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

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.

9 pages. RevTeX file

References in corpus (2)

• Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism
• Algebraic Classification of Weyl Anomalies in Arbitrary Dimensions

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