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Supersymmetric fluid in a free one-dimensional motion

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Lettere al Nuovo Cimento (1971-1985)

Summary

A free supersymmetric fluid in one-dimensional motion which, in addition to mass, transports s bosonic andr fermionic fields, possessess + 3 noncanonical super-Hamiltonian structuress + 2 of which depend nonlinearly upon the fields variables. To each of theses + r transported fields we associate an infinite series of linear conservation laws; their Poisson brackets do not vanish and, thus, give rise to an infinitedimensional non-Abelian Lie superalgebra of conservation laws. The same results hold true upon (special) relativization, with the Hamiltonian forms and the conservation laws staying form invariant.

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Authors and Affiliations

  1. University of Tennessee Space Institute, 37388, Tullahoma, TN, USA

    B. A. Kupershmidt

  2. Center for Nonlinear Studies, Los Alamos National Laboratory, 87545, Los Alamos, NM, USA

    B. A. Kupershmidt

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  1. B. A. Kupershmidt
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Kupershmidt, B.A. Supersymmetric fluid in a free one-dimensional motion. Lett. Nuovo Cimento 40, 476–480 (1984). https://doi.org/10.1007/BF02748419

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  • DOI: https://doi.org/10.1007/BF02748419

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