5 problems

Anomaly-indicator conjecture. These two expressions are the corresponding anomaly indicators for 3D topological phases protected by $SO(3)\times Z_2^\mathcal{T}$. The proposed indi…

Let $G$ be a compact gauge group, let $k\in H^4(BG,\mathbb{Z})$ define a non-Abelian (spin) Chern–Simons theory, and let ${\cal C}(G_k)$ be the corresponding (super-) modular tenso…

Let $G$ be the compact gauge group of a non-Abelian (spin) Chern–Simons theory, with level $k$ determining the corresponding modular or super-modular tensor category…

Let an MTC be a modular tensor category, and let its higher Gauss sums be the invariants associated to the category. Reality criterion. Any MTC whose higher Gauss sums are all real…

The three-fermion phase is described by a unitary modular tensor category (UMTC) with four anyons: the trivial anyon and three fermions. Its fusion rules are those of the toric cod…