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arXiv · 0704.2472

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

Nicolas Boulanger
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Abstract

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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Nicolas Boulanger. 2007-04-19. General solutions of the Wess-Zumino consistency condition for the Weyl anomalies. https://doi.org/10.1088/1126-6708%2F2007%2F07%2F069

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