Non-Abelian Born-Infeld action, geometry and supersymmetry

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.

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

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Cited by in corpus (5)

• New non-Abelian black hole solutions in Born-Infeld gravity
• Non-Abelian Born-Infeld action, geometry and supersymmetry
• Electrified BPS Giants: BPS configurations on Giant Gravitons with Static Electric Field
• Considerations on anomalous photon and Z-boson self-couplings from the Born-Infeld weak hypercharge action
• Charge without charge, regular spherically symmetric solutions and the Einstein-Born-Infeld theory