Octonionic Extension of \(U(1) \times SU(2)\) Gauge Analyticity of Dyons

Praveen Singh Bisht; Shalini Dangwal; O. P. S. Negi

doi:10.15625/0868-3166/22/3/181

Octonionic Extension of \(U(1) \times SU(2)\) Gauge Analyticity of Dyons

Praveen Singh Bisht, Shalini Dangwal, O. P. S. Negi

Author affiliations

Authors

Praveen Singh Bisht Kumaun University
Shalini Dangwal Kumaun University
O. P. S. Negi

DOI:

https://doi.org/10.15625/0868-3166/22/3/181

Keywords:

Dyons, Gravito - dyons, Gauge theory, Octonions

Abstract

Starting with the generalized electromagnetic (and gravi-magnetic) fields of dyons (and grvito-dyons), the octonion generalization of \(U(1)\times SU(2)\) gauge theories of dyons (and grvito-dyons) has been developed in a consistent way. The resemblance between octonion covariant derivative and the gauge covariant derivative has also been established . Expressing the generalized four - potential, current and fields of dyons (and gravito - dyons) in terms of split octonion variables, we have discussed the consistent forms of \(U(1)\) abelian and \(SU(2)\) non - Abelian gauge theories for dyons (and gravito - dyons). It is shown that the present formalism reproduces 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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Published

29-10-2012

How to Cite

[1]

P. S. Bisht, S. Dangwal, and O. P. S. Negi, “Octonionic Extension of \(U(1) \times SU(2)\) Gauge Analyticity of Dyons”, Comm. Phys., vol. 22, no. 3, p. 201, Oct. 2012.

IEEE

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Issue

Vol. 22 No. 3 (2012)

Section

Papers

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