English

On the conformal properties of topological terms in even dimensions

General Relativity and Quantum Cosmology 2016-05-25 v3 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

Conformal properties of the topological gravitational terms in D=2D=2, D=4D=4 and D=6D=6 are discussed. It is shown that in the last two cases the integrands of these terms, when being settled into the dimension D1D-1 and multiplied by a scalar, become conformal invariant. Furthermore we present a simple covariant derivation of the Paneitz operator in D=4D=4 and formulate two general conjectures concerning the conformal properties of topological structures in even dimensions.

Keywords

Cite

@article{arxiv.1507.03620,
  title  = {On the conformal properties of topological terms in even dimensions},
  author = {Fabricio M. Ferreira and Ilya L. Shapiro and Poliane M. Teixeira},
  journal= {arXiv preprint arXiv:1507.03620},
  year   = {2016}
}

Comments

New results and important references added, some formulations improved. Fits published version