Exponential decay of correlations at high temperature in $H^{2|2n}$ nonlinear sigma models

Margherita Disertori, Javier Durán Fernández, Luca Fresta

We consider a family of nonlinear sigma models on ${\mathbb{Z}}^d$ whose target space is the hyperbolic super manifold $H^{2|2n}$, $n>1$, introduced by Crawford as an extension of…