Non-Abelian Born-Infeld action, geometry and supersymmetry

Details Non-Abelian Born-Infeld action, geometry and supersymmetry Non-Abelian Born-Infeld action, geometry and supersymmetry

2006-06-09

arxiv.org/abs/hep-th/0606079v1

Class.Quant.Grav. 22 (2005) 4987-5004

Physics

High Energy Physics

High Energy Physics - Theory

In memory of my professors Anatoly I. Pashnev and Constantino Ferro-Fontan. Full version and figures in journal

Scientific paper

10.1088/0264-9381/22/23/005

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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