Contractions yielding new supersymmetric extensions of the Poincaré algebra
The classical Poincaré algebra can be obtained by a contraction of the real simple Lie algebra \(so(3,2)\) or \(so(4,1)\). Here, two new supersymmetric extensions of the Poincaré algebra are analysed. They are obtained by means of contractions of the real forms of the simple Lie superalgebra \(osp(2,4)=D(1,2)\) [\textit{M. Parker}, J. Math. Phys. 21, 689- 697 (1980; Zbl 0445.17002)]. Some possible applications to quantum field theory models are presented.
scientific article; zbMATH DE number 89981