The Uniqueness of the Abelian Born-Infeld Action

Details The Uniqueness of the Abelian Born-Infeld Action The Uniqueness of the Abelian Born-Infeld Action

2001-03-02

arxiv.org/abs/hep-th/0103015v1

Nucl.Phys. B603 (2001) 413-426

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 1 figure, LaTeX

Scientific paper

10.1016/S0550-3213(01)00166-3

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.

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