Octonion and Split Octonion Representation of SO(8) Symmetry
Mathematical Physics
2012-12-12 v1 High Energy Physics - Phenomenology
math.MP
Abstract
The 8 8 matrix representation of SO(8) Symmetry has been defined by using the direct product of Pauli matrices and Gamma matrices. These 8 8 matrices are being used to describe the rotations in SO(8) symmetry. The comparison of 88 matrices with octonions has also been shown. The transformations of SO(8) symmetry are represented with the help of Octonions and split Octonions spinors.
Keywords
Cite
@article{arxiv.1212.2536,
title = {Octonion and Split Octonion Representation of SO(8) Symmetry},
author = {Pushpa and P. S. Bisht and Tianjun Li and O. P. S. Negi},
journal= {arXiv preprint arXiv:1212.2536},
year = {2012}
}