Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On $(\alpha')^2$ corrections to the D-brane action for non-geodesic
  world-volume embeddings   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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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol