On Clifford-Algebraic “Holoraumy,” Dimensional Extension, and SUSY Holography

We analyze the group of maximal automorphisms of the N-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 supermul-tiplet field-space. In turn, the “holoraumy ” transformations of 0-brane dimen-sionally reduced supermultiplets provide information about Lorentz transfor-mations in the higher-dimensional spacetime from which the 0-brane supermul-tiplets are descended. World-line supermultiplets are thus able to holographi-cally encrypt information about higher dimensional spacetime geometry. PACS: 11.30.Pb, 12.60.Jv If the facts are right, then the proofs are a matter of playing around with the algebra correctly. —Richard P. Feynman ar X i