Modular Classes and Supersymmetric Berezin Volumes
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914200480120832 |
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| author | Bruce, Andrew James |
| author_facet | Bruce, Andrew James |
| contents | We argue that modular classes of Q-manifolds provide an efficient method for addressing the existence of supersymmetric Berezin volumes in the supergeometric representation theory of the $\mathcal{N}=2$ $d=1$ supertranslation algebra. We establish a cohomological coherence criterion for the existence of a Berezin volume that is invariant under both of the supercharges. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_12269 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Modular Classes and Supersymmetric Berezin Volumes Bruce, Andrew James High Energy Physics - Theory Mathematical Physics Differential Geometry 17B66, 58A50, 58C50 We argue that modular classes of Q-manifolds provide an efficient method for addressing the existence of supersymmetric Berezin volumes in the supergeometric representation theory of the $\mathcal{N}=2$ $d=1$ supertranslation algebra. We establish a cohomological coherence criterion for the existence of a Berezin volume that is invariant under both of the supercharges. |
| title | Modular Classes and Supersymmetric Berezin Volumes |
| topic | High Energy Physics - Theory Mathematical Physics Differential Geometry 17B66, 58A50, 58C50 |
| url | https://arxiv.org/abs/2512.12269 |