General holographic chiral theory near a boundary

Abstract

Because of the Weyl anomaly, the background axial vector field induces novel chiral currents near a boundary. Recently, a non-minimal holographic chiral model has been proposed to produce the expected chiral current. The critical point is adding a boundary mass term Aˆ2 of the axial vector field. This paper investigates the holographic chiral model with general boundary action in AdS/BCFT. We find the nonlinear gauge-violating boundary interactions V1(Aˆ2) generally lead to ghost instability and the singularity problem. On the other hand, the mass term Aˆ2 and gauge-invariant interactions V2(Fˆ2) are free of these issues. For the squared boundary action with mass and kinetic terms, we analyze the holographic chiral current near a boundary. We work out more subleading terms and verify they agree with the field-theoretical results. We find the boundary kinetic term affects only the finite term of chiral currents. Finally, we briefly comment on the applications of our model in cone double holography.