Holographic Anomalous Chiral Current Near a Boundary
arXiv:2210.05203 · doi:10.1016/j.physletb.2023.137700
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.
arXiv comment12 pages, 0 figure, revision accepted for publication in PLB
References in corpus (22)
- Hydrodynamics with Triangle Anomalies
- Twenty Years of the Weyl Anomaly
- Fluid dynamics of R-charged black holes
- Holographic Dual of BCFT
- Charge separation induced by P-odd bubbles in QCD matter
- The Chiral Magnetic Effect and Anomaly-Induced Transport
- Gravitational Anomaly and Transport
- Primordial Hypermagnetic Fields and Triangle Anomaly
- Notes on Anomaly Induced Transport
- Thermodynamics, gravitational anomalies and cones
- Universality of transport properties in equilibrium, Goldstone theorem and chiral anomaly
- (Non)-Renormalization of the Chiral Vortical Effect Coefficient
- Views of the Chiral Magnetic Effect
- A Nernst current from the conformal anomaly in Dirac and Weyl semimetals
- Anomalous Transport Due to the Conformal Anomaly
- Weyl Anomaly Induced Current in Boundary Quantum Field Theories
- Quantum Dirac fermions in half space and their interaction with electromagnetic field
- Fermi Condensation induced by Weyl Anomaly
- Conformal magnetic effect at the edge: a numerical study in scalar QED
- How many surface modes does one see on the boundary of a Dirac material?
- Anomalous Current Due to Weyl Anomaly for Conformal Field Theory
- Note on anomalous currents for a free theory