4 problems

Let $\mathcal C$ be a modular fusion category, let $\mathbb A$ be an orbifold datum in the 3-category $\mathcal D_{\mathcal C}$ associated to $\mathcal C$, and let…

Consider three-dimensional interacting systems and the operation of gauging a global symmetry of an SPT phase. Gauging conjecture. All topological phases in three-dimensional inter…

Let $N$ be a positive integer, and let ${\mathcal{C}}$ be the modular tensor category of dyslectic $\mathbf{1} \oplus ((4N-1)\Lambda_1)$-modules in…

A weakly-integral modular category is a modular category in which every simple object $X$ has integer squared quantum dimension $d_X^2$. A pointed modular category is a modular cat…