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Related papers: Dressing and Screening in Anti-de Sitter

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In recent years, there has been considerable interest in theories formulated in anti-de Sitter (AdS) spacetime. However, AdS spacetime fails to be globally hyperbolic, so a classical field satisfying a hyperbolic wave equation on AdS…

High Energy Physics - Theory · Physics 2009-11-10 Akihiro Ishibashi , Robert M. Wald

This paper explores construction of gauge (diffeomorphism)-invariant observables in anti de Sitter (AdS) space and the related question of how to find a "holographic map" providing a quantum equivalence to a boundary theory. Observables are…

High Energy Physics - Theory · Physics 2018-12-05 Steven B. Giddings , Alex Kinsella

We study scalar condensations around asymptotically Anti-de Sitter(AdS) regular reflecting shells. We show that the charged scalar field can condense around charged reflecting shells with both Dirichlet and Neumann boundary conditions. In…

General Relativity and Quantum Cosmology · Physics 2018-08-29 Yan Peng , Bin Wang , Yunqi Liu

We consider scalar QED with $N_f$ flavors in AdS$_D$. For $D<4$ the theory is strongly-coupled in the IR. We use the spin 1 spectral representation to compute and efficiently resum the bubble diagram in AdS, in order to obtain the exact…

High Energy Physics - Theory · Physics 2023-06-12 Ankur , Dean Carmi , Lorenzo Di Pietro

Recent investigations have revealed powerful selection rules for resonant energy transfer between modes of non-linear perturbations in global anti-de Sitter (AdS) space-time. It is likely that these selection rules are due to the highly…

High Energy Physics - Theory · Physics 2015-06-24 Oleg Evnin , Chethan Krishnan

We study massive charged scalar field perturbations in four- and five- dimensional charged anti-de Sitter soliton spacetimes. Appropriate boundary conditions are established via a local analysis of the perturbation equations. The normal…

General Relativity and Quantum Cosmology · Physics 2025-08-07 Mengqi Lu , Ming Zhang , Robert B. Mann

Anti-de Sitter (AdS) is conjectured to be nonlinear unstable to a weakly turbulent mechanism that develops a cascade towards high frequencies, leading to black hole formation [1,2]. We give evidence that the gravitational sector of…

High Energy Physics - Theory · Physics 2016-11-15 Oscar J. C. Dias , Jorge E. Santos

We present results from a detailed study of spherically symmetric Einstein-massless-scalar field dynamics with a negative cosmological constant in four to nine spacetime dimensions. This study is the first to present a detailed examination…

General Relativity and Quantum Cosmology · Physics 2019-12-18 Nils Deppe

The Euclidean Anti-de Sitter (AdS) space provides a natural framework for studying boundary conformal field theory (BCFT). We analyze the conformal boundary conditions of the critical O$(N)$ model in $d=4-\epsilon$ dimensions using the…

High Energy Physics - Theory · Physics 2025-07-31 Simone Giombi , Zimo Sun

Conformal totally symmetric arbitrary spin currents and shadow fields in flat space-time of dimension greater than or equal to four are studied. Gauge invariant formulation for such currents and shadow fields is developed. Gauge symmetries…

High Energy Physics - Theory · Physics 2009-02-23 R. R. Metsaev

Motivated by holography, we explore higher derivative corrections to four-dimensional Anti-de Sitter (AdS) gravity. We point out that in such a theory the variational problem is generically not well-posed given only a boundary condition for…

High Energy Physics - Theory · Physics 2015-06-12 Jelena Smolic , Marika Taylor

We show that standard Einstein gravity coupled to a free conformal field theory (CFT) in Anti de Sitter space can undergo a Higgs phenomenon whereby the graviton acquires a nonzero mass (and three extra polarizations). We show that the…

High Energy Physics - Theory · Physics 2010-02-03 M. Porrati

If a state is passive for uniformly accelerated observers in n-dimensional anti-de Sitter space-time (i.e. cannot be used by them to operate a perpetuum mobile), they will (a) register a universal value of the Unruh temperature, (b)…

Mathematical Physics · Physics 2009-11-10 Detlev Buchholz , Stephen J. Summers

We consider the evolution of a bulk scalar field in anti-de Sitter (AdS) spacetime linearly coupled to a scalar field on a de Sitter boundary brane. We present results of a spectral analysis of the system, and find that the model can…

High Energy Physics - Theory · Physics 2008-11-26 Antonio Cardoso , Kazuya Koyama , Andrew Mennim , Sanjeev S. Seahra , David Wands

Yang-Mills theory in AdS$_{4}$ with Dirichlet boundary conditions is expected to undergo a transition as the AdS radius varies, since the boundary data is incompatible with confinement in flat space. Various mechanisms have been proposed…

High Energy Physics - Theory · Physics 2025-12-02 Lorenzo Di Pietro , Stefanos R. Kousvos , Marco Meineri , Alessandro Piazza , Marco Serone , Alessandro Vichi

We study, using the dual AdS description, the vacua of field theories where some of the gauge symmetry is broken by expectation values of scalar fields. In such vacua, operators built out of the scalar fields acquire expectation values, and…

High Energy Physics - Theory · Physics 2010-04-07 Igor R. Klebanov , Edward Witten

We obtain spherically-symmetric and $\R^2$-symmetric dyonic black holes that are asymptotic to anti-de Sitter space-time (AdS), which are solutions in maximal gauged four-dimensional supergravity, with just one of the U(1) fields carrying…

High Energy Physics - Theory · Physics 2013-11-07 H. Lu , Y. Pang , C. N. Pope

We investigate the non-perturbative stability of asymptotically anti-de Sitter gravity coupled to tachyonic scalar fields with mass near the Breitenlohner-Freedman bound. Such scalars are characterized by power-law radial decay near the AdS…

High Energy Physics - Theory · Physics 2013-05-01 Aaron J. Amsel , Matthew M. Roberts

We investigate the anti-de Sitter (AdS) counterpart to the well studied de Sitter (dS) model for energy-momentum space, viz "$\kappa$-momentum space" space (with a structure based on the properties of the $\kappa$-Poincar\'e Hopf algebra).…

General Relativity and Quantum Cosmology · Physics 2015-07-22 Michele Arzano , Giulia Gubitosi , Joao Magueijo , Giovanni Amelino-Camelia

Dynamics of small-amplitude perturbations in the global anti-de Sitter (AdS) spacetime is restricted by selection rules that forbid effective energy transfer between certain sets of normal modes. The selection rules arise algebraically…

High Energy Physics - Theory · Physics 2016-03-15 Oleg Evnin , Rongvoram Nivesvivat
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