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Z2×Z2 generalizations of ð'©=2 super Schrödinger algebras and their representations

Journal of mathematical physics, 2017-11, Vol.58 (11) [Peer Reviewed Journal]

2017 Author(s). Published by AIP Publishing. ;ISSN: 0022-2488 ;EISSN: 1089-7658 ;DOI: 10.1063/1.4986570

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  • Title:
    Z2×Z2 generalizations of ð'©=2 super Schrödinger algebras and their representations
  • Author: Aizawa, N ; Segar, J
  • Subjects: Algebra ; Production planning
  • Is Part Of: Journal of mathematical physics, 2017-11, Vol.58 (11)
  • Description: We generalize the real and chiral N=2 super Schrödinger algebras to Z2×Z2-graded Lie superalgebras. This is done by D-module presentation, and as a consequence, the D-module presentations of Z2×Z2-graded superalgebras are identical to the ones of super Schrödinger algebras. We then generalize the calculus over the Grassmann number to Z2×Z2 setting. Using it and the standard technique of Lie theory, we obtain a vector field realization of Z2×Z2-graded superalgebras. A vector field realization of the Z2×Z2 generalization of N=1 super Schrödinger algebra is also presented.
  • Publisher: New York: American Institute of Physics
  • Language: English
  • Identifier: ISSN: 0022-2488
    EISSN: 1089-7658
    DOI: 10.1063/1.4986570
  • Source: Alma/SFX Local Collection
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