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Quaternion Generalization of Super Poincare Group

General Physics 2015-08-24 v1

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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Cite

@article{arxiv.1508.05368,
  title  = {Quaternion Generalization of Super Poincare Group},
  author = {Bhupendra C. S. Chauhan and O. P. S. Negi},
  journal= {arXiv preprint arXiv:1508.05368},
  year   = {2015}
}

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