Holographic Anomalous Chiral Current Near a Boundary

TL;DR

This paper explores the behavior of anomalous chiral currents near boundaries in holographic models, revealing the need for boundary actions to match field theory predictions and analyzing shape dependence.

Contribution

It introduces a boundary action in holographic models to accurately reproduce anomalous chiral currents near boundaries, addressing limitations of minimal models.

Findings

Holographic minimal models fail to produce expected chiral currents.

Adding boundary actions aligns holographic results with field theory.

Chiral current shape dependence matches theoretical predictions.

Abstract

Due to the Weyl anomaly, an axial vector field produces novel anomalous chiral currents in spacetime with boundaries. Remarkably, the chiral current is not invariant under the gauge transformation of axial vector fields. As a result, more potential terms appear, and the chiral current becomes larger than the electric current near the boundary. This paper investigates the anomalous chiral current in AdS/BCFT. We find that the minimal holographic model of the axial vector field cannot produce the expected chiral current. To resolve this problem, we propose adding a suitable boundary action. Furthermore, we notice a similar situation for holographic condensation. Finally, we obtain the shape dependence of holographic chiral current and verify that it agrees with the field-theoretical result.