English

Symmetries of de Sitter Particles and Amplitudes

High Energy Physics - Theory 2026-04-13 v2

Abstract

We discuss the symmetry aspects of quantum field theory in global four-dimensional de Sitter spacetime linked to SO(1,4)SO(1,4) isometries. For the unitary irreducible representations relevant to elementary particles, we obtain explicit transformation laws for the symmetry generators acting on one-particle states in a basis adapted to the SU(2)×SU(2)SU(2) \times SU(2)' decomposition of the Hilbert space. Using these results, we derive the corresponding Ward identities and demonstrate how global spacetime symmetries constrain de Sitter scattering amplitudes. We show that the Poincar\'e algebra and flat-space Ward identities are recovered in the large-momentum limit.

Keywords

Cite

@article{arxiv.2512.13781,
  title  = {Symmetries of de Sitter Particles and Amplitudes},
  author = {Audrey Lindsay and Tomasz R. Taylor},
  journal= {arXiv preprint arXiv:2512.13781},
  year   = {2026}
}

Comments

25 pages, 4 figures