On contractions of classical basic superalgebras

Abstract

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.

15 pages, Latex

References in corpus (1)

• Tachyon Lump Solutions of Bosonic D-branes on SU(2) Group Manifolds in Cubic String Field Theory