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A Klein Operator for Paraparticles

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Lie Theory and Its Applications in Physics (LT 2021)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 396))

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Abstract

It has been known for a long time that there are two non-trivial possibilities for the relative commutation relations between a set of m parafermions and a set of n parabosons. These two choices are known as “relative parafermion type” and “relative paraboson type”, and correspond to quite different underlying algebraic structures. In this short note we show how the two possibilities are related by a so-called Klein transformation.

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Acknowledgements

N. Stoilova was supported by the Bulgarian National Science Fund, grant KP-06-N28/6, and J. Van der Jeugt was supported by the EOS Research Project 30889451.

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Authors and Affiliations

  1. Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Boul. Tsarigradsko Chaussee 72, 1784, Sofia, Bulgaria

    Nedialka I. Stoilova

  2. Department of Applied Mathematics, Computer Science and Statistics, Ghent University, Krijgslaan 281-S9, 9000, Gent, Belgium

    Joris Van der Jeugt

Authors
  1. Nedialka I. Stoilova
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  2. Joris Van der Jeugt
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Corresponding author

Correspondence to Nedialka I. Stoilova .

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Editors and Affiliations

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

    Vladimir Dobrev

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© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Stoilova, N.I., Van der Jeugt, J. (2022). A Klein Operator for Paraparticles. In: Dobrev, V. (eds) Lie Theory and Its Applications in Physics. LT 2021. Springer Proceedings in Mathematics & Statistics, vol 396. Springer, Singapore. https://doi.org/10.1007/978-981-19-4751-3_20

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