7 problems

Let $T$ be a finite Abelian group, let $G$ be a finite symmetry group, and let $L$ be an MBL LIOM algebra in the MBL phase of the $T$-quantum-double model. Let $\mathcal{U}$ be a…

Boundary-map classification conjecture. All maps $B$ satisfying

General boundary-term conjecture. More general solutions to the boundary consistency constraints should have the form

Let $I\mapsto\fB(I)$ be the one-dimensional net of boundary algebras associated with a locally topologically ordered spin system and a half-plane bounded by a one-dimensional subla…

Boundary duality conjecture. The duality for the boundary can also be characterized by twist deformation of the two $W$-comodule algebras $\mathfrak{A}_1$ and $\mathfrak{A}_2$.

Let $m$ be a divisor of $n$, and consider ground states of the quantum double models $D(\mathbb{Z}_m)$ and $D(\mathbb{Z}_n)$. A fast local Lindbladian evolution is understood as a…

Let $G$ be a finite group. Let $4\Delta4$ be the category of localised and transportable endomorphisms of the quantum double model, and let $4\operatorname{Rep}_f \mathcal{D}(G)4$…