The Moyal cohomology of the N=1 spinning particle
classification
🧮 math-ph
math.MPmath.SG
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cohomologybracketmoyalnegativeparticlespinningarxivbatalin-fradkin-vilkovisky
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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.
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