Position-Dependent Excitations and UV/IR Mixing in the ${\mathbb{Z}}_N$ Rank-2 Toric Code and its Low-Energy Effective Field Theory

Salvatore D. Pace, Xiao-Gang Wen

We investigate how symmetry and topological order are coupled in the $2+1$d ${\mathbb{Z}}_N$ rank-2 toric code for general $N$, which is an exactly solvable point in the Higgs ph…