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We consider quantum field theory in de Sitter space, focusing on the cases of scalars, spin 1/2 fields, and symmetric and anti-symmetric tensor fields of arbitrary spin. The free field equations in global coordinates can be reduced to a one…

High Energy Physics - Theory · Physics 2011-06-16 Philip Lagogiannis , Alexander Maloney , Yi Wang

We present a maximally symmetric vacuum spacetime, which is locally isometric anti- de Sitter, admitting closed timelike curves appear after a definite instant of time i.e., a time-machine spacetime. The spacetime is regular, free-from…

General Relativity and Quantum Cosmology · Physics 2016-05-13 Faizuddin Ahmed , Davood Momeni , Debojit Sarma , Bidyut Bikash Hazarika , Ratbay Myrzakulov

We analyze the asymptotic behavior of quantum fields and perturbative quantum gravity in de Sitter space. We show that the necessary and sufficient condition for the existence of a de Sitter invariant vacuum state in the free theory is if…

High Energy Physics - Theory · Physics 2025-03-27 Jonah Kudler-Flam , Kartik Prabhu , Gautam Satishchandran

In the context of a special class of tensor-multi-scalar theories of gravity for which the target-space metric admits an isometry under which the theory is invariant, we present rotating vacuum solutions, namely with no matter fields. These…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Lucas G. Collodel , Daniela D. Doneva , Stoytcho S. Yazadjiev

Using unitary irreducible representations of the de Sitter group, we construct the Fock space of a massive free scalar field. In this approach, the vacuum is the unique dS invariant state. The quantum field is a posteriori defined by an…

High Energy Physics - Theory · Physics 2016-09-06 E. Joung , J. Mourad , R. Parentani

We present evidence that there is a non-trivial fixed point for the AdS_{D+1} non-linear sigma model in two dimensions, without any matter fields or additional couplings beyond the standard quadratic action subject to a quadratic…

High Energy Physics - Theory · Physics 2008-11-26 Joshua J. Friess , Steven S. Gubser

In the AdS/CFT framework, vacuum and excited states are systematically described by imposing arbitrary Dirichlet boundary conditions at the AdS boundary. Furthermore, there are explicit relations connecting the quantum states to their…

High Energy Physics - Theory · Physics 2025-08-27 Marcelo Botta-Cantcheff , Facundo Lorenzo Cruz , Pedro J. Martinez

Recent no-go theorems have ruled out four-dimensional classical de Sitter vacua in heterotic string theory. On the other hand, the absence of a well-defined Wilsonian effective action and other related phenomena also appear to rule out such…

High Energy Physics - Theory · Physics 2024-10-08 Stephon Alexander , Keshav Dasgupta , Archana Maji , P. Ramadevi , Radu Tatar

The requirements are formulated which lead to the existence of the class of globally regular solutions to the minimally coupled GR equations which are asymptotically de Sitter at the center. The brief review of the resulting geometry is…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Irina Dymnikova

By implementing an error function on a Machine Learning algorithm we look for minimal conditions to construct stable Anti de Sitter and de Sitter vacua from dimensional type IIB String theory compactifcation on K\"ahler manifolds with…

High Energy Physics - Theory · Physics 2022-12-28 Cesar Damian , Oscar Loaiza-Brito

We construct a class of stationary, axisymmetric, horizonless spacetimes whose curvature is generated entirely by smooth, localised differential rotation $\Omega(r)$, while the spatial geometry remains exactly flat. Despite vanishing ADM…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Francisco S. N. Lobo , Tiberiu Harko

It is shown that a static $(1+3)$ anti-de Sitter metric defines, in a natural way, a relativistic harmonic oscillator in Minkowski space. The quantum theory can be solved exactly and leads to wave functions having a significantly different…

High Energy Physics - Theory · Physics 2008-02-03 D. J. Navarro , J. Navarro-Salas

We study the nonlinear evolution of a weakly perturbed anti-de Sitter (AdS) spacetime by solving numerically the four-dimensional spherically symmetric Einstein-massless-scalar field equations with negative cosmological constant. Our…

General Relativity and Quantum Cosmology · Physics 2011-09-05 Piotr Bizoń , Andrzej Rostworowski

The five dimensional stable de Sitter ground states in N=2 supergravity obtained by gauging SO(1,1) symmetry of the real symmetric scalar manifold (in particular a generic Jordan family manifold of the vector multiplets) simultaneously with…

High Energy Physics - Theory · Physics 2008-11-26 O. Ogetbil

We give an explicit formulation of the time dependent AdS/CFT correspondence when there are multiple vacua present in Lorentzian signature. By computing sample two point functions we show how different amplitudes are related by cosmological…

High Energy Physics - Theory · Physics 2009-11-05 Vijay Balasubramanian , Thomas S. Levi , Asad Naqvi

The two-dimensional anti-de Sitter space(AdS_2) is constructed in terms of the CGHS model. The geometric solutions are composed of the AdS vacuum and the AdS black hole which are locally equivalent but distinguishable by their mass. The…

High Energy Physics - Theory · Physics 2011-07-19 Won Tae Kim

We show that, in the framework of Einstein-scalar gravity, the gravitational coupling can drive the nucleation of the de Sitter (dS) spacetime from an anti de Sitter (AdS) one. This is done using a static and spherically-symmetric…

General Relativity and Quantum Cosmology · Physics 2025-02-19 Mariano Cadoni , Mirko Pitzalis , Andrea P. Sanna

The Hamiltonian governing the gravitational interaction of N relativistic particles in a four-dimensional anti-de Sitter background is derived to leading order in Newton's constant. The resulting pairwise interactions, combined with the…

High Energy Physics - Theory · Physics 2024-07-10 David A. Lowe , Larus Thorlacius

In this paper, the following two propositions are proven under the dominant energy condition for the matter field in the higher-dimensional spherically symmetric spacetime in Einstein-Gauss-Bonnet gravity in the presence of a cosmological…

High Energy Physics - Theory · Physics 2010-05-12 Hideki Maeda

Perturbative gravity in global de Sitter space is subject to so-called linearization stability constraints: If they are to couple consistently to the gravitational field, quantum states must be invariant under the de Sitter isometries.…

General Relativity and Quantum Cosmology · Physics 2009-01-16 Donald Marolf , Ian A. Morrison
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