论文标题
Weyl在本地渐近广告中的收费$ _3 $ spaceTimes
Weyl Charges in Asymptotically Locally AdS$_3$ Spacetimes
论文作者
论文摘要
我们讨论了三维广告中棕色 - 黑应边界条件的增强，以涵盖边界指标的Weyl转换。产生的渐近对称代数在发电机的场依赖性重新定义后，是Witt代数和Weyl Abelian部门的两个副本的直接总和。与Weyl转化相关的电荷是非呈现的，可集成但由于weyl异常系数驱动的通量而无法保守。电荷代数接收与众所周知的Weyl异常有关的Weyl部门中的额外的非平凡中央延伸。然后，我们构建全息叶基电流，并表明它满足了边界理论的异常病房的身份。
We discuss an enhancement of the Brown-Henneaux boundary conditions in three-dimensional AdS General Relativity to encompass Weyl transformations of the boundary metric. The resulting asymptotic symmetry algebra, after a field-dependent redefinition of the generators, is a direct sum of two copies of the Witt algebra and the Weyl abelian sector. The charges associated to Weyl transformations are non-vanishing, integrable but not conserved due to a flux driven by the Weyl anomaly coefficient. The charge algebra admits an additional non-trivial central extension in the Weyl sector, related to the well-known Weyl anomaly. We then construct the holographic Weyl current and show that it satisfies an anomalous Ward-Takahashi identity of the boundary theory.
