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arxiv: 1111.3968 · v2 · pith:JZCN6OOCnew · submitted 2011-11-16 · ✦ hep-th · hep-lat· math-ph· math.MP

Supersymmetric Extension of the Snyder Algebra

classification ✦ hep-th hep-latmath-phmath.MP
keywords algebraextensionlatticesnydersupersymmetricapproachcompatibleconstruction
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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.

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