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 (arXiv: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. (C) 2011 Elsevier B.V. All rights reserved.