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

  • Elementary Particles and Fields
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Abstract

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(m − n) 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.

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Authors and Affiliations

  1. Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, 1784, Bulgaria

    N. I. Stoilova

  2. NCBI, National Library of Medicine, National Institute of Health, Bethesda, MD, 20894, USA

    J. Thierry-Mieg

  3. Department of Applied Mathematics, Computer Science and Statistics, Ghent University, Ghent, Belgium

    J. Van der Jeugt

Authors
  1. N. I. Stoilova
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  2. J. Thierry-Mieg
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  3. J. Van der Jeugt
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Correspondence to J. Van der Jeugt.

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The text was submitted by the authors in English.

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Stoilova, N.I., Thierry-Mieg, J. & Van der Jeugt, J. On Characters and Superdimensions of Some Infinite-Dimensional Irreducible Representations of osp(m|n). Phys. Atom. Nuclei 81, 939–944 (2018). https://doi.org/10.1134/S1063778818060285

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  • DOI: https://doi.org/10.1134/S1063778818060285

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