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Conformal Trace Relations from the Dilaton Wess-Zumino Action · Around

2013

Conformal Trace Relations from the Dilaton Wess-Zumino Action

Coriano, Claudio, Rose, Luigi Delle, Marzo, Carlo et al.

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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.

Built on

Observations on Conformal Anomalies
M. J. Duff, · 1977
Earlier work this paper cites.
A Nonlocal Action for the Trace Anomaly
R.J. Riegert, · 1984
Earlier work this paper cites.
Four dimensional quantum gravity in the conformal sector
I. Antoniadis, E. Mottola, · 1992
Earlier work this paper cites.
The Holographic Weyl anomaly
M. Henningson, K. Skenderis, · 1998
Earlier work this paper cites.

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