Creating Infinitesimal Generators And Robust Messages With Adinkras
arXiv:1306.0550
Abstract
Adinkras are graphs that can describe off-shell supermultiplets in 1 dimension with a Lie superalgebra known as Garden algebra. In this paper, I show that the degrees of freedom of the adinkra can be represented by a subgraph called a baobab. Because the structure of adinkras and baobabs are very general, I will show that all finite-dimensional Lie superalgebras can be similarly described by more general Lie adinkras and Lie baobabs. Furthermore, it will be shown that adinkras can represent forward error correction block codes, and bit erasures in Garden algebra adinkras can be corrected using logic circuits derived from baobabs.
19 pages, 9 figures
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