English

On General Off-Shell Representations of Worldline (1D) Supersymmetry

High Energy Physics - Theory 2014-02-10 v2

Abstract

Every finite-dimensional unitary representation of the N-extended worldline supersymmetry without central charges may be obtained by a sequence of differential transformations from a direct sum of minimal Adinkras, simple supermultiplets that are identifiable with representations of the Clifford algebra. The data specifying this procedure is a sequence of subspaces of the direct sum of Adinkras, which then opens an avenue for classification of the continuum of so constructed off-shell supermultiplets.

Keywords

Cite

@article{arxiv.1310.3258,
  title  = {On General Off-Shell Representations of Worldline (1D) Supersymmetry},
  author = {Charles F. Doran and Tristan Hubsch and Kevin M. Iga and Gregory D. Landweber},
  journal= {arXiv preprint arXiv:1310.3258},
  year   = {2014}
}

Comments

21 pages, 5 illustrations; references updated