The Uniqueness of the Abelian Born-Infeld Action

Abstract

Starting from BPS solutions to Yang-Mills which define a stable holomorphic vector bundle, we investigate its deformations. Assuming slowly varying fieldstrengths, we find in the abelian case a unique deformation given by the abelian Born-Infeld action. We obtain the deformed Donaldson-Uhlenbeck-Yau stability condition to all orders in alpha'. This result provides strong evidence supporting the claim that the only supersymmetric deformation of the abelian d=10 supersymmetric Yang-Mills action is the Born-Infeld action.

arXiv comment18 pages, 1 figure, LaTeX

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Cited by in corpus (19)

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• Kappa-symmetric non-abelian Born-Infeld actions in three dimensions
• Quasinormal modes, shadow and thermodynamics of black holes coupled with nonlinear electrodynamics and cloud of strings
• Higher order contributions to the effective action of N=4 super Yang-Mills
• 4-point effective actions in open and closed superstring theory
• Supersymmetric Born-Infeld from the D9-brane
• Higher order terms in the non-abelian D-brane effective action and magnetic background fields
• Spinorial cohomology of abelian d=10 super-Yang-Mills at alpha'^3
• Ultraviolet behavior of 6D supersymmetric Yang-Mills theories and harmonic superspace
• Abelian and Non-abelian D-brane Effective Actions
• On slowly rotating black holes and nonlinear electrodynamics
• AdS/CFT Duality and the Higgs Branch of $\mathcal{N}=2$ SYM
• Towards an Effective Action for D-Branes
• Leading low-energy effective action in $6D$, $\mathcal{N}=(1,1)$ SYM theory
• Derivative corrections to the Born-Infeld action through beta-function calculations in N=2 boundary superspace
• Interacting D2-branes in 10 dimensions and non abelian Born-Infeld theory
• Dual Vector Multiplet Coupled to Dual N=1 Supergravity in 10D