  The 3D Maxwell-Chern-Simons theory with planar, single-edged, boundary is
considered. It is shown that its holographic reduction on a flat euclidean 2D
spacetime is a scalar field theory describing a conserved chiral current, which
corresponds to the electric continuity equation. Differently from the theory
with planar, double-edged boundary, in this holographic bulk-boundary approach
physical quantities like the chiral velocity of the edge excitations depend
also on the non-topological Maxwell term.
