ terms of the effective D-brane action werederived to lowest order in the string coupling. Their results are correct up toambiguous terms which involve the second fundamental form of the D-brane. Wecompute five point string amplitudes on the disk. We compare the subleadingorder in $\alpha'$ of the string amplitudes with the proposed lagrangian ofhep-th/9903210 supplemented by the ambiguous terms. The comparison determinesthe complete form of the gravitational terms in the effective D-brane action toorder ${\calO}(\alpha^{' 2})$. Our results are valid for arbitrary ambientgeometries and world-volume embeddings.Comment: 34 pages, LaTeX, 4 Postscript figures, expanded introduction and conclusions, typos corrected, references added, final version to appear in JHEP09(2001)00

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