Gauging octonion algebra

Details Gauging octonion algebra Gauging octonion algebra

1992-11-26

arxiv.org/abs/hep-th/9211123v1

Physics

High Energy Physics

High Energy Physics - Theory

20 pages,latex, UM- P-92/60

Scientific paper

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.

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