BRS Cohomology of the Supertranslations in D=4

Abstract

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

14 pages, CTP-TAMU-13/93

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• Chiral SUSY Theories with a Suppressed SUSY Charge
• SUSY Invariants from the BRST Cohomology of the SOSO Model
• Composite Operators, Supersymmetry Anomalies and Supersymmetry Breaking in the Wess-Zumino Model
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