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The Uniqueness of the Abelian Born-Infeld Action

Lies De Fosse·Paul Koerber·Alexander Sevrin
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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.

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Lies De Fosse, Paul Koerber, Alexander Sevrin. 2001-03-02. The Uniqueness of the Abelian Born-Infeld Action. https://doi.org/10.1016/s0550-3213(01)00166-3

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