Adinkra Foundation of Component Decomposition and the Scan for Superconformal Multiplets in 11D, N = 1 Superspace

Abstract

For the first time in the physics literature, the Lorentz representations of all 2,147,483,648 bosonic degrees of freedom and 2,147,483,648 fermionic degrees of freedom in an unconstrained eleven dimensional scalar superfield are presented. Comparisons of the conceptual bases for this advance in terms of component field, superfield, and adinkra arguments, respectively, are made. These highlight the computational efficiency of the adinkra-based approach over the others. It is noted at level sixteen in the 11D, N = 1 scalar superfield, the {65} representation of SO(1,10), the conformal graviton, is present. Thus, Adinkra-based arguments suggest the surprising possibility that the 11D, N = 1 scalar superfield alone might describe a Poincare supergravity prepotential in analogy to one of the off-shell versions of 4D, N = 1 superfield supergravity.

arXiv comment65 pages, 3 figures, LaTeX twice, this version includes new comparison with type-IIB approach, linking formulae, 11D constraints-prepotential overlap, and expanded discussion of standard 11D, N = 1 scalar superfield

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Cited by in corpus (2)

• Component Decompositions and Adynkra Libraries for Supermultiplets in Lower Dimensional Superspaces
• Weyl Covariance, and Proposals for Superconformal Prepotentials in 10D Superspaces