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.

Issue

Section

Papers
Received 22-09-2011
Accepted 16-10-2012
Published 29-10-2012