- #1
mitchell porter
Gold Member
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I had heard of adinkras but didn't realize that they were meant to play this role. Nor did I realize that the representation theory of supersymmetry is mathematically underdeveloped."Lie algebras have had a tremendous impact in theoretical physics... the Jordan-Chevalley decomposition is at the heart of the representation theory of Lie algebras.
"Little in the context of spacetime supersymmetry compares to the comprehensive nature of the representation theory achieved for Lie algebras. Two Casimir operators, the “superspin” and “mass,” are often used to provide a basis for classification. But these provide at best a partial classification. We have been developing the theory of adinkras to fill this gap." -- S.J. Gates and 12 other authors, "On the Four Dimensional Holoraumy of the 4D, N = 1 Complex Linear Supermultiplet"