Getting the D-brane effective action from BPS configurations
arXiv:hep-th/0112210 · doi:10.1002/1521-3978(200209)50:8/9<923::AID-PROP923>3.0.CO;2-Z
Abstract
We review a method to find the non-abelian open superstring effective action, thereby settling the issue of the ordering ambiguities. We start from solutions to Yang-Mills which, in D-brane context, define certain BPS configurations. Studying their deformations in the abelian case shows that the Born-Infeld action is the unique deformation which admits solutions of this type. By applying the method to the non-abelian case we calculated the full effective action through O(α'^3). The presence of derivative terms turns out to be essential. Testing the result by comparing the spectrum in the presence of a constant magnetic background field with the string theory prediction, we obtain perfect agreement.
6 pages, proceedings of the Corfu 2001 RTN meeting