CONFORMAL-INVARIANCE AND COSMIC BACKGROUND-RADIATION

The spectrum and statistics of the cosmic microwave background radiati on (CMBR) are investigated under the hypothesis that scale invariance of the primordial density fluctuations should be promoted to full conf ormal invariance, allowing for deviations from naive scaling. The spec tral index of the two-point function of density fluctuations is determ ined by the trace anomaly to be greater than one, implying less power at large distance scales than a Harrison-Zel'dovich spectrum. Conforma l invariance also implies non-Gaussian Statistics of the CMBR and dete rmines the large angular dependence of its three-point correlations.