2 problems

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Conjecture on the optimal small-field two-point-function bound for the hyperbolic supersymmetric model
Let $G_{\beta,h}(0)$ denote the two-point function at the origin for the $\mathbb{H}^{2|2}$ model, with inverse-temperature parameter $\beta$ and magnetic field $h>0$ . The precedin…
Conjectureopenhyperbolic-sigma-models statistical-mechanicsarXiv posted 2 days ago
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Absence of extended states in low-dimensional hyperbolic sigma models
The model describes disordered systems with a non-compact hyperbolic symmetry, and extended states are associated with spontaneous breaking of that symmetry. In dimension…
Conjectureopenanderson-localization hyperbolic-sigma-modelsarXiv posted 2 days ago

Conjecture on the optimal small-field two-point-function bound for the hyperbolic supersymmetric model