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On Clifford-Algebraic "Holoraumy", Dimensional Extension, and SUSY Holography
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On Clifford-Algebraic "Holoraumy", Dimensional Extension, and SUSY Holography

S J Gates Jr, T Hubsch and K Stiffler
arXiv.org
Cornell University
01/06/2015
DOI: 10.48550/arxiv.1409.4445
url
https://doi.org/10.1142/S0217751X15500426View
Published (Version of record)This article has now been published in a journal and has been peer-reviewed by subject experts. This version may differ significantly from the preprint version. Access restricted to faculty, staff and students
url
https://doi.org/10.48550/arxiv.1409.4445View
Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

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Abstract

We analyze the group of maximal automorphisms of the -extended world-line 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 spacetime from which the 0-brane supermultiplets are descended. Specifically, Spin(3) generators are encoded within 0-brane "holoraumy" tensors. World-line supermultiplets are thus able to holographically encrypt information about higher dimensional spacetime geometry.
Mathematics - Representation Theory Physics - High Energy Physics - Theory

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