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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

Anti-de-Sitter space acts as an infra-red cut off for asymptotically free theories, allowing interpolation between a weakly-coupled small-sized regime and a strongly-coupled flat-space regime. We scrutinize the interpolation for theories in…

High Energy Physics - Theory · Physics 2024-03-14 Christian Copetti , Lorenzo Di Pietro , Ziming Ji , Shota Komatsu

The two-point function of linearized gravitons on de Sitter space is infrared divergent in the standard transverse traceless synchronous gauge defined by $k=0$ cosmological coordinates (also called conformal or Poincare coordinates). We…

High Energy Physics - Theory · Physics 2016-03-22 Atsushi Higuchi , Donald Marolf , Ian A. Morrison

In this paper we assume the de Sitter Space version of Black Hole Complementarity which states that a single causal patch of de Sitter space is described as an isolated finite temperature cavity bounded by a horizon which allows no loss of…

High Energy Physics - Theory · Physics 2010-04-06 Naureen Goheer , Matthew Kleban , Leonard Susskind

As a spacetime with compact spatial sections, de Sitter spacetime does not have a de Sitter-invariant ground state for a minimally-coupled massless scalar field that gives definite expectation values for any observables not invariant under…

High Energy Physics - Theory · Physics 2015-06-04 Don N. Page , Xing Wu

Asymptotically anti-de Sitter spacetimes with Poincare invariance along the boundary can describe, via the AdS/CFT correspondence, either relevant deformations of a conformal field theory or non-conformal vacuum states. I consider examples…

High Energy Physics - Theory · Physics 2009-10-31 Steven S. Gubser

''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

Naively applying holographic duality to gapped gravity on Anti de Sitter (AdS) space seems to suggest that the stress tensor of the field theory dual cannot be conserved. On the other hand, by symmetry arguments, it seems that the dual…

High Energy Physics - Theory · Physics 2015-12-30 Sophia K. Domokos , Gregory Gabadadze

Large corrections to the inflationary tensor power spectrum have been speculated to emerge either as second-order scalar-induced classical effects, or as 1-loop quantum corrections. These two sources are not independent of each other.…

High Energy Physics - Phenomenology · Physics 2026-05-28 A. Hauser , M. Laine

Massive fields on (anti) de Sitter space realize extended shift symmetries at particular values of their masses. We find these symmetries for all bosonic p-forms and mixed symmetry fields, in arbitrary spacetime dimension. These shift…

High Energy Physics - Theory · Physics 2022-12-08 Kurt Hinterbichler

We discuss electrostatics in Anti-de-Sitter ($AdS$) spacetime, in global coordinates. We observe that the multipolar expansion has two crucial differences to that in Minkowski spacetime. First, there are everywhere regular solutions, with…

General Relativity and Quantum Cosmology · Physics 2015-09-30 Carlos Herdeiro , Eugen Radu

We consider quantum field theory in a five-dimensional anti-de Sitter background, possibly truncated by 4d branes. In the Euclidian version of this space, it is known that propagators exponentially decay when they go far enough towards the…

High Energy Physics - Theory · Physics 2019-11-07 Sylvain Fichet

Respecting the group theoretical approach, it is discussed that the linear conformal gravity can be written in terms of a mixed symmetry tensor field of rank-3 \cite{binegar}. Following this path, related field equation was obtained in de…

General Relativity and Quantum Cosmology · Physics 2015-02-06 M. Elmizadeh

We study non-interacting automorphic quantum scalar fields with positive mass in two-dimensional de Sitter space. We find that there are no Hadamard states which are de Sitter invariant except in the periodic case, extending the result of…

General Relativity and Quantum Cosmology · Physics 2023-01-12 Atsushi Higuchi , Lasse Schmieding , David Serrano Blanco

Anti--de Sitter spacetime is important in general relativity and modern field theory. We review its geometrical features and properties of light signals and free particles moving in it. Applying only elementary tools of tensor calculus we…

General Relativity and Quantum Cosmology · Physics 2016-11-04 Leszek M. Sokolowski

Recent investigations of vacuum polarization in extremely compact stars suggest that, in such regimes, the effective matter content of spacetime may acquire a vacuum-energy equation of state with negative energy density, mimicking a…

General Relativity and Quantum Cosmology · Physics 2025-12-12 Julio Arrechea , Stefano Liberati , Hooman Neshat , Vania Vellucci

We show that there is only one physically acceptable vacuum state for quantum fields in de Sitter space-time which is left invariant under the action of the de Sitter-Lorentz group $SO(1,d)$ and supply its physical interpretation in terms…

High Energy Physics - Theory · Physics 2011-06-30 Aharon Casher , Pawel O. Mazur , Andrzej J. Staruszkiewicz

We introduce a "radial" two-point invariant for quantum field theory in de Sitter (dS) analogous to the radial coordinate used in conformal field theory. We show that the two-point function of a free massive scalar in the Bunch-Davies…

High Energy Physics - Theory · Physics 2023-11-08 Manuel Loparco , Jiaxin Qiao , Zimo Sun

Recent developments have yielded significant progress towards systematically understanding loop corrections to de Sitter (dS) correlators. In close analogy with physics in Anti-de Sitter (AdS), large logarithms can result from loops that…

High Energy Physics - Theory · Physics 2026-04-27 Priyesh Chakraborty , Timothy Cohen , Daniel Green , Yiwen Huang

Interacting massive fields with m > d H/2 in d+1 dimensional de Sitter space are fundamentally unstable. Scalar fields in this mass range can decay to themselves. This process (which is kinematically forbidden in Minkowski space) can lead…

High Energy Physics - Theory · Physics 2013-05-30 Dileep P. Jatkar , Louis Leblond , Arvind Rajaraman