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Supersymmetric Extension of the Snyder Algebra

High Energy Physics - Theory 2015-06-03 v2 High Energy Physics - Lattice Mathematical Physics math.MP

Abstract

We obtain a minimal supersymmetric extension of the Snyder algebra and study its representations. The construction differs from the general approach given in Hatsuda and Siegel ({\tt hep-th/0311002}), and does not utilize super-de Sitter groups. The spectra of the position operators are discrete, implying a lattice description of space, and the lattice is compatible with supersymmetry transformations.

Keywords

Cite

@article{arxiv.1111.3968,
  title  = {Supersymmetric Extension of the Snyder Algebra},
  author = {L. Gouba and A. Stern},
  journal= {arXiv preprint arXiv:1111.3968},
  year   = {2015}
}

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14 pages