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arXiv · hep-th/9304035

BRS Cohomology of the Supertranslations in D=4

J. A. Dixon·R. Minasian
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Abstract

Supersymmetry transformations are a kind of square root of spacetime translations. The corresponding Lie superalgebra always contains the supertranslation operator $ δ= c^α σ^μ_{α\dot β} {\overline c}^{\dot β} (ε^μ)^† $. We find that the cohomology of this operator depends on a spin-orbit coupling in an SU(2) group and has a quite complicated structure. This spin-orbit type coupling will turn out to be basic in the cohomology of supersymmetric field theories in general.

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J. A. Dixon, R. Minasian. 1993-04-08. BRS Cohomology of the Supertranslations in D=4. https://doi.org/10.1007/bf02104508

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