Quaternion Generalization of Super Poincare Group
classification
⚛️ physics.gen-ph
keywords
grouppoincarealgebraquaternionsuperlorentzspace-timeanalysed
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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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