Non-Abelian Born–Infeld action, geometry and supersymmetry

DIEGO JULIO CIRILO-LOMBARDO

CLASSICAL AND QUANTUM GRAVITY

IOP PUBLISHING LTD

Año: 2005 p. 4987 - 5004

0264-9381

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, which permits us to compute the generalized volume element as a linear combination of the components of metric and the Yang–Mills energy–momentum tensors. Under the BPS-like condition, the action proposed reduces to that of the Yang–Mills theory, independently of the gauge group. New instanton-wormhole solution and static and spherically symmetric solution in curved spacetime for an SU(2) isotopic ansatz are solved and the N= 1 supersymmetric extension of the model is performed.