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Related papers: Tensors and Spinors in de Sitter Space

200 papers

In this paper we present a covariant quantization of the ``massive'' spin-2 field on de Sitter (dS) space. By ``massive'' we mean a field which carries a specific principal series representation of the dS group. The work is in the direct…

High Energy Physics - Theory · Physics 2015-06-26 T. Garidi , J-P. Gazeau , M. Takook

Discrete symmetries, parity, time reversal, antipodal, and charge conjugation transformations for spinor field in de Sitter space, are presented in the ambient space notation, i.e. in a coordinate independent way. The PT and PCT…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Moradi , S. Rouhani , M. V. Takook

In this paper, we compute the effective action of both a scalar field and a Dirac spinor field in the global de Sitter space of any dimension $d$ using the in-/out-state formalism. We show that there is particle production in even…

High Energy Physics - Theory · Physics 2020-06-08 Jiaqi Jiang

We develop a conformally invariant (CI) framework in $(1+3)$-dimensional de Sitter (dS) spacetime, that unifies the descriptions of graviton, ``partially massless'' graviton, and photon fields. This framework is grounded in a rigorous…

General Relativity and Quantum Cosmology · Physics 2025-05-09 Jean-Pierre Gazeau , Hamed Pejhan

We consider dS_2/CFT_1 where the asymptotic symmetry group of the de Sitter spacetime contains the Virasoro algebra. We construct representations of the Virasoro algebra realized in the Fock space of a massive scalar field in de Sitter,…

High Energy Physics - Theory · Physics 2009-11-11 Alberto Guijosa , David A. Lowe , Jeff Murugan

We construct a class of extended shift symmetries for fields of all integer spins in de Sitter (dS) and anti-de Sitter (AdS) space. These generalize the shift symmetry, galileon symmetry, and special galileon symmetry of massless scalars in…

High Energy Physics - Theory · Physics 2026-04-27 James Bonifacio , Kurt Hinterbichler , Austin Joyce , Rachel A. Rosen

We discuss from scratch the classical structure of Dirac spinors on an arbitrary globally hyperbolic, Lorentzian spacetime, their formulation as a locally covariant quantum field theory, and the associated notion of a Hadamard state.…

Mathematical Physics · Physics 2009-12-10 Claudio Dappiaggi , Thomas-Paul Hack , Nicola Pinamonti

We study two-point functions of symmetric traceless local operators in the bulk of de Sitter spacetime. We derive the K\"all\'en-Lehmann spectral decomposition for any spin and show that unitarity implies its spectral densities are…

High Energy Physics - Theory · Physics 2025-07-10 Manuel Loparco , Joao Penedones , Kamran Salehi Vaziri , Zimo Sun

The Dirac monopole string is specified for de Sitter cosmological model. Dirac equation for spin 1/2 particle in presence of this monopole has been examined on the background of de Sitter space-time in static coordinates. Instead of spinor…

Quantum Physics · Physics 2011-09-15 V. M. Red'kov , E. M. Ovsiyuk , O. V. Veko

We consider the application of twistor theory to five-dimensional anti-de Sitter space. The twistor space of AdS$_5$ is the same as the ambitwistor space of the four-dimensional conformal boundary; the geometry of this correspondence is…

High Energy Physics - Theory · Physics 2016-09-21 Tim Adamo , David Skinner , Jack Williams

We consider the consequences of global higher-spin symmetries in quantum field theories on a fixed de Sitter background of spacetime dimension $D \ge 3$. These symmetries enhance the symmetry group associated with the isometries of the de…

High Energy Physics - Theory · Physics 2016-03-22 Renato Costa , Ian A. Morrison

Free massless fermionic fields of arbitrary spins $s>0$ corresponding to totally (anti)symmetric tensor-spinor representations of the $SO(d-1)$ compact subgroup and in $d$-dimensional anti-de Sitter space are investigated. We propose the…

High Energy Physics - Theory · Physics 2010-04-06 R. R. Metsaev

We investigate the spin-statistics connection in arbitrary dimensions for hermitian spinor or tensor quantum fields with a rotationally invariant bilinear Lagrangian density. We use essentially the same simple method as for space dimension…

High Energy Physics - Theory · Physics 2008-11-26 Luis J. Boya , E. C. G. Sudarshan

In this paper, the two-point function of linearized gravitons on de Sitter (dS) space is presented. Technically, respecting the dS ambient space notation, the field equation is given by the coordinate-independent Casimir operators of the de…

General Relativity and Quantum Cosmology · Physics 2018-08-16 Hamed Pejhan , Surena Rahbardehghan

In the de Sitter ambient space formalism the massless fields, which include the linear gravity and massless minimally coupled scalar field, can be written in terms of two separate parts: a massless conformally coupled scalar field and a…

General Relativity and Quantum Cosmology · Physics 2017-12-29 M. V. Takook

The asymptotic structure of three-dimensional higher-spin anti-de Sitter gravity is analyzed in the metric approach, in which the fields are described by completely symmetric tensors and the dynamics is determined by the standard…

High Energy Physics - Theory · Physics 2015-03-03 Andrea Campoleoni , Marc Henneaux

Wightman function, the vacuum expectation values of the field squared and the energy-momentum tensor are investigated for a scalar field with general curvature coupling parameter in the geometry of a plate in the de Sitter spacetime. Robin…

High Energy Physics - Theory · Physics 2009-10-08 A. A. Saharian , T. A. Vardanyan

The essentially unique torsionful version of the classical two-component spinor formalisms of Infeld and van der Waerden is presented. All the metric spinors and connecting objects that arise here are formally the same as the ones borne by…

Mathematical Physics · Physics 2015-01-26 J. G. Cardoso

The solution to the linearized Einstein equation in de Sitter (dS) spacetime and the corresponding two-point function are explicitly written down in a gauge with two parameters `$a$' and `$b$'. The quantization procedure, independent of the…

General Relativity and Quantum Cosmology · Physics 2016-12-21 Hamed Pejhan , Surena Rahbardehghan

We constructed all possible kinematically allowed three-point interactions of two massless Dirac spinors with massive higher-spin bosons. In any $D$ spacetime, the interactions have been constructed using the projections of the higher spin…

High Energy Physics - Theory · Physics 2025-05-09 Kushal Chakraborty , Aakash Kumar , Arnab Rudra , Amey Yeole