(Supersymmetric) Kac-Moody gauge fields in 3+1 dimensions
Abstract
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 supersymmetric Kac-Moody gauge fields is also made.
- Publication:
-
Physical Review D
- Pub Date:
- April 2000
- DOI:
- 10.1103/PhysRevD.61.085009
- arXiv:
- arXiv:hep-th/9805203
- Bibcode:
- 2000PhRvD..61h5009B
- Keywords:
-
- 11.15.-q;
- 02.20.Sv;
- 11.30.Pb;
- 12.10.-g;
- Gauge field theories;
- Lie algebras of Lie groups;
- Supersymmetry;
- Unified field theories and models;
- High Energy Physics - Theory
- E-Print:
- 21 pages, no figures, latex. Minor changes