Classification of intrinsically mixed $1+1$D non-invertible Rep$(G)\times G$ SPT phases

Youxuan Wang

We classify $1+1$d bosonic SPT phases with non-invertible symmetry $\mathrm{Rep}(G)\times G$, equivalently the fusion-category symmetry $\mathcal{H}=\mathrm{Rep}(G)\times\mathrm{Ve…