A unique coupling of the massive spin-2 field to supergravity

Fuente: arXiv
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Autores principales: Bossard, Guillaume, Casagrande, Gabriele, Dudas, Emilian, Loty, Adrien
Formato: Preprint
Publicado: 2025
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author Bossard, Guillaume
Casagrande, Gabriele
Dudas, Emilian
Loty, Adrien
author_facet Bossard, Guillaume
Casagrande, Gabriele
Dudas, Emilian
Loty, Adrien
contents We show that the coupling of a massive spin-2 field to undeformed N=1 supergravity in four dimensions is unique, leading to a specific non-minimal coupling to the Riemann tensor. The massive spin-2 coupling reproduces the one of an oscillator mode in open string theory, while the massive spin-1 coupling includes a higher-derivative term that is expected to violate causality in the background of a gravitational shock wave. We argue that the resolution of causality and the unitarity bound in the Regge limit require the introduction of infinitely many higher-spin fields similar to the Regge trajectories in string theory, therefore providing an argument in favour of the string lamppost principle with minimal supersymmetry in four dimensions. To obtain this result, we construct the general stress-energy tensor multiplet for the massive spin-2 multiplet with N=1 supersymmetry.
format Preprint
id arxiv_https___arxiv_org_abs_2502_09599
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A unique coupling of the massive spin-2 field to supergravity
Bossard, Guillaume
Casagrande, Gabriele
Dudas, Emilian
Loty, Adrien
High Energy Physics - Theory
We show that the coupling of a massive spin-2 field to undeformed N=1 supergravity in four dimensions is unique, leading to a specific non-minimal coupling to the Riemann tensor. The massive spin-2 coupling reproduces the one of an oscillator mode in open string theory, while the massive spin-1 coupling includes a higher-derivative term that is expected to violate causality in the background of a gravitational shock wave. We argue that the resolution of causality and the unitarity bound in the Regge limit require the introduction of infinitely many higher-spin fields similar to the Regge trajectories in string theory, therefore providing an argument in favour of the string lamppost principle with minimal supersymmetry in four dimensions. To obtain this result, we construct the general stress-energy tensor multiplet for the massive spin-2 multiplet with N=1 supersymmetry.
title A unique coupling of the massive spin-2 field to supergravity
topic High Energy Physics - Theory
url https://arxiv.org/abs/2502.09599