Abstract

We show performing general "0-brane reduction" along an arbitrary fixed direction in space–time and applied to the starting point of minimal, off-shell 4D, 𝒩 = 1 irreducible supermultiplets, yields adinkras whose adjacency matrices are among some of the special cases proposed by Kuznetsova, Rojas and Toppan. However, these more general reductions also can lead to "Garden Algebra" structures beyond those described in their work. It is also shown that for light-like directions, reduction to the 0-brane breaks the equality in the number of fermions and bosons for dynamical theories. This implies that light-like reductions should be done instead to the space of 1-branes or equivalently to the worldsheet.

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