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Poincaré parasuperalgebra with central charges and parasupersymmetric Wess- Zumino model. (English) Zbl 0989.81037

Proceedings of the third international conference on symmetry in nonlinear mathematical physics, Kyiv, Ukraine, July 12-18, 1999. Part 2. Transl. from the Ukrainian. Kyiv: Institute of Mathematics of NAS of Ukraine. Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 30(2), 333-340 (2000).
The author considers irreducible representations of the Poincaré parasuperalgebra with an even number \(N\) of parasupercharges and finds an internal symmetry group for a certain class of representations. A parasupersymmetric Wess-Zumino model with \(N=1\) is also studied.
For the entire collection see [Zbl 0937.00046].

MSC:

81R05 Finite-dimensional groups and algebras motivated by physics and their representations
81T60 Supersymmetric field theories in quantum mechanics
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