A group theoretical approach to graviton two-point function

Abstract

Respecting the group theoretical approach, it is debated that the theory of linear conformal gravity should be formulated through a tensor field of rank-3 and mixed symmetry (Binegar et al., Phys Rev D 27: 2249, 1983). Pursuing this path, such a field equation was obtained in de Sitter space (Takook et al., J Math Phys 51:032503, 2010). In the present work, considering the de Sitter ambient space notation, a proper solution to the physical part of this field equation is obtained. We have also calculated the related two-point function, which is interestingly de Sitter invariant and free of an infrared divergence.