(16.10.) Unitary Rigid Supersymmetry for the Chiral Graviton and Chiral Gravitino in de Sitter Spacetime
Vasileios Letsios (Université de Mons)
16.10.2025 at 16:15
It is commonly believed that a unitary supersymmetric quantum field theory (QFT) involving graviton and gravitino fields on fixed 4-dimensional de Sitter spacetime (dS4 ) cannot exist due to known challenges associated with supersymmetry (SUSY) on spaces with positive cosmological constant. In this talk, we contradict this expectation by presenting a new unitary supersymmetric QFT on fixed dS4 : the free supersymmetric theory of the chiral graviton and chiral gravitino fields. The theory overcomes the known obstacles to unitary global SUSY on de Sitter because the commutator between two SUSY transformations closes on the conformal algebra so(4,2) rather than the de Sitter algebra so(4,1). Crucially, the so(4,2) symmetry is realised through unconventional conformal-like transformations. Based on joint work with Atsushi Higuchi: https://arxiv.org/abs/2503.04515
A348