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 extends a result of Poudevigne to a stronger multivariate convex comparison inequality, without relying on probabilistic couplings.
From: Yichao Huang [view email]
[v1]
Thu, 26 Mar 2026 15:12:25 UTC (15 KB)
[v2]
Sat, 12 Sep 2026 03:58:42 UTC (17 KB)
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