An Octonionic Gauge Theory
高能物理 - 理论
2007-05-23 v1 高能物理 - 唯象学
摘要
The nonassociativity of the octonion algebra necessitates a bimodule representation, in which each element is represented by a left and a right multiplier. This representation can then be used to generate gauge transformations for the purpose of constructing a field theory symmetric under a gauged octonion algebra, the nonassociativity of which appears as a failure of the representation to close, and hence produces new interactions in the gauge field kinetic term of the symmetric Lagrangian.
引用
@article{arxiv.hep-th/9503189,
title = {An Octonionic Gauge Theory},
author = {C. C. Lassig and G. C. Joshi},
journal= {arXiv preprint arXiv:hep-th/9503189},
year = {2007}
}
备注
14 pages, Revtex