Generalized supersymmetry and the Lévy-Leblond equation

N. Aizawa (), Z. Kuznetsova (), H. Tanaka () and F. Toppan ()
Additional contact information
N. Aizawa: Osaka Prefecture University
Z. Kuznetsova: UFABC
H. Tanaka: Osaka Prefecture University
F. Toppan: CBPF

A chapter in Physical and Mathematical Aspects of Symmetries, 2017, pp 79-84 from Springer

Abstract: 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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-69164-0_11

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DOI: 10.1007/978-3-319-69164-0_11

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