The $H^{2|2}$ monotonicity theorem revisited
Probability
2026-03-27 v1 Mathematical Physics
math.MP
Abstract
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 supersymmetric hyperbolic sigma model. This recovers a result of Poudevigne without relying on probabilistic couplings.
Keywords
Cite
@article{arxiv.2603.25536,
title = {The $H^{2|2}$ monotonicity theorem revisited},
author = {Yichao Huang and Xiaolin Zeng},
journal= {arXiv preprint arXiv:2603.25536},
year = {2026}
}
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15 pages