1306.4248 (Claudio Coriano et al.)

Conformal Trace Relations from the Dilaton Wess-Zumino Action    [PDF]

Claudio Coriano, Luigi Delle Rose, Carlo Marzo, Mirko Serino

We use the method of Weyl-gauging in the determination of the Wess-Zumino conformal anomaly action, to show that in any even ($d = 2 k$) dimensions all the hierarchy of correlation functions involving traces of the energy-momentum tensor is determined in terms of those of lower orders, up to $2 k$. We work out explicitly the case $d=4$, and show that in this case in any conformal field theory only the first 4 traced correlators are independent. All the remaining correlators are recursively generated by the first 4. The result is a consequence of the cocycle condition which defines the Wess-Zumino action and of the finite order of its dilaton interactions.

View original: http://arxiv.org/abs/1306.4248