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29 March 2024
 
  » arxiv » 1607.7312

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Conformal Anomalies and Gravitational Waves
Krzysztof A. Meissner ; Hermann Nicolai ;
Date 25 Jul 2016
AbstractWe argue that the presence of conformal anomalies in gravitational theories can lead to observable modifications to Einstein’s equations via the induced anomalous effective actions, whose non-localities can overwhelm the smallness of the Planck scale. The fact that no such effects have been seen in recent cosmological or gravitational wave observations therefore imposes strong restrictions on the field content of possible extensions of Einstein’s theory: all viable theories should have vanishing conformal anomalies. We then show that, among presently known theories, a complete cancellation of conformal anomalies in $D=4$ for both the $C^2$ invariant and the Euler (Gauss-Bonnet) invariant $E_4$ can only be achieved for $N$-extended supergravities with $Ngeq 5$, as well as for M theory compactified to four dimensions.
Source arXiv, 1607.7312
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