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Clifford Algebras and the Minimal Representations of the 1D N-Extended Supersymmetry Algebra

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Abstract.

The Atiyah-Bott-Shapiro classification of the irreducible Clifford algebra is used to derive general properties of the minimal representations of the 1D N-Extended Supersymmetry algebra (the Z2-graded symmetry algebra of the Supersymmetric Quantum Mechanics) linearly realized on a finite number of fields depending on a real parameter t, the time.

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  1. CBPF, Rua Dr. Xavier Sigaud 150, CEP 22290-180, Rio de Janeiro (RJ), Brazil

    Francesco Toppan

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  1. Francesco Toppan
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Correspondence to Francesco Toppan.

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Toppan, F. Clifford Algebras and the Minimal Representations of the 1D N-Extended Supersymmetry Algebra. Adv. Appl. Clifford Algebras 20, 937–950 (2010). https://doi.org/10.1007/s00006-010-0230-z

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  • DOI: https://doi.org/10.1007/s00006-010-0230-z

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