N=2 and N=4 supersymmetric Born-Infeld theories from nonlinear realizations

Details N=2 and N=4 supersymmetric Born-Infeld theories from nonlinear realizations N=2 and N=4 supersymmetric Born-Infeld theories from nonlinear realizations

2000-12-25

arxiv.org/abs/hep-th/0012236v1

Phys.Lett. B502 (2001) 279-290

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, LaTeX, no figures

Scientific paper

10.1016/S0370-2693(01)00142-3

Starting from nonlinear realizations of the partially broken central-charge extended N=4 and N=8 Poincar\'e supersymmetries in D=4, we derive the superfield equations of N=2 and N=4 Born-Infeld theories. The basic objects are the bosonic Goldstone N=2 and N=4 superfields associated with the central charge generators. By construction, the equations are manifestly N=2 and N=4 supersymmetric and enjoy covariance under another nonlinearly realized half of the original supersymmetries. They provide a manifestly worldvolume supersymmetric static-gauge description of D3-branes in D=6 and D=10. For the N=2 case we find, to lowest orders, the equivalence transformation to the standard N=2 Maxwell superfield strength and restore, up to the sixth order, the off-shell N=2 Born-Infeld action with the second hidden N=2 supersymmetry.

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