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Quaternion Generalization of Super Poincare Group

2015/08/01 by Chauhan, Bhupendra C. S., Negi, O. P. S.
#FOS: Physical sciences #General Physics (physics.gen-ph)

paper · doi:10.48550/arxiv.1508.05368

Abstract

Super Poincare algebra in D = 6 space-time dimensions has been analysed in terms of quaternion analyticity of Lorentz group. Starting the connection of quaternion Lorentz group with SO(1; 5) group, the SL(2;H) spinors for Dirac & Weyl representations of Poincare group are described consistently to extend the Poincare algebra to Super Poincare algebra for D = 6 space-time.

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