Boundary theory of the X-cube model in the continuum

I study the boundary theory of the X-Cube model on T²xI from the perspective of continuum field theory. The boundary theory contains information about the statistics of a subset of the bulk excitations, and admits gapping terms that either break or preserve rotation and translation symmetries of the boundary. I discuss the computation of the ground state degenracy of the system with a gapped boundary, which is highly sensitive to boundary conditions. I also discuss the anomaly inflow of the mixed 't Hooft anomaly on the boundary, and find that the X-Cube is not the only theory that cancels it. I then discuss more complicated boundary terminations and their consequences.