On a class of gauge theories
arXiv:0706.3473 · doi:10.1063/1.2749173
Abstract
We give a framework to describe gauge theory in which a nonassociative Moufang loop takes the place of the structure group. The structure of such gauge theory has many formal similarities with that of Yang-Mills theory. We extend the gauge invariance to this theory and construct an on-shell version of N=1 supersymmetric gauge theory.
18 pages, LaTeX, no figures
References in corpus (8)
- String Solitons
- Nonassociative Star Product Deformations for D-brane Worldvolumes in Curved Backgrounds
- Octonionic Electrodynamics
- Higher Dimensional Analogues of Donaldson-Witten Theory
- Gauge theory on nonassociative spaces
- Octonionic Gravitational Instantons
- Three-cocycles, Nonassociative Gauge Transformations and Dirac's Monopole
- Analytic Loops and Gauge Fields