The Moyal cohomology of the N=1 spinning particle

The Batalin-Fradkin-Vilkovisky formalism studies a differential graded symplectic supermanifold whose cohomology vanishes in negative degree. This hypothesis is violated by the N=1 spinning particle arXiv:1605.04762; its cohomology is nontrivial in all negative degrees. Replacing the Poisson bracket by the Moyal bracket has the effect of eliminating these cohomology classes.