%0 Journal Article
%T Conformal linear gravity in de Sitter space
%A M. V. Takook
%A M. R. Tanhayi
%A S. Fatemi
%J Mathematics
%D 2009
%I arXiv
%R 10.1063/1.3321581
%X It has been shown that the theory of linear conformal quantum gravity must include a tensor field of rank-3 and mixed symmetry [1]. 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, $\K_{\alpha\beta}$ related to graviton, we will define homomorphisms between them. Our main result is that if one insists $\K_{\alpha\beta}$ to be a unitary irreducible representation of de Sitter and conformal groups it must satisfy a filed equation of order 6, which is obtained.
%U http://arxiv.org/abs/0903.5249v2