Holographic reduction of Maxwell-Chern-Simons theory

TL;DR

This paper demonstrates that the holographic reduction of 3D Maxwell-Chern-Simons theory with a single boundary results in a 2D scalar field theory describing a conserved chiral current, with physical quantities influenced by the Maxwell term.

Contribution

It provides a novel holographic reduction of Maxwell-Chern-Simons theory with a single boundary, highlighting the role of non-topological terms in edge dynamics.

Findings

Holographic reduction yields a scalar field theory for chiral currents.

Edge excitation velocity depends on Maxwell term, unlike in double-edged boundary cases.

Physical quantities are affected by non-topological Maxwell contributions.

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.