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| Natura: | Preprint |
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2025
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| Accesso online: | https://arxiv.org/abs/2510.00655 |
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| _version_ | 1866909818420199424 |
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| author | Boffo, Eugenia Cederwall, Martin |
| author_facet | Boffo, Eugenia Cederwall, Martin |
| contents | We show that the classical Batalin--Vilkovisky cohomology at negative ghost number of the spinning particle, observed in ref. arXiv:1511.02135, is removed by a Koszul--Tate resolution involving saturation of Grassmann odd variables. The model thus satisfies the axioms of Felder and Kazhdan. The AKSZ formulation of the resolved model is described. We reveal partial information on the resolution of the constrained phase space, which involves resolving the parity-shifted tangent sheaf of the light-cône. Specialising to dimension one, we describe the full resolution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_00655 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Classical BV cohomology of the $N=1$ spinning particle Boffo, Eugenia Cederwall, Martin Mathematical Physics High Energy Physics - Theory We show that the classical Batalin--Vilkovisky cohomology at negative ghost number of the spinning particle, observed in ref. arXiv:1511.02135, is removed by a Koszul--Tate resolution involving saturation of Grassmann odd variables. The model thus satisfies the axioms of Felder and Kazhdan. The AKSZ formulation of the resolved model is described. We reveal partial information on the resolution of the constrained phase space, which involves resolving the parity-shifted tangent sheaf of the light-cône. Specialising to dimension one, we describe the full resolution. |
| title | Classical BV cohomology of the $N=1$ spinning particle |
| topic | Mathematical Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2510.00655 |