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Abstract:
We study the supersymmetry algebra of M-theory on a pp-wave. The algebra is identified as the special unitary Lie superalgebra, SU(2|4). The root structure is analysed. We discuss the typical and atypical representations and the atypicality conditions are derived by use of naturally ordered products. We also classify the BPS multiplets and find 1/4,1/2,3/4 and the fully supersymmetric representations are possible. Several examples are given with an emphasis on the properties of unitary representations.
