Nonlinear Self-Duality in Even Dimensions

Details Nonlinear Self-Duality in Even Dimensions Nonlinear Self-Duality in Even Dimensions

1999-09-05

arxiv.org/abs/hep-th/9909021v4

Nucl.Phys. B574 (2000) 551-570

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 29 pages, expanded discussion in Section 2

Scientific paper

10.1016/S0550-3213(00)00019-5

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 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.

Affiliated with

Also associated with

No associations

Rating

Nonlinear Self-Duality in Even Dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Nonlinear Self-Duality in Even Dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlinear Self-Duality in Even Dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-584385