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Higher-derivative corrections to the non-Abelian Born–Infeld action

2001/06/07 by Adel Bilal · 1 citation
Mathematics · Physics and Astronomy · #Abelian group #Action (physics) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Derivative (finance) #Economics #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum electrodynamics #Quantum mechanics #hep-th

paper · pdf · doi:10.1016/s0550-3213(01)00472-2

published as Nucl.Phys.B618:21-49,2001 · 26 pages, 2 eps figures, Latex

arxiv created 2001/06/07 · openalex publication_date 2001/12/01 · arxiv updated 2014/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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 F6 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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