Gauging octonion algebra
High Energy Physics - Theory
2007-05-23 v1
Abstract
By consireding representation theory for non-associative algebras we construct the fundamental and adjoint representations of the octonion algebra. We then show how these representations by associative matrices allow a consistent octonionic gauge theory to be realised. We find that non-associativity implies the existence of new terms in the transformation laws of fields and the kinetic term of an octonionic Lagrangian.
Cite
@article{arxiv.hep-th/9211123,
title = {Gauging octonion algebra},
author = {A. K. Waldron and G. C. Joshi},
journal= {arXiv preprint arXiv:hep-th/9211123},
year = {2007}
}
Comments
20 pages,latex, UM- P-92/60