The non-abelian Born-Infeld action at order F^6

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX, 31 pages, 30 figures

Scientific paper

10.1016/S0550-3213(01)00104-3

To gain insight into the non-abelian Born-Infeld (NBI) action, we study coinciding D-branes wrapped on tori, and turn on magnetic fields on their worldvolume. We then compare predictions for the spectrum of open strings stretching between these D-branes, from perturbative string theory and from the effective NBI action. Under some plausible assumptions, we find corrections to the Str-prescription for the NBI action at order F^6. In the process we give a way to classify terms in the NBI action that can be written in terms of field strengths only, in terms of permutation group theory.

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