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

2006/11/30 by Ruben Manvelyan, D. H. Tchrakian
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #Euler's formula #Geometry #Invariant (physics) #Laplace operator #Magnetic field #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum field theory #Quantum mechanics #Scalar (mathematics) #Scaling #Scaling dimension #Spacetime #Vector Laplacian #hep-th

paper · pdf · doi:10.1016/j.physletb.2006.12.027

published as Phys.Lett.B644:370-374,2007 · Latex, 11 pages, v.2, two misprints corrected

openalex publication_date 2006/12/21 · arxiv created 2007/07/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The hierarchy of conformally coupled scalars with the increasing scaling dimensions Δ_k=k-d/2, k=1,2,3,... connected with the k-th Euler density in the corresponding space-time dimensions d≥ 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.

Citations

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