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arXiv · 2501.07367

A unified framework for graviton, "partially massless" graviton, and photon fields in de Sitter spacetime under conformal symmetry

Jean-Pierre Gazeau·Hamed Pejhan
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Abstract

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 concept 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.

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Jean-Pierre Gazeau, Hamed Pejhan. 2025-01-13. A unified framework for graviton, "partially massless" graviton, and photon fields in de Sitter spacetime under conformal symmetry. https://doi.org/10.1103/physrevd.111.105003

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