Higher-Derivative Corrections to the Non-Abelian Born-Infeld Action

Details Higher-Derivative Corrections to the Non-Abelian Born-Infeld Action Higher-Derivative Corrections to the Non-Abelian Born-Infeld Action

2001-06-07

arxiv.org/abs/hep-th/0106062v1

Nucl.Phys. B618 (2001) 21-49

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, 2 eps figures, Latex

Scientific paper

10.1016/S0550-3213(01)00472-2

We determine higher-derivative terms in the open superstring effective action with U(N) gauge group up to and including order alpha'^4 as can be extracted from 4 boson, 2 boson - 2 fermion and 4 fermion string scattering amplitudes. This yields corrections to the non-abelian Born-Infeld action involving higher derivatives as is relevant for studying D-branes beyond the slowly varying field approximation. While at order alpha'^2 the action has recently been shown to be a symmetrised trace, this no longer is true at order alpha'^3 or alpha'^4. We argue that these terms including higher derivatives are as important in a low-energy expansion as e.g. the much-discussed alpha'^4 F^6 terms. In particular a computation of the fluctuation spectra at order alpha'^4 has to take into account these non-symmetrised trace higher-derivative terms computed here.

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