BRS Cohomology of the Supertranslations in D=4

Details BRS Cohomology of the Supertranslations in D=4 BRS Cohomology of the Supertranslations in D=4

1993-04-08

arxiv.org/abs/hep-th/9304035v1

Commun.Math.Phys.172:1-12,1995

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, CTP-TAMU-13/93

Scientific paper

10.1007/BF02104508

Supersymmetry transformations are a kind of square root of spacetime translations. The corresponding Lie superalgebra always contains the supertranslation operator $ \delta = c^{\alpha} \sigma^{\mu}_{\alpha \dot \beta} {\overline c}^{\dot \beta} (\epsilon^{\mu})^{\dag} $. 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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