3 problems

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Low-temperature rigidity conjecture for the QSOS model
Let $H_{QSOS}=P_{QSOS}H_{XXZ}P_{QSOS}$ be the Hamiltonian of the QSOS model, where $P_{QSOS}$ is the orthogonal projection onto the QSOS Hilbert space, and let $d$ be the dimension…
Conjectureopenphase-transitions quantum-spin-systems solid-on-solid-modelsarXiv posted 2 days ago
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The tilted SOS roughening conjecture
Tilted SOS roughening conjecture. The slope should destabilize rigidity and induce Gaussian free field-type behavior of the surface at small $\beta$ .
Conjectureopengaussian-free-field roughening-transitions solid-on-solid-modelsarXiv posted 2 days ago
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Critical-height concentration conjecture for the pinned solid-on-solid surface
Critical-height concentration conjecture. When $h=h_w$ , the surface height should concentrate around $H_w$ , with fluctuations similar to those in the subcritical regime described b…
Conjectureopenpinning-models random-surfaces solid-on-solid-modelsarXiv posted 2 days ago

Low-temperature rigidity conjecture for the QSOS model