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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.03231 |
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| _version_ | 1866913776114073600 |
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| author | Boffo, Eugenia Grassi, Pietro Antonio Hulík, Ondřej Sachs, Ivo |
| author_facet | Boffo, Eugenia Grassi, Pietro Antonio Hulík, Ondřej Sachs, Ivo |
| contents | We compute the partition function for the $N=1$ spinning particle, including pictures and the large Hilbert space, and show that it counts the dimension of the BRST cohomology in two- and four-dimensional target space. We also construct a quadratic action in the target space. Furthermore, we find a consistent interaction as a derived bracket based on the associative product of world line fields, leading to an interacting theory of multiforms in space-time. Finally, we comment on the equivalence of the multiform theory with a Dirac fermion. We also identify the chiral anomaly of the latter with a Hodge anomaly for the multiform theory, which manifests itself as a deformation of the gauge fixing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_03231 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Spinning Particles, their Partition Functions and Picture Changing Operators Boffo, Eugenia Grassi, Pietro Antonio Hulík, Ondřej Sachs, Ivo High Energy Physics - Theory Mathematical Physics We compute the partition function for the $N=1$ spinning particle, including pictures and the large Hilbert space, and show that it counts the dimension of the BRST cohomology in two- and four-dimensional target space. We also construct a quadratic action in the target space. Furthermore, we find a consistent interaction as a derived bracket based on the associative product of world line fields, leading to an interacting theory of multiforms in space-time. Finally, we comment on the equivalence of the multiform theory with a Dirac fermion. We also identify the chiral anomaly of the latter with a Hodge anomaly for the multiform theory, which manifests itself as a deformation of the gauge fixing. |
| title | On Spinning Particles, their Partition Functions and Picture Changing Operators |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2504.03231 |