On Characters and Superdimensions of Some Infinite-Dimensional Irreducible Representations of osp(m|n)


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Resumo

Chiral spinors and self dual tensors of the Lie superalgebra osp(m|n) are infinite-dimensional representations belonging to the class of representations with Dynkin labels [0,..., 0, p]. We show that the superdimension of [0,..., 0, p] coincides with the dimension of a so(mn) representation. When the superdimension is finite, these representations could play a role in supergravity models. Our technique is based on expansions of characters in terms of supersymmetric Schur functions. In the process of studying these representations, we obtain new character expansions.

Sobre autores

N. Stoilova

Institute for Nuclear Research and Nuclear Energy

Email: Joris.VanderJeugt@UGent.be
Bulgária, Sofia, 1784

J. Thierry-Mieg

NCBI

Email: Joris.VanderJeugt@UGent.be
Estados Unidos da América, Bethesda, MD, 20894

J. Van der Jeugt

Department of Applied Mathematics, Computer Science and Statistics

Autor responsável pela correspondência
Email: Joris.VanderJeugt@UGent.be
Bélgica, Ghent

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