On Clifford-algebraic dimensional extension and SUSY holography

Sylvester Gates, T. Hübsch, K. Stiffler

    Research output: Contribution to journalArticle

    9 Citations (Scopus)

    Abstract

    © 2015 World Scientific Publishing Company. We analyze the group of maximal automorphisms of the N-extended worldline supersymmetry algebra, and its action on off-shell supermultiplets. This defines a concept of "holoraumy" that extends the notions of holonomy and curvature in a novel way and provides information about the geometry of the supermultiplet field-space. In turn, the "holoraumy" transformations of 0-brane dimensionally reduced supermultiplets provide information about Lorentz transformations in the higher-dimensional space-time from which the 0-brane supermultiplets are descended. Specifically, Spin(3) generators are encoded within 0-brane "holoraumy" tensors. Worldline supermultiplets are thus able to holographically encrypt information about higher-dimensional space-time geometry.
    Original languageEnglish
    Pages (from-to)1550042
    JournalInternational Journal of Modern Physics A
    Volume30
    Issue number9
    DOIs
    Publication statusPublished - 2015

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    holography
    automorphisms
    Lorentz transformations
    geometry
    supersymmetry
    algebra
    generators
    curvature
    tensors

    Cite this

    Gates, Sylvester ; Hübsch, T. ; Stiffler, K. / On Clifford-algebraic dimensional extension and SUSY holography. In: International Journal of Modern Physics A. 2015 ; Vol. 30, No. 9. pp. 1550042.
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    On Clifford-algebraic dimensional extension and SUSY holography. / Gates, Sylvester; Hübsch, T.; Stiffler, K.

    In: International Journal of Modern Physics A, Vol. 30, No. 9, 2015, p. 1550042.

    Research output: Contribution to journalArticle

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    AU - Hübsch, T.

    AU - Stiffler, K.

    PY - 2015

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    N2 - © 2015 World Scientific Publishing Company. We analyze the group of maximal automorphisms of the N-extended worldline supersymmetry algebra, and its action on off-shell supermultiplets. This defines a concept of "holoraumy" that extends the notions of holonomy and curvature in a novel way and provides information about the geometry of the supermultiplet field-space. In turn, the "holoraumy" transformations of 0-brane dimensionally reduced supermultiplets provide information about Lorentz transformations in the higher-dimensional space-time from which the 0-brane supermultiplets are descended. Specifically, Spin(3) generators are encoded within 0-brane "holoraumy" tensors. Worldline supermultiplets are thus able to holographically encrypt information about higher-dimensional space-time geometry.

    AB - © 2015 World Scientific Publishing Company. We analyze the group of maximal automorphisms of the N-extended worldline supersymmetry algebra, and its action on off-shell supermultiplets. This defines a concept of "holoraumy" that extends the notions of holonomy and curvature in a novel way and provides information about the geometry of the supermultiplet field-space. In turn, the "holoraumy" transformations of 0-brane dimensionally reduced supermultiplets provide information about Lorentz transformations in the higher-dimensional space-time from which the 0-brane supermultiplets are descended. Specifically, Spin(3) generators are encoded within 0-brane "holoraumy" tensors. Worldline supermultiplets are thus able to holographically encrypt information about higher-dimensional space-time geometry.

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