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SU(5/3) Superalgebra and Its Representations of Fundamental Particles

High Energy Physics - Theory 2015-06-15 v1

Abstract

We study the lowest dimensional typical and atypical representations of SU(5/3) superalgebra as a possible unified gauge theory having a natural SU(5) subalgebra with SU(3) extra structure, which will be used to accommodate three generations of fundamental particles. By using Kac-Dynkin weight techniques, we find that all known quarks and leptons can be really accommodated in one atypical irreducible representation of SU(5/3).

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Cite

@article{arxiv.1302.6313,
  title  = {SU(5/3) Superalgebra and Its Representations of Fundamental Particles},
  author = {Chang-Ho Kim and Seung Kook Kim and Young-Jai Park},
  journal= {arXiv preprint arXiv:1302.6313},
  year   = {2015}
}

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13 pages