2 problems

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Loebl–Vondrák's upper-bound conjecture for square-lattice ground state entropy
Let $\hat{S_0}$ denote the ground state entropy density of the Ising model, and consider square lattices with toroidal boundary conditions. Loebl and Vondrák obtained an upper boun…
Conjectureopenground-state-entropy ising-model statistical-mechanicsarXiv posted 2 days ago
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Exact ground-state entropy conjecture for the periodic cubic-fermion chain
Consider the periodic chain at $g=0$ , with $N$ sites and $Z$ zero-energy ground states. The ground-state entropy per site is $S_{\rm GS}/N=\ln Z/N$ . Ground-state entropy conjecture…
Conjectureopenground-state-entropy many-body-physics supersymmetryarXiv posted 2 days ago

Loebl–Vondrák's upper-bound conjecture for square-lattice ground state entropy