Limits of the D-brane action

For background geometries whose metric contain a scale $γ$ we reformulate the Born-Infeld D-brane action in terms of $ε\equiv γ/(2πα')$. This may be taken as a starting point for various perturbative treatments of the theory. We study two limits that arise at zeroth order of such perturbations. In the first limit, that corresponds to the $g_s\to\infty$ with $ε$ fix, we find a "string parton" picture, also in the presense of some background RR-fields. In the second limit, $ε\to 0$, we find a topological model.

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