High Energy Particle Physics


Graded Lie Algebra of Quaternions and Superalgebra of SO(3,1)

Authors: Bhupendra C. S. Chauhan and O. P. S. Negi

Abstract In the present discussion we study the grading of Quaternion algebra(\mathbb{H}) and Lorentz algebra of O(3,1) group. Then we have made an attempt to make the whole Poincaré algebra of SO(3,1)in terms of Quaternions. After this the supersymmetrization of this group has been done in a consistent manner. Finally the dimensional reduction from D=4 to D=2 has been studied.

Comments: 12 Pages. Quaternionic super Poincaré group and Conformal algebrain D=4 space-time

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[v1] 2016-10-21 22:07:20

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