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arXiv · 1507.03620

On the conformal properties of topological terms in even dimensions

Fabricio M. Ferreira·Ilya L. Shapiro·Poliane M. Teixeira
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Abstract

Conformal properties of the topological gravitational terms in $D=2$, $D=4$ and $D=6$ are discussed. It is shown that in the last two cases the integrands of these terms, when being settled into the dimension $D-1$ and multiplied by a scalar, become conformal invariant. Furthermore we present a simple covariant derivation of the Paneitz operator in $D=4$ and formulate two general conjectures concerning the conformal properties of topological structures in even dimensions.

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Fabricio M. Ferreira, Ilya L. Shapiro, Poliane M. Teixeira. 2015-07-13. On the conformal properties of topological terms in even dimensions. https://doi.org/10.1140/epjp%2Fi2016-16164-9

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