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On Clifford-algebraic dimensional extension and SUSY holography
Journal article   Peer reviewed

On Clifford-algebraic dimensional extension and SUSY holography

S. J. Gates, T. Huebsch and K. Stiffler
International journal of modern physics. A, Particles and fields, gravitation, cosmology, Vol.30(9), p.1550042
03/30/2015
DOI: 10.1142/S0217751X15500426
url
https://arxiv.org/pdf/1409.4445View
Open Access

Abstract

We analyze the group of maximal automorphisms of the N-extended worldline super-symmetry 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.
Physical Sciences Physics Physics, Nuclear Physics, Particles & Fields Science & Technology

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