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arXiv · 2603.25536

The $H^{2|2}$ monotonicity theorem revisited

Yichao Huang·Xiaolin Zeng
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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 $H^{2|2}$ supersymmetric hyperbolic sigma model. This recovers a result of Poudevigne without relying on probabilistic couplings.

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Yichao Huang, Xiaolin Zeng. 2026-03-26. The $H^{2|2}$ monotonicity theorem revisited. https://arxiv.org/abs/2603.25536

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