# Superfield component decompositions and the scan for prepotential supermultiplets in 10D superspaces

@article{JamesGates2020SuperfieldCD,
title={Superfield component decompositions and the scan for prepotential supermultiplets in 10D superspaces},
author={S. James Gates and Yangrui Hu and S.-N. Hazel Mak},
journal={Journal of High Energy Physics},
year={2020},
volume={2020},
pages={1-63}
}
• Published 3 November 2019
• Mathematics
• Journal of High Energy Physics
The first complete and explicit SO(1,9) Lorentz descriptions of all component fields contained in the N $$\mathcal{N}$$ = 1, N $$\mathcal{N}$$ = 2A, and N $$\mathcal{N}$$ = 2B unconstrained scalar 10D superfields are presented. These are made possible by a discovery of the dependence of the superfield component expansion on the branching rules of irreducible representations in one ordinary Lie algebra into one of its Lie subalgebras. Adinkra graphs for ten dimensional superspaces are…
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• Computer Science, Mathematics
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A relationship between Adinkra diagrams and quotients of N-dimensional cubes is demonstrated, and how these quotient groups correspond precisely to doubly even binary linear error-correcting codes provides a means for describing equivalence classes of Adinkras and therefore supermultiplets.
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An adinkra is a graph-theoretic representation of space–time supersymmetry. Minimal four-color valise adinkras have been extensively studied due to their relations to minimal 4D, [Formula: see text]
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