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We present the dictionary between the one-particle Hilbert spaces of totally symmetric tensor-spinor fields of spin $s={3}/{2}, {5}/{2}$ with any mass parameter on $D$-dimensional ($D \geq 3$) de Sitter space ($dS_{D}$) and Unitary…

High Energy Physics - Theory · Physics 2025-12-16 Vasileios A. Letsios

In 2507.17558, we provide a map from a scalar theory on $(D+2)$-dimensional Minkowski spacetime to a scalar theory with a continuous mass spectrum on $(D+1)$-dimensional de Sitter spacetime, and propose a link between celestial amplitudes…

High Energy Physics - Theory · Physics 2026-01-26 Hideo Furugori , Naoki Ogawa , Sotaro Sugishita , Takahiro Waki

We extend the cosmological bootstrap to correlators involving massless particles with spin. In de Sitter space, these correlators are constrained both by symmetries and by locality. In particular, the de Sitter isometries become conformal…

High Energy Physics - Theory · Physics 2021-09-29 Daniel Baumann , Carlos Duaso Pueyo , Austin Joyce , Hayden Lee , Guilherme L. Pimentel

We revisit the problem of building consistent interactions for a multiplet of partially massless spin-2 fields in (anti-)de Sitter space. After rederiving and strengthening the existing no-go result on the impossibility of Yang-Mills type…

High Energy Physics - Theory · Physics 2020-02-26 Nicolas Boulanger , Cédric Deffayet , Sebastian Garcia-Saenz , Lucas Traina

We perform a complete classification of the consistent two-derivative cubic couplings for a system containing an arbitrary number of massless spin-1, massless spin-2, and partially massless (PM) spin-2 fields in $D$-dimensional (anti-)de…

High Energy Physics - Theory · Physics 2024-11-08 Nicolas Boulanger , Sebastian Garcia-Saenz , Songsong Pan , Lucas Traina

We revisit the problem of constructing consistent interactions between a massive spin-3/2 field and a partially massless graviton in four-dimensional (A)dS spacetime. We use the Stueckelberg formulation of the action principle for these…

High Energy Physics - Theory · Physics 2023-10-10 Nicolas Boulanger , Guillaume Lhost , Sylvain Thomée

In this paper, the ``massless" spin-$\frac{3}{2}$ fields in the de Sitter space are considered. This work is in the continuation of a previous paper devoted to the quantization of the de Sitter ``massive" spin-$\frac{3}{2}$ fields. Due to…

General Relativity and Quantum Cosmology · Physics 2015-06-18 A. Azizi , M. Amiri

Cubic interactions of massive and partially-massless totally-symmetric higher-spin fields in any constant-curvature background of dimension greater than three are investigated. Making use of the ambient-space formalism, the consistency…

High Energy Physics - Theory · Physics 2015-06-04 Euihun Joung , Luca Lopez , Massimo Taronna

The representation theory of de Sitter space admits partially massless (PM) particles, but whether such particles can participate in consistent interacting theories remains unclear. We investigate the consistency of theories containing PM…

High Energy Physics - Theory · Physics 2025-10-09 Daniel Baumann , Kurt Hinterbichler , Callum R. T. Jones , Austin Joyce , Hayden Lee , Jiajie Mei , Nathan Meurrens

The scalar-spinor interaction Lagrangian is presented by the Yukawa potential. In dS ambient space formalism, the interaction Lagrangian of scalar-spinor fields was obtained from a new transformation which is very similar to the guage…

General Relativity and Quantum Cosmology · Physics 2021-04-14 Y. Ahmadi

We study the massless minimally coupled scalar field on a two--dimensional de Sitter space-time in the setting of axiomatic quantum field theory. We construct the invariant Wightman distribution obtained as the renormalized zero--mass limit…

Mathematical Physics · Physics 2015-06-26 Marco Bertola , Francesco Corbetta , Ugo Moschella

In our previous article [Letsios 2023 J. High Energ. Phys. JHEP05(2023)015], we showed that the strictly massless spin-3/2 field, as well as the strictly and partially massless spin-5/2 fields, on $N$-dimensional ($N \geq 3 $) de Sitter…

High Energy Physics - Theory · Physics 2024-11-21 Vasileios A. Letsios

Massive higher spin fields on de Sitter space exhibit enhanced gauge symmetries at special values of the mass. These fields are known as "partially massless." We study the structure of the charges and Gauss laws which characterize sources…

High Energy Physics - Theory · Physics 2017-06-06 Kurt Hinterbichler , Rachel A. Rosen

Assuming locality, Lorentz invariance and parity conservation we obtain a set of differential equations governing the 3-point interactions of massless bosons, which in turn determines the polynomial ring of these amplitudes. We derive all…

High Energy Physics - Theory · Physics 2019-01-23 Zhengdi Sun , Hui Xu , Yeuk-Kwan E. Cheung

In four dimensions, partially massless fields of all spins and depths possess a duality invariance akin to electric-magnetic duality. We construct metric-like gauge invariant curvature tensors for partially massless fields of all integer…

High Energy Physics - Theory · Physics 2016-09-26 Kurt Hinterbichler , Austin Joyce

This thesis investigates the interactions of partially massless (PM) fields in 4-dimensional (anti)de Sitter spaces, along with conformal higher spin fields and their coupling to matter in arbitrary dimensions. The first part of the thesis…

High Energy Physics - Theory · Physics 2026-02-03 Shailesh Dhasmana

We investigate, in any spacetime dimension >=3, the problem of consistent couplings for a finite collection of massless, spin-2 fields described, in the free limit, by a sum of Pauli-Fierz actions. We show that there is no consistent…

High Energy Physics - Theory · Physics 2009-10-31 Nicolas Boulanger , Thibault Damour , Leonardo Gualtieri , Marc Henneaux

''Massless'' spin-2 field equation in de Sitter space, which is invariant under the conformal transformation, has been obtained. The frame work utilized is the symmetric rank-2 tensor field of the conformal group. Our method is based on the…

General Relativity and Quantum Cosmology · Physics 2014-06-18 M. Dehghani , S. Rouhani , M. V. Takook , M. R. Tanhayi

We present a covariant quantization of the free "massive" spin-3/2 fields in four-dimensional de Sitter space-time based on analyticity in the complexified pseudo-Riemannian manifold. The field equation is obtained as an eigenvalue equation…

General Relativity and Quantum Cosmology · Physics 2015-06-05 M. V. Takook , A. Azizi , E. Babaian

In this article, we quantize the Maxwell ("massless spin one") de Sitter field in a conformally invariant gauge. This quantization is invariant under the SO$_0(2,4)$ group and consequently under the de Sitter group. We obtain a new de…

General Relativity and Quantum Cosmology · Physics 2010-01-11 S. Faci , E. Huguet , J. Queva , J. Renaud
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