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Nonlinear Self–Duality and Supersymmetry
Author(s) -
Kuzenko Sergei M.,
Theisen Stefan
Publication year - 2001
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/1521-3978(200102)49:1/3<273::aid-prop273>3.0.co;2-0
Subject(s) - duality (order theory) , supersymmetry , abelian group , physics , mathematical physics , mathematics , theoretical physics , calculus (dental) , combinatorics , medicine , dentistry
We review self‐duality of nonlinear electrodynamics and its extension to several Abelian gauge fields coupled to scalars. We then describe self‐duality in supersymmetric models, both $\cal N$ = 1 and $\cal N$ = 2. The self‐duality equations, which have to be satisfied by the action of any self‐dual system, are found and solutions are discussed. One important example is the Born‐Infeld action. We explain why the $\cal N$ = 2 supersymmetric actions proposed so far are not the correct world‐volume actions for D3 branes in d = 6.