5 problems

Mutual-entropy ground-state area-law conjecture. The area law for ground states can be formulated in terms of mutual entropy instead of von Neumann entropy.

Evenness conjecture. The evenness of \vp^{\beta}^{\beta}^{\beta}^{\beta}^{\beta}^{\beta}^{\beta}^{\beta}^{\beta} can be derived from either the LTS condition alone or the Gibbs c…

Anomaly obstruction conjecture. A nonzero 2d anomaly index should obstruct the existence of $G$-invariant invertible 2d states.

Let $\mathfrak{A}^F$ be the infinite fermion lattice system, and consider creation-annihilation pair interactions with an alternative $\pm$ sign for each pair. A cancellation conje…

Consider a quantum lattice system with a continuous symmetry whose unique ground state exhibits long-range order but no spontaneous symmetry breaking. Suppose that the low-lying ex…