2001/10/09 by E. A. Ivanov, Evgeny Ivanov, Б. М. Зупник +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Geology #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Theoretical physics #hep-th
paper · pdf · doi:10.1016/s0550-3213(01)00540-5
published as Nucl.Phys. B618 (2001) 3-20 · 18 pages, latex, no figures, slight changes, acknowledgements added
arxiv created 2001/10/09 · openalex publication_date 2001/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We construct an off-shell N=3 supersymmetric extension of the abelian D=4 Born-Infeld action starting from the action of supersymmetric Maxwell theory in N=3 harmonic superspace. A crucial new feature of the N=3 super BI action is that its interaction part contains only terms of the order 4k in the N=3 superfield strengths. The correct component bosonic BI action arises as the result of elimination of auxiliary tensor field which is present in the off-shell N=3 vector multiplet in parallel with the gauge field strength. In this new Legendre-type representation, the bosonic BI action is fully specified by a real function of the single variable quartic in the auxiliary tensor field. The generic choice of this function amounts to a wide set of self-dual nonlinear extensions of the Maxwell action. All of them admit an off-shell N=3 supersymmetrization.