Unified framework for graviton, partially massless graviton, and photon fields in de Sitter spacetime under the conformal symmetry

We develop a conformally invariant (CI) framework in ($1+3$)-dimensional de Sitter (dS) spacetime, that unifies the descriptions of graviton, partially massless graviton, and photon fields. This framework is grounded in a rigorous group-theoretical analysis in the Wigner sense and employs Dirac's six-cone formalism. Originally introduced by Dirac, the concepts of conformal space and the six-cone formalism were used to derive the field equations for spinor and vector fields in ($1+3$)-dimensional Minkowski spacetime in a manifestly CI form. Our framework extends this approach to dS spacetime, unifying the treatment of massless and partially massless fields with integer spin $s>0$ under conformal symmetry. This unification enhances the understanding of fundamental aspects of gravitational theories in curved backgrounds.