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arXiv 0704.2472hep-thgr-qc
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Weyl反常的Wess-Zumino相容性条件的通解

General solutions of the Wess-Zumino consistency condition for the Weyl anomalies

Nicolas Boulanger

摘要:

导出了共形(或Weyl,或迹)异常的Wess-Zumino相容性条件的一般解。在任意维数下,通过明确计算相应的Becchi-Rouet-Stora-Typhoon微分在鬼数单位的积分局部函数空间中的上同调,得到了解。这提供了一个纯粹的代数,正则化独立的分类外尔异常在任意尺寸。所谓的A型反常满足方程的非平凡下降,类似于杨-米尔斯理论中的非阿贝尔手征反常。

英文摘要:

The general solutions of the Wess-Zumino consistency condition for the conformal (or Weyl, or trace) anomalies are derived. The solutions are obtained, in arbitrary dimensions, by explicitly computing the cohomology of the corresponding Becchi-Rouet-Stora-Tyutin differential in the space of integrated local functions at ghost number unity. This provides a purely algebraic, regularization-independent classification of the Weyl anomalies in arbitrary dimensions. The so-called type-A anomaly is shown to satisfy a non-trivial descent of equations, similarly to the non-Abelian chiral anomaly in Yang-Mills theory.

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