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

2000/12/25 by Stefano Bellucci, S. Bellucci, Evgeny Ivanov +2 · 3 citations
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Born–Infeld model #Central charge #Charge (physics) #Equivalence (formal languages) #Gauge (firearms) #Gauge theory #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Nonlinear system #Order (exchange) #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum mechanics #Superfield #Supersymmetry #Theoretical physics #hep-th

paper · pdf · doi:10.1016/s0370-2693(01)00142-3

published as Phys.Lett. B502 (2001) 279-290 · 14 pages, LaTeX, no figures

arxiv created 2000/12/25 · openalex publication_date 2001/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Starting from nonlinear realizations of the partially broken central-charge extended N=4 and N=8 Poincaré 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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