Conformal coupling of the scalar field with gravity in higher dimensions and invariant powers of the Laplacian

Details Conformal coupling of the scalar field with gravity in higher dimensions and invariant powers of the Laplacian Conformal coupling of the scalar field with gravity in higher dimensions and invariant powers of the Laplacian

2006-11-07

arxiv.org/abs/hep-th/0611077v2

Phys.Lett.B644:370-374,2007

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 11 pages, v.2, two misprints corrected

Scientific paper

10.1016/j.physletb.2006.12.027

The hierarchy of conformally coupled scalars with the increasing scaling dimensions $\Delta_{k}=k-d/2$, $k=1,2,3,... $ connected with the $k$-th Euler density in the corresponding space-time dimensions $d\geq 2k$ is proposed. The corresponding conformal invariant Lagrangian with the $k$-th power of Laplacian for the already known cases $k=1,2$ is reviewed, and the subsequent case of $k=3$ is completely constructed and analyzed.

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