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Octonionic Gauge Formulation for Dyonic Fields

Shalini Dangwal·P. S. Bisht·O. P. S. Negi
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Abstract

Starting with the generalized field equation of dyons and gravito-dyons, we study the theory of octonion variables to the SU (2) non-Abelian gauge formalism. We demonstrate the resemblance of octonion covariant derivative with the gauge covariant derivative of generalized fields of dyons.Expressing the generalized four-potential, current and fields of gravito-dyons in terms of split octonion variables, the U (1) abelian and SU (2) non-Abelian gauge structure of dyons and gravito-dyons are described. It is emphasized that in general the generalized four-current is not conserved but only the Noetherian four-current is considered to be conserved one. The present formalism yields the theory of electric (gravitational) charge (mass) in the absence of magnetic(Heavisidean) charge (mass) on dyons (gravito-dyons) or vice versa.

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Shalini Dangwal, P. S. Bisht, O. P. S. Negi. 2006-08-09. Octonionic Gauge Formulation for Dyonic Fields. https://arxiv.org/abs/hep-th/0608061

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