The non-abelian open superstring effective action through order ${\alpha }^{\prime }{}^3$

Abstract

Using the method developed in {\tt hep-th/0103015}, we determine the non-abelian Born-Infeld action through $\mathcal{O}({\alpha }^{\prime }{}^3)$. We start from solutions to a Yang-Mills theory which define a stable holomorphic vector bundle. Subsequently we investigate its deformation away from this limit. Through $\mathcal{O}({\alpha }^{\prime }{}^2)$, a unique, modulo field redefinitions, solution emerges. At $\mathcal{O}({\alpha }^{\prime }{}^3)$ we find a one-parameter family of allowed deformations. The presence of derivative terms turns out to be essential. Finally, we present a detailed comparison of our results to existing, partial results.

LaTeX, 29 pages; references added, typos corrected, following suggestions of referee: title, introduction and conclusions altered

References in corpus (2)

• Higher-Derivative Corrections to the Non-Abelian Born-Infeld Action
• F^5 contributions to the nonabelian Born Infeld action from a supersymmetric Yang-Mills five-point function

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