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We derive the transverse projection operators for fields with arbitrary integer and half-integer spin on three-dimensional anti-de Sitter space, AdS$_3$. The projectors are constructed in terms of the quadratic Casimir operators of the…

High Energy Physics - Theory · Physics 2021-10-27 Daniel Hutchings , Sergei M. Kuzenko , Michael Ponds

Motivated by a question of defining gauge-invariant observables in cosmology and by the close connection between perturbation theory in de Sitter (dS) and Anti-de Sitter (AdS), we study scalar electrodynamics in AdS in setups that are…

High Energy Physics - Theory · Physics 2026-01-09 Ankur , Lorenzo Di Pietro , Victor Gorbenko , Shota Komatsu , Veronica Sacchi

We report on numerical constructions of fully non-linear geons in asymptotically anti-de Sitter (AdS) spacetimes in four dimensions. Our approach is based on 3+1 formalism and spectral methods in a gauge combining maximal slicing and…

General Relativity and Quantum Cosmology · Physics 2017-06-21 Grégoire Martinon , Gyula Fodor , Philippe Grandclément , Peter Forgàcs

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

In this master thesis a configuration space method presented by C. Dullemond and E. van Beveren for computing all propagators of a scalar field (Wightman, Hadamard and Schwinger functions,retarded, advanced and Feynman propagator) is…

High Energy Physics - Theory · Physics 2007-08-29 Max Dohse

The technique of dimensional reduction was used in a recent paper (Zanchin et al, Phys. Rev. D66, 064022,(2002)) where a three-dimensional (3D) Einstein-Maxwell-Dilaton theory was built from the usual four-dimensional (4D)…

General Relativity and Quantum Cosmology · Physics 2016-03-31 V. T. Zanchin , A. S. Miranda

We argue that the Anti-de-Sitter (AdS) geometry in d+1 dimensions naturally emerges from an arbitrary conformal field theory in d dimensions using the free flow equation. We first show that an induced metric defined from the flowed field…

High Energy Physics - Theory · Physics 2018-04-17 Sinya Aoki , Shuichi Yokoyama

In 5D relativity, the usual 4D cosmological constant is determined by the extra dimension. If the extra dimension is spacelike, one can get a positive cosmological constant $\Lambda$ and a 4D de Sitter (dS) space. In this paper we present…

General Relativity and Quantum Cosmology · Physics 2017-06-07 Molin Liu , Yingying Shi , Zonghua Zhao , Yu Han

There has recently been a revival of interest in anti de-Sitter space (AdS) brought about by the conjectured duality beteeen physics in the bulk of AdS and a conformal field theory on the boundary. Since the whole subject of branes,…

High Energy Physics - Theory · Physics 2011-04-15 M. J. Duff

We study the amplitude for exchange of massless gauge bosons between pairs of massive scalar fields in Anti-de Sitter space. In the AdS/CFT correspondence this amplitude describes the contribution of conserved flavor symmetry currents to…

High Energy Physics - Theory · Physics 2008-11-26 Eric D'Hoker , Daniel Z. Freedman

Motivated by the lack of consensus on whether or not de Sitter (dS) lies in the Swampland, we use a recently developed braneworld construction and known Anti-de Sitter (AdS) vacua to compute an explicit effective dS cosmology in three…

High Energy Physics - Theory · Physics 2022-02-16 Filip Landgren

We consider spherically symmetric Einstein-massless-scalar field equations with negative cosmological constant in five dimensions and analyze evolution of small perturbations of anti-de Sitter spacetime using the recently proposed resonant…

General Relativity and Quantum Cosmology · Physics 2015-08-26 Piotr Bizoń , Maciej Maliborski , Andrzej Rostworowski

We consider a real massive free quantum scalar field with arbitrary curvature coupling on $n$-dimensional anti-de Sitter space-time. We use Hadamard renormalization to find the vacuum expectation values of the quadratic field fluctuations…

General Relativity and Quantum Cosmology · Physics 2015-03-18 Carl Kent , Elizabeth Winstanley

The mass spectra of light-flavor mesons are analyzed in a deformed AdS/QCD soft-wall model, driven by four distinct anomalous 5-dimensional mass corrections of the scalar field, coupled to Einstein--Hilbert gravity, from the QCD running…

High Energy Physics - Phenomenology · Physics 2024-12-24 Roldao da Rocha , Pedro H. O. Silva

We explore aspects of the physics of de Sitter (dS) space that are relevant to holography with a positive cosmological constant. First we display a nonlocal map that commutes with the de Sitter isometries, transforms the bulk-boundary…

High Energy Physics - Theory · Physics 2009-03-16 Vijay Balasubramanian , Jan de Boer , Djordje Minic

We present a detailed analysis for the classical stability of a four dimensional Anti-de Sitter spacetime (AdS$_4$) by decomposing the first-order perturbations of a spherical symmetric gravitational field into the so called tensor…

High Energy Physics - Theory · Physics 2007-05-23 Ali Nayeri , Tuan Tran

We construct the most general N=2 supersymmetric nonlinear sigma-model in four-dimensional anti-de Sitter (AdS) space in terms of N=1 chiral superfields. The target space is shown to be a non-compact hyperkahler manifold restricted to…

High Energy Physics - Theory · Physics 2011-11-29 Daniel Butter , Sergei M. Kuzenko

The Anti-de Sitter/Conformal Field Theory correspondence (AdS/CFT) is one of the most significant findings in theoretical physics and forms the basis of this thesis. Although highly powerful, the main limitation of AdS/CFT is that AdS does…

High Energy Physics - Theory · Physics 2025-12-30 Mattia Arundine

Using the parent Lagrangian method together with a dimensional reduction from $D$ to $(D-1)$ dimensions we construct dual theories for massive spin two fields in arbitrary dimensions in terms of a mixed symmetry tensor $T_{A[A_{1}A_{2}...…

High Energy Physics - Theory · Physics 2008-11-26 A. Khoudeir , R. Montemayor , Luis F. Urrutia

A soft-wall anti-de Sitter/QCD model with a modified five-dimensional metric at the infrared region is constructed to obtain a nontrivial dilaton solution, which incorporates the chiral symmetry breaking and linear confinement. By taking…

High Energy Physics - Phenomenology · Physics 2010-01-28 Yan-Qin Sui , Yue-Liang Wu , Zhi-Feng Xie , Yi-Bo Yang
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