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We investigate dilaton stabilization in a higher-dimensional theory. The background geometry is based on an eleven-dimensional Kaluza-Klein/supergravity model, which is assumed to be a product of four-dimensional de Sitter (dS_4) spacetime…

High Energy Physics - Theory · Physics 2009-11-10 Kunihito Uzawa

We study axially symmetric solutions of the Einstein-Maxwell-Klein-Gordon equations describing spinning gauged boson stars in a 3+1 dimensional asymptotically AdS spacetime. These smooth horizonless solutions possess an electric charge and…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Olga Kichakova , Jutta Kunz , Eugen Radu

Generic solutions are studied in Einstein-scalar gravity in an ansatz that can interpolate between de Sitter and Anti-de Sitter regimes. The scalar potential is arbitrary. All solutions are determined by their end-points in the scalar field…

High Energy Physics - Theory · Physics 2025-10-15 Elias Kiritsis , Sergio Morales-Tejera , Christopher Rosen

A class of exact solutions of Einstein's equations is presented which describes accelerating photon rockets in de Sitter and anti-de Sitter universe. These are particular members of the Robinson-Trautman family of axially symmetric…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jiri Podolsky

Anti-de Sitter (AdS) space can be foliated by a family of nested surfaces homeomorphic to the boundary of the space. We propose a holographic correspondence between theories living on each surface in the foliation and quantum gravity in the…

High Energy Physics - Theory · Physics 2009-10-31 Vijay Balasubramanian , Per Kraus

We put forward a unimodular $N=1, d=4$ anti-de Sitter supergravity theory off shell. This theory, where the Cosmological Constant does not couple to gravity, has a unique maximally supersymmetric classical vacuum which is Anti-de Sitter…

High Energy Physics - Theory · Physics 2020-03-18 Jesus Anero , Carmelo P. Martin , Raquel Santos-Garcia

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 present several classes of exact solutions in the Einstein-Klein-Gordon system with a cosmological constant. The spacetime has spherical, plane, or hyperbolic symmetry and the higher-dimensional solutions are obtained in a closed form…

General Relativity and Quantum Cosmology · Physics 2013-02-15 Hideki Maeda

We study the wave equation for a massive scalar field in three-dimensional AdS-black hole and dS (de Sitter) spaces to find what is the difference and similarity between two spaces. Here the AdS-black hole is provided by the J=0 BTZ black…

High Energy Physics - Theory · Physics 2009-11-10 Y. S. Myung , N. J. Kim

We discuss quotients of Anti-de Sitter (AdS) spacetime by a discrete group in light of the AdS-CFT correspondence. Some quotients describe closed universes which expand from zero volume to a maximum size and then contract. Maldacena's…

High Energy Physics - Theory · Physics 2010-02-03 Gary T. Horowitz , Donald Marolf

We obtain dS and AdS generalized Reissner-Nordstrom like black hole geometries in a curved D3-brane frame-work, underlying a noncommutative gauge theory on the brane-world. The noncommutative scaling limit is explored to investigate a…

High Energy Physics - Theory · Physics 2008-11-26 Supriya Kar

In the last two decades the Anti-de Sitter/Conformal Field Theory correspondence (AdS/CFT) has emerged as focal point of many research interests. In particular, it functions as a stepping stone to a still missing full quantum theory of…

High Energy Physics - Theory · Physics 2021-01-25 Stefano Antonini , Brian Swingle

These notes describe representations of the universal cover of $\mathrm{SL}(2,\mathbb{R})$ with a view toward applications in physics. Spinors on the hyperbolic plane and the two-dimensional anti-de Sitter space are also discussed.

High Energy Physics - Theory · Physics 2018-08-23 Alexei Kitaev

A quantum field theory on Anti-de-Sitter space can be constructed from a conformal field theory on its boundary Minkowski space by an inversion of the holographic mapping. To do this the conformal field theory must satisfy certain…

High Energy Physics - Theory · Physics 2009-11-10 W. Ruehl

We construct a class of extended shift symmetries for fields of all integer spins in de Sitter (dS) and anti-de Sitter (AdS) space. These generalize the shift symmetry, galileon symmetry, and special galileon symmetry of massless scalars in…

High Energy Physics - Theory · Physics 2026-04-27 James Bonifacio , Kurt Hinterbichler , Austin Joyce , Rachel A. Rosen

We present compact Q-balls in an (Anti-)de Sitter background in D dimensions, obtained with a V-shaped potential of the scalar field. Beyond critical values of the cosmological constant compact Q-shells arise. By including the gravitational…

General Relativity and Quantum Cosmology · Physics 2014-12-10 Betti Hartmann , Burkhard Kleihaus , Jutta Kunz , Isabell Schaffer

Building upon the comprehensive framework outlined in the author's recent collaborative book, this manuscript delivers a brief overview of the $1+4$-dimensional de Sitter (dS$_4$) group, its accompanying Lie algebra, and the corresponding…

Mathematical Physics · Physics 2025-03-06 Hamed Pejhan

We study a real, massive Klein-Gordon field in the Poincar\'e fundamental domain of the $(d+1)$-dimensional anti-de Sitter (AdS) spacetime, subject to a particular choice of dynamical boundary conditions of generalized Wentzell type,…

High Energy Physics - Theory · Physics 2018-05-09 Claudio Dappiaggi , Hugo R. C. Ferreira , Benito A. Juárez-Aubry

We study the space of Killing fields on the four dimensional AdS spacetime $AdS^{3,1}$. Two subsets $\mathcal{S}$ and $\mathcal{O}$ are identified: $\mathcal{S}$ (the spinor Killing fields) is constructed from imaginary Killing spinors, and…

Differential Geometry · Mathematics 2016-01-05 Po-Ning Chen , Pei-Ken Hung , Mu-Tao Wang , Shing-Tung Yau

A higher dimensional gravity invariant both under local Lorentz rotations and under local Anti de Sitter boosts is constructed. It is shown that such a construction is possible both when odd dimensions and when even dimensions are…

High Energy Physics - Theory · Physics 2008-11-26 Patricio Salgado , Fernando Izaurieta , Eduardo Rodriguez
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