论文标题
部分可观测时空混沌系统的无模型预测
Holographic Anomalous Chiral Current Near a Boundary
论文作者
论文摘要
由于Weyl异常，轴向矢量场在带有边界的时空中会产生新型的异常手性电流。值得注意的是，在轴向矢量场的仪表转换下，手性电流并不是不变的。结果，出现了更多的潜在项，并且手性电流比边界附近的电流大。本文研究了ADS/BCFT中的异常手性电流。我们发现，轴向矢量场的最小全息模型无法产生预期的手性电流。为了解决此问题，我们建议添加合适的边界动作。此外，我们注意到全息凝结的类似情况。最后，我们获得了全息手性电流的形状依赖性，并验证它是否与现场理论结果一致。
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.
