2009/03/31 by M. V. Takook, Mohammad Reza Tanhayi, M. R. Tanhayi +2
Mathematics · Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Conformal anomaly #Conformal field theory #Conformal gravity #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #De Sitter space #De Sitter universe #Exact solutions in general relativity #Gravitation #Graviton #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Symmetric tensor #Tensor (intrinsic definition) #Universe #de Sitter invariant special relativity #gr-qc
paper · pdf · doi:10.1063/1.3321581
published as J.Math.Phys.51:032503,2010 · 10 pages
openalex publication_date 2010/03/01 · arxiv created 2010/06/04 · arxiv updated 2014/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It has been shown that the theory of linear conformal quantum gravity must include a tensor field of rank-3 and mixed symmetry [Binegar et al., Phys. Rev. D 27, 2249 (1983)]. In this paper, we obtain the corresponding field equation in de Sitter space. Then, in order to relate this field with the symmetric tensor field of rank-2, Kαβ related to graviton, we will define homomorphisms between them. Our main result is that if one insists Kαβ to be a unitary irreducible representation of de Sitter and conformal groups, it must satisfy a field equation of order of 6, which is obtained.