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Related papers: Taming Mass Gap with Anti-de-Sitter Space

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We show that a massive scalar field on a 2-dimensional Anti-De Sitter space can be mapped by means of a time-dependent canonical transformation into a massless free field theory when the mass square of the field is equal to minus the…

High Energy Physics - Theory · Physics 2010-04-06 J. Cruz

In this paper we discuss the dynamics of conformal field theories on anti-de Sitter space, focussing on the special case of the N=4 supersymmetric Yang-Mills theory on AdS_4. We argue that the choice of boundary conditions, in particular…

High Energy Physics - Theory · Physics 2011-02-16 Ofer Aharony , Donald Marolf , Mukund Rangamani

An abelian gauge symmetry can be spontaneously broken near a black hole horizon in anti-de Sitter space using a condensate of non-abelian gauge fields. There is a second order phase transition between Reissner-Nordstrom-anti-de Sitter…

High Energy Physics - Theory · Physics 2008-12-18 Steven S. Gubser

We investigate solutions that are dynamically evolving between asymptotically de Sitter and asymptotically anti-de Sitter regions in the context of Einstein gravity coupled to general matter fields in d dimensions. We demonstrate the…

High Energy Physics - Theory · Physics 2009-11-07 Hassan Firouzjahi , Frederic Leblond

It is shown how metastable de Sitter vacua might arise from heterotic M-theory. The balancing of its two non-perturbative effects, open membrane instantons against gaugino condensation on the hidden boundary, which act with opposing forces…

High Energy Physics - Theory · Physics 2011-07-19 Melanie Becker , Gottfried Curio , Axel Krause

We study the phase and amplitude dynamics of small perturbations in 3+1 dimensional Anti-de Sitter spacetime using the truncated resonant approximation, also known as the Two Time Framework (TTF). We analyse the phase spectrum for different…

High Energy Physics - Theory · Physics 2018-06-04 Fotios V. Dimitrakopoulos , Ben Freivogel , Juan F. Pedraza

The asymptotic symmetry analysis of Maxwell theory at spatial infinity of Minkowski space with $d\geq 3$ is performed. We revisit the action principle in de Sitter slicing and make it well-defined by an asymptotic gauge fixing. In…

High Energy Physics - Theory · Physics 2020-01-08 Erfan Esmaeili

Soft gravitons produced by the expansion of de Sitter can be viewed as the Nambu-Goldstone bosons of spontaneously broken asymptotic symmetries of the de Sitter spacetime. We explicitly construct the associated charges, and show that acting…

High Energy Physics - Theory · Physics 2017-04-26 Ricardo Z. Ferreira , McCullen Sandora , Martin S. Sloth

We rederive the characters of all unitary irreducible representations of the $(d+1)$-dimensional de Sitter spacetime isometry algebra $\mathfrak{so}(1,d+1)$, and propose a dictionary between those representations and massive or (partially)…

High Energy Physics - Theory · Physics 2019-11-05 Thomas Basile , Xavier Bekaert , Nicolas Boulanger

We introduce a regularized free energy $\mathcal{F}_{\text{AdS}}$ for massive quantum field theories (QFTs) on Anti-de Sitter space (AdS). We conjecture this quantity to be monotonic under the renormalization group (RG) flow induced by…

High Energy Physics - Theory · Physics 2025-12-23 Davide Bason , Christian Copetti , Lorenzo Di Pietro , Ziming Ji , Shota Komatsu

Anti-de Sitter spacetime and the static patch of de Sitter spacetime are arenas for investigating thermal and finite-size effects seen by an accelerated quantum observer. We consider an Unruh-DeWitt detector in uniform circular motion…

General Relativity and Quantum Cosmology · Physics 2024-06-26 Cameron R. D. Bunney , Jorma Louko

In this article, we investigate the mathematical relationship between a (3+1) dimensional gravity model inside Anti-de Sitter space $\rm AdS_4$, and a (2+1) dimensional superconducting system on the asymptotically flat boundary of $\rm…

High Energy Physics - Theory · Physics 2016-11-03 W. M. Wu , M. P. Pierpoint , D. M. Forrester , F. V. Kusmartsev

We prove small data energy estimates of all orders of differentiability between past null infinity and future null infinity of de Sitter space for the conformally invariant Maxwell-scalar field system. This allows us to construct bounded…

Analysis of PDEs · Mathematics 2025-07-17 Grigalius Taujanskas

We generalize key aspects of arXiv:1010.5367 (and also arXiv:1010.5327) to the case of {\em massless} $\lambda \phi^{2n}$ quantum field theory on deSitter spacetime. As in that paper, our key objective is to derive a suitable…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Stefan Hollands

A deSitter brane-world bounding regions of anti-deSitter space has a macroscopic entropy given by one-quarter the area of the observer horizon. A proposed variant of the AdS/CFT correspondence gives a dual description of this cosmology as…

High Energy Physics - Theory · Physics 2009-10-31 Stephen Hawking , Juan Maldacena , Andrew Strominger

The correspondence between supergravity (and string theory) on $AdS$ space and boundary conformal field theory relates the thermodynamics of ${\cal N}=4$ super Yang-Mills theory in four dimensions to the thermodynamics of Schwarzschild…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

We consider the massless Sine-Gordon model in de Sitter spacetime, in the regime $\beta^2 < 4 \pi$ and using the framework of perturbative algebraic quantum field theory. We show that a Fock space representation exists for the free massless…

Mathematical Physics · Physics 2024-12-03 Daniela Cadamuro , Markus B. Fröb , Carolina Moreira Ferrera

We study QED$_2$ in de Sitter space as a minimal interacting gauge theory in which cosmological expansion directly competes with quantum dynamics. In cosmic time, the hopping redshifts as $1/a(t)$ while the electric term grows as $g^2…

High Energy Physics - Theory · Physics 2026-04-06 Kazuki Ikeda , Yaron Oz

We provide a general method for studying a manifestly covariant formulation of $p$-form gauge theories on the de Sitter space. This is done by stereographically projecting the corresponding theories, defined on flat Minkowski space, onto…

High Energy Physics - Theory · Physics 2008-11-26 Rabin Banerjee

We study the effects of asymptotically anti-de Sitter wormholes in low-energy field theory and give a general prescription for obtaining the local effective interaction terms induced by them. The choice of vacuum for the matter fields…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Carlos Barcelo , Luis J. Garay