(Supersymmetric) Kac-Moody Gauge Fields in 3+1 Dimensions

Details (Supersymmetric) Kac-Moody Gauge Fields in 3+1 Dimensions (Supersymmetric) Kac-Moody Gauge Fields in 3+1 Dimensions

1998-05-28

arxiv.org/abs/hep-th/9805203v2

Phys.Rev. D61 (2000) 085009

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, no figures, latex. Minor changes

Scientific paper

10.1103/PhysRevD.61.085009

Lagrangians for gauge fields and matter fields can be constructed from the infinite dimensional Kac-Moody algebra and group. A continuum regularization is used to obtain such generic lagrangians, which contain new nonlinear and asymmetric interactions not present in gauge theories based on compact Lie groups. This technique is applied to deriving the Yang-Mills and Chern-Simons lagrangians for the Kac-Moody case. The extension of this method to D=4, N=(1/2,0) supersymmetric Kac-Moody gauge fields is also made.

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