The $H^{2|2}$ monotonicity theorem revisited
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866915892715061248 |
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| author | Huang, Yichao Zeng, Xiaolin |
| author_facet | Huang, Yichao Zeng, Xiaolin |
| contents | We use supersymmetric localization and integration by parts to derive variational and convex correlation inequalities in statistical physics. As a primary application, we give an alternative proof of the monotonicity theorem for the $H^{2|2}$ supersymmetric hyperbolic sigma model. This recovers a result of Poudevigne without relying on probabilistic couplings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_25536 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The $H^{2|2}$ monotonicity theorem revisited Huang, Yichao Zeng, Xiaolin Probability Mathematical Physics We use supersymmetric localization and integration by parts to derive variational and convex correlation inequalities in statistical physics. As a primary application, we give an alternative proof of the monotonicity theorem for the $H^{2|2}$ supersymmetric hyperbolic sigma model. This recovers a result of Poudevigne without relying on probabilistic couplings. |
| title | The $H^{2|2}$ monotonicity theorem revisited |
| topic | Probability Mathematical Physics |
| url | https://arxiv.org/abs/2603.25536 |