Unitary SUSY for the chiral graviton and chiral gravitino in de Sitter spacetime

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Main Authors: Higuchi, Atsushi, Letsios, Vasileios A.
Format: Preprint
Published: 2025
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author Higuchi, Atsushi
Letsios, Vasileios A.
author_facet Higuchi, Atsushi
Letsios, Vasileios A.
contents It is commonly believed that a unitary supersymmetric quantum field theory (QFT) involving graviton and gravitino fields on fixed 4-dimensional de Sitter spacetime ($dS_4$) 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 $dS_4$ : 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 arxiv:2503.04515.
format Preprint
id arxiv_https___arxiv_org_abs_2511_14949
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Unitary SUSY for the chiral graviton and chiral gravitino in de Sitter spacetime
Higuchi, Atsushi
Letsios, Vasileios A.
High Energy Physics - Theory
General Relativity and Quantum Cosmology
Mathematical Physics
It is commonly believed that a unitary supersymmetric quantum field theory (QFT) involving graviton and gravitino fields on fixed 4-dimensional de Sitter spacetime ($dS_4$) 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 $dS_4$ : 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 arxiv:2503.04515.
title Unitary SUSY for the chiral graviton and chiral gravitino in de Sitter spacetime
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
Mathematical Physics
url https://arxiv.org/abs/2511.14949