On contractions of classical basic superalgebras

N. A. Gromov; I. V. Kostyakov; V. V. Kuratov

doi:10.1088/0305-4470/36/10/308

On contractions of classical basic superalgebras

高能物理 - 理论 2009-11-07 v1

作者: N. A. Gromov , I. V. Kostyakov , V. V. Kuratov

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摘要

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.

关键词

lie algebras and representations

引用

@article{arxiv.hep-th/0209097,
  title  = {On contractions of classical basic superalgebras},
  author = {N. A. Gromov and I. V. Kostyakov and V. V. Kuratov},
  journal= {arXiv preprint arXiv:hep-th/0209097},
  year   = {2009}
}

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15 pages, Latex

On contractions of classical basic superalgebras

摘要

关键词

引用

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