The Moyal cohomology of the N=1 spinning particle
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910271195316224 |
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| author | Getzler, Ezra |
| author_facet | Getzler, Ezra |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_29046 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Moyal cohomology of the N=1 spinning particle Getzler, Ezra Mathematical Physics Symplectic Geometry 81T70 (Primary) 53D55 (Secondary) 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. |
| title | The Moyal cohomology of the N=1 spinning particle |
| topic | Mathematical Physics Symplectic Geometry 81T70 (Primary) 53D55 (Secondary) |
| url | https://arxiv.org/abs/2603.29046 |