The Central Charge in 3D Simple Superalgebra

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A matter self-interacting model with N=1-supersymmetry in 3D is discussed in connection with the appearance of a central charge in the algebra of the supersymmetry generators. The result is extended to include gauge fields with a Chern-Simons term. The main result is that, for a simple supersymmetry, only the matter sector contributes to the central charge in contrast to what occurs in the N=2 case.
10 pages, the short previous version was published in Helv. Phys. Acta 67 (1994) 357

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