Glide symmetry protected topological phases in interacting bosons and fermions

We classify and construct glide symmetry protected topological (GSPT) phases of interacting bosons and fermions in three dimensions. We focus on the systems with U(1) charge conservation and/or time reversal symmetry. Using a stacked plane construction, we also identify the anomalous surface topological orders of these GSPT phases, one example being the hourglass fermions in three-dimensional glide-protected topological insulator.