Adinkras & Genomics in Sixteen Color Systems (I)

Motivated by the search for embedded on-shell supermultiplets in higher dimensional off-shell theories, we investigate several 16-color supermultiplets and their topology. An Adinkra’s topology is known to be equivalent to $({\mathbb{Z}}_2)$-quotients of an N-cube. This is revisited with the focus of closing the off-shell problem for the 4D $\mathcal{N}=4$ Maxwell supermultiplet.