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Supersymmetry algebra cohomology. II. Primitive elements in 2 and 3 dimensions
1.F. Brandt, “Supersymmetry algebra cohomology. I. Definition and general structure,” e-print arXiv:0911.2118 [hep-th].
2.The index i = 1, …, N numbers sets of supersymmetries. In the case of Majorana–Weyl supersymmetries, we use i = 1+, …, N+, 1−, …, N− with N = N+ + N− where the subscripts + and − indicate the chirality of the supersymmetries, respectively.
3.Alternatively, one may verify Eqs. (3.66) directly in a spinor representation independent manner using the “completeness relation” of the gamma-matrices in D = 3 dimensions.
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