Null-tetrad formulation of dyons

Bisht, P. S.; Negi, O. P. S.; Rajput, B. S.

doi:10.1007/bf02799142

Cited by 18 publications

(26 citation statements)

References 16 publications

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“…where {F μν } and {F d μν } are described as generalized electromagnetic and dual electromagnetic fields of dyons [60][61][62][63][64][65][76][77][78]. So this extension accommodates both types of nonsymmetric metrics real as well as complex where one of the Maxwell field is always real.…”

Section: Complex Casementioning

confidence: 99%

Quaternion-Octonion Analyticity for Abelian and Non-Abelian Gauge Theories of Dyons

Bisht

Negi

2007

Int J Theor Phys

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Section: Complex Casementioning

confidence: 99%

Quaternion-Octonion Analyticity for Abelian and Non-Abelian Gauge Theories of Dyons

Bisht

Negi

2007

Int J Theor Phys

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“…Here we identify the non-Abelian gauge fields A μ and B μ as the gauge potentials respectively for electric and magnetic charges of dyons [12,14,26,27]. Corresponding field momentum of (67) may also be written as follows…”

Section: Super-symmetrization Of Quaternion Dirac Equationmentioning

confidence: 99%

Quaternion Dirac Equation and Supersymmetry

Rawat

Negi

2009

Int J Theor Phys

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Quaternion Dirac equation has been analyzed and its supersymetrization has been discussed consistently. It has been shown that the quaternion Dirac equation automatically describes the spin structure with its spin up and spin down components of two component quaternion Dirac spinors associated with positive and negative energies. It has also been shown that the supersymmetrization of quaternion Dirac equation works well for different cases associated with zero mass, non zero mass, scalar potential and generalized electromagnetic potentials. Accordingly we have discussed the splitting of supersymmetrized Dirac equation in terms of electric and magnetic fields

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“…All 4 algebras are alternative with totally antisymmetric associators. Quaternions [2,3] were the very first example of hypercomplex numbers and have been widely used [4,5,6,7,8,9] in various applications of mathematics and physics. Since octonions [10,11] share with complex numbers and quaternions many attractive mathematical properties, one might expect that they would be equally as useful.…”

Section: Introductionmentioning

confidence: 99%

Octonion symmetric Dirac--Maxwell equations

Chanyal¹

2014

Turk J Phys

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Abstract:We know that the octonion algebra is the largest division algebra. Therefore, we have discussed the octonion 8-dimensional space as the combination of 2 (external and internal) 4-dimensional spaces. The octonion wave equations in terms of 8 components has been written in terms of an 8 × 8 matrix. Octonion forms of potential as well as fields equations of dyons in terms of an 8 × 8 matrix are discussed in a consistent manner. At last, we have obtained the generalized Dirac-Maxwell equations of dyons in two 4-dimensional spaces, from the 8 × 8 matrix representation of octonion wave equations. Generalized Dirac-Maxwell equations are fully symmetric Maxwell's equations and allow for the possibility of magnetic charges and currents, i.e. analogous to electric charges and currents.

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Null-tetrad formulation of dyons

Cited by 18 publications

References 16 publications

Quaternion-Octonion Analyticity for Abelian and Non-Abelian Gauge Theories of Dyons

Quaternion-Octonion Analyticity for Abelian and Non-Abelian Gauge Theories of Dyons

Quaternion Dirac Equation and Supersymmetry

Octonion symmetric Dirac--Maxwell equations

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