Conformal anomaly in Weyl theory and anomaly free superconformal theories

Details Conformal anomaly in Weyl theory and anomaly free superconformal theories Conformal anomaly in Weyl theory and anomaly free superconformal theories

Jan 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984phlb..134..187f&link_type=abstract

Physics Letters B, Volume 134, Issue 3-4, p. 187-193.

Physics

142

Scientific paper

We present the correct expression for conformal anomaly in Weyl theory implying its perturbative non-renormalizability. As a by-product it is found that non-singular cosmologies exist in quantized Weyl theory. The absence of conformal anomalies in theories incorporating local conformal invariance is proposed as necessary requirement for their consistency. Several superconformal theories, including N=4 SU2×U1 super Yang-Mills interacting with N=4 conformal supergravity, are shown to satisfy this restriction, i.e. to be completely finite (at least at one loop).

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