7 problems

Let $G$ be the physical symmetry group. Let $o_2\in H^2(G,\mathbb{Z}_2)$ be the obstruction to extending the $G$-action from a super modular category to its $\mathbb{Z}_2^f$ modula…

Let $G$ be the symmetry group, and let an anomalous $2+1$D fermionic symmetry-enriched topological phase have obstruction in $H^2(G,\mathbb{Z}_2)$. A Kitaev chain layer is the bulk…

Let $G$ be the physical symmetry group. A q-type string is called sigma-type when it is conserved modulo $2$ in the fusion rules of surface models. The $H^2(G,\mathbb{Z}_2)$ fermio…

Let $\tilde\beta$ be the bosonic-shadow theory and $\tilde\alpha$ the corresponding fermionic anomaly theory, with a conjectural defect $\tilde z_c$ relating them. Invertibility-tr…

Let $\mathcal{C}$ be a super modular tensor category with fermionic symmetry data $(G_b,s,\omega)$, and let $\mathcal{B}$ be a unitary modular tensor category that is a minimal mod…

Let $G$ be a fermionic symmetry acting on a super modular tensor category, with anomaly $\tilde\alpha$. Let $F_{\tilde\alpha}$ be the Dijkgraaf–Witten-type theory obtained by summi…

A super modular tensor category with a fermionic group action determines a $(3+1)$-dimensional topological field theory whose partition functions give anomaly indicators on $4$-man…