Generating charge from diffeomorphisms
Generating charge from diffeomorphisms
复制标题
从微分同胚产生电荷
DOI：
10.1088/1126-6708/2006/12/009
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发表时间：
2006
影响因子：
5.4
通讯作者：
P. Kraus
中科院分区：
文献类型：
--
作者：
J. Hansen;P. Kraus
我们揭示了AdSq × Sp时空中球角动量荷定义的一些微妙之处，或者等价地，对偶边界CFT中的R对称荷。在AdS3的背景下，已知电荷可以通过坐标变换产生，即使基本理论是非同态不变的。这是边界CFT中的谱流的体版本。我们将这种行为追溯到支持解的p型场强的特殊性质，并推导出角动量荷的显式公式。这一分析也揭示了边界理论中三维Chern-Simons项和手征反常的高维起源。
We unravel some subtleties involving the definition of sphere angular momentum charges in AdSq × Sp spacetimes, or equivalently, R-symmetry charges in the dual boundary CFT. In the AdS3 context, it is known that charges can be generated by coordinate transformations, even though the underlying theory is diffeomorphism invariant. This is the bulk version of spectral flow in the boundary CFT. We trace this behavior back to special properties of the p-form field strength supporting the solution, and derive the explicit formulas for angular momentum charges. This analysis also reveals the higher dimensional origin of three dimensional Chern-Simons terms and of chiral anomalies in the boundary theory.