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arXiv · hep-th/9503189

An Octonionic Gauge Theory

C. C. Lassig·G. C. Joshi
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Abstract

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.

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C. C. Lassig, G. C. Joshi. 1995-03-28. An Octonionic Gauge Theory. https://arxiv.org/abs/hep-th/9503189

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