Higher Dimensional Supersymmetry
O.P.S. Negi
TL;DR
This paper explores higher-dimensional supersymmetry using quaternion variables, developing a supersymmetric quaternion Dirac equation for various cases and analyzing related gauge theories involving dyons.
Contribution
It introduces a quaternion-based framework for higher-dimensional supersymmetry and extends the supersymmetric Dirac equation to include mass, interactions, and dyons.
Findings
Quaternion harmonic oscillator theory developed
Supersymmetric quaternion Dirac equation formulated for multiple cases
Higher-dimensional supersymmetric gauge theories of dyons analyzed
Abstract
Higher dimensional super symmetry has been analyzed in terms of quaternion variables and the theory of quaternion harmonic oscillator has been analyzed. Supersymmertization of quaternion Dirac equation has been developed for massless,massive and interacting cases including generalized electromagnetic fields of dyons. Accordingly higher dimensional super symmetric gauge theories of dyons are analyzed.
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Taxonomy
TopicsQuantum and Classical Electrodynamics · Mechanical and Optical Resonators · Cold Atom Physics and Bose-Einstein Condensates