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Non-Abelian Born-Infeld action, geometry and supersymmetry

Diego Julio Cirilo-Lombardo
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Abstract

In this work, we propose a new non-abelian generalization of the Born- Infeld lagrangian. It is based on a geometrical property of the abelian Born-Infeld lagrangian in its determinantal form. Our goal is to extend the abelian second type Born-Infeld action to the non-abelian form preserving this geometrical property, that permits to compute the generalized volume element as a linear combination of the components of metric and the Yang-Mills energy-momentum tensors. Under BPS-like condition, the action proposed reduces to that of Yang-Mills theory, independently of the gauge group. New instanton-wormhole solution and static and spherically symmetric solution in curved space-time for a SU(2) isotopic ansatz is solved and the N=1 supersymmetric extension of the model is performed.

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Diego Julio Cirilo-Lombardo. 2006-06-09. Non-Abelian Born-Infeld action, geometry and supersymmetry. https://doi.org/10.1088/0264-9381%2F22%2F23%2F005

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