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arXiv · hep-th/0209097

On contractions of classical basic superalgebras

N. A. Gromov·I. V. Kostyakov·V. V. Kuratov
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Abstract

We define a class of orthosymplectic $osp(m;j|2n;ω)$ and unitary $sl(m;j|n;ε)$ 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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N. A. Gromov, I. V. Kostyakov, V. V. Kuratov. 2002-09-12. On contractions of classical basic superalgebras. https://doi.org/10.1088/0305-4470%2F36%2F10%2F308

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