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.
Holographic reduction of Maxwell-Chern-Simons theory
Nicola Maggiore
2018-01-01
Abstract
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.
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