5 problems

Let $G$ be a finite group and consider an untwisted $G$ gauge theory, meaning that the Dijkgraaf–Witten cocycle in $H^4(BG,\operatorname{U}(1))$ is trivial. Assume that the theory…

A topological twist string is an invertible codimension-2 defect in a $(3+1)$D topological phase. It can be constructed either by a layer construction from a $(2+1)$D topological p…

Let $A_6$ be the alternating group on six letters, and let $\rho_1$ and $\rho_2$ be the automorphisms of the $A_6$ gauge theory discussed in the source. Their composite…

Let $G$ be a finite group, let $g,h\in G$ be a commuting pair, and define $Z_{(g,h)}:=\sigma_{[g]}(h)$, where $\sigma_{[g]}\in\mathcal{H}^1(C_g,\operatorname{U}(1))$ characterizes…

The $(2+1)$-dimensional Ablowitz–Ladik lattice and the space-discrete Davey–Stewartson system are integrable lattice systems with mutually commuting elementary flows in the lattice…