On contractions of classical basic superalgebras

Details On contractions of classical basic superalgebras On contractions of classical basic superalgebras

2002-09-12

arxiv.org/abs/hep-th/0209097v1

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, Latex

Scientific paper

10.1088/0305-4470/36/10/308

We define a class of orthosymplectic $osp(m;j|2n;\omega)$ and unitary $sl(m;j|n;\epsilon)$ superalgebras which may be obtained from $osp(m|2n)$ and $sl(m|n)$ by contractions and analytic continuations in a similar way as the special linear, orthogonal and the symplectic Cayley-Klein algebras are obtained from the corresponding classical ones. Casimir operators of Cayley-Klein superalgebras are obtained from the corresponding operators of the basic superalgebras. Contractions of $sl(2|1)$ and $osp(3|2)$ are regarded as an examples.

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