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

Nicolas Boulanger
2007 Journal of High Energy Physics  
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
more » ... wn to satisfy a non-trivial descent of equations, similarly to the non-Abelian chiral anomaly in Yang-Mills theory.
doi:10.1088/1126-6708/2007/07/069 fatcat:pdpljyoalbestfhyewovnizg6i