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Generalized supersymmetry and the Lévy-Leblond equation

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Physical and Mathematical Aspects of Symmetries

Abstract

Symmetries of the Lévy-Leblond equation are investigated beyond the standard Lie framework. It is shown that the equation has two remarkable symmetries. One is given by the super Schrödinger algebra and the other by a Z2×Z2 graded Lie algebra. The Z2×Z2 graded Lie algebra is achieved by transforming bosonic into fermionic operators in the super Schrödinger algebra and introducing second order differential operators as generators of symmetry.

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Authors and Affiliations

  1. Osaka Prefecture University, Sakai, Osaka, 599-8531, Japan

    N. Aizawa & H. Tanaka

  2. UFABC, Av. dos Estados 5001, Bangu, cep 09210-580, Santo André, (SP), Brazil

    Z. Kuznetsova

  3. CBPF, Rua Dr. Xavier Sigaud 150, Urca, cep 22290-180, Rio de Janeiro, (RJ), Brazil

    F. Toppan

Authors
  1. N. Aizawa
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  2. Z. Kuznetsova
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  3. H. Tanaka
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  4. F. Toppan
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Corresponding author

Correspondence to N. Aizawa .

Editor information

Editors and Affiliations

  1. Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro, Rio de Janeiro, Brazil

    Sergio Duarte

  2. Laboratoire APC, Paris Diderot University, Paris, France

    Jean-Pierre Gazeau

  3. Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro, Rio de Janeiro, Brazil

    Sofiane Faci

  4. Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro, Rio de Janeiro, Brazil

    Tobias Micklitz

  5. Universidade Federal Rural do Rio de Janeiro, Seropédica, Rio de Janeiro, Brazil

    Ricardo Scherer

  6. Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro, Rio de Janeiro, Brazil

    Francesco Toppan

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Aizawa, N., Kuznetsova, Z., Tanaka, H., Toppan, F. (2017). Generalized supersymmetry and the Lévy-Leblond equation. In: Duarte, S., Gazeau, JP., Faci, S., Micklitz, T., Scherer, R., Toppan, F. (eds) Physical and Mathematical Aspects of Symmetries. Springer, Cham. https://doi.org/10.1007/978-3-319-69164-0_11

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