8 problems

Domain-wall decomposition conjecture. Any gapped domain wall of the form

Generalized pull-open conjecture. Any stable gapped domain wall ${}_B\CM_B$ is equivalent to

Let $\mathsf{B}^{n+1}$ be a background phase and let $\mathsf{C}^{n+1}$ be an $(n+1)$D anomaly-free topological order. An MCLP lattice model over $\mathsf{B}^{n+1}$ has a local spi…

Let $G$ be a finite group. A minimal modular extension of $\operatorname{2Rep}(G)$ is a unitary modular tensor 2-category equipped with a braided monoidal fully faithful embedding…

Let $(\widetilde N^{ab}_c,\widetilde s_a;N^{ij}_k,s_i;\mathcal N^{IJ}_K,\mathcal S_I;c)$ denote the specified fusion, spin, modular-extension and central-charge data, subject to th…

Let $\cE$ be the symmetry category, let $\cC$ be a non-degenerate unitary braided fusion category over $\cE$, and let $\cM$ be a modular extension of $\cC$. Let $c$ be the central…

Let $G^f$ be a fermionic symmetry group and let $\cE=\operatorname{sRep}(G^f)$ be the corresponding symmetric fusion category. Let $\cM$ be a modular extension of $\cE$, and let…

Let $G$ be a symmetry group and let $\cE=\operatorname{Rep}(G)$. A modular extension $\cM$ of $\cE$ is a UMTC containing $\cE$ fully faithfully and satisfying the defining centrali…