Nonlinear self-duality in even dimensions

Paolo Aschieri, Daniel Brace, Bogdan Morariu, Bruno Zumino

Risultato della ricerca: Contributo su rivistaArticolo in rivistapeer review

Abstract

We show that the Born-Infeld theory with n complex abelian gauge fields written in an auxiliary field formulation has a U(n,n) duality group. We conjecture the form of the Lagrangian obtained by eliminating the auxiliary fields and then introduce a new reality structure leading to a Born-Infeld theory with n real gauge fields and an Sp(2n,ℝ) duality symmetry. The real and complex constructions are extended to arbitrary even dimensions. The maximal noncompact duality group is U(n,n) for complex fields. For real fields the duality group is Sp(2n,ℝ) if half of the dimension of space-time is even and O(n,n) if it is odd. We also discuss duality under the maximal compact subgroup, which is the self-duality group of the theory obtained by fixing the expectation value of a scalar field. Supersymmetric versions of self-dual theories in four dimensions are also discussed.

Lingua originaleInglese
pagine (da-a)551-570
Numero di pagine20
RivistaNuclear Physics B
Volume574
Numero di pubblicazione1-2
DOI
Stato di pubblicazionePubblicato - 15 mag 2000
Pubblicato esternamente

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