English
Related papers

Related papers: Classical Klein-Gordon solutions, symplectic struc…

200 papers

We study small fluctuations of the stringy wormhole solutions of graviton-dilaton-axion system in arbitrary dimensions. We show under O($d$)-symmetric harmonic perturbation that the Euclidean wormhole solutions are unstable in flat space…

High Energy Physics - Theory · Physics 2007-05-23 Jin Young Kim , Yoonbai Kim , James E. Hetrick

We obtain new solutions of topologically massive gravity. We find the general Kundt solutions, which in three dimensions are spacetimes admitting an expansion-free null geodesic congruence. The solutions are generically of algebraic type…

High Energy Physics - Theory · Physics 2010-04-23 David D. K. Chow , C. N. Pope , Ergin Sezgin

We study soliton solutions to the Klein-Gordon equation via Lie symmetries and the travelling-wave ansatz. It is shown, by taking a linear combination of the spatial and temporal Lie point symmetries, that soliton solutions naturally exist,…

Pattern Formation and Solitons · Physics 2023-05-22 Muhammad Al-Zafar Khan

The AdS/CFT correspondence relates Wilson loops in N=4 SYM theory to minimal area surfaces in AdS5xS5 space. If the Wilson loop is Euclidean and confined to a plane (t,x) then the dual surface is Euclidean and lives in Minkowski AdS3. In…

High Energy Physics - Theory · Physics 2016-01-27 Andrew Irrgang , Martin Kruczenski

Quantum Field Theories (QFTs) in Anti-de Sitter (AdS) spacetime are often strongly coupled when the radius of AdS is large, and few methods are available to study them. In this work, we develop a Hamiltonian truncation method to compute the…

High Energy Physics - Theory · Physics 2021-09-01 Matthijs Hogervorst , Marco Meineri , Joao Penedones , Kamran Salehi Vaziri

We consider the question of whether solutions of Klein--Gordon equations on asymptotically Anti-de Sitter spacetimes can be uniquely continued from the conformal boundary. Positive answers were first given by the second author with G.…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Alex McGill , Arick Shao

We study global aspects of complete, non-singular asymptotically locally AdS spacetimes solving the vacuum Einstein equations whose conformal infinity is an arbitrary globally stationary spacetime. It is proved that any such solution which…

High Energy Physics - Theory · Physics 2009-11-11 Michael T. Anderson

We construct a new class of Einstein-Maxwell static solutions with a magnetic field in $D$-dimensions (with $D\geq 5$ an odd number), approaching at infinity a globally Anti-de Sitter (AdS) spacetime. In addition to the mass, the new…

General Relativity and Quantum Cosmology · Physics 2016-12-14 Jose Luis Blázquez-Salcedo , Jutta Kunz , Francisco Navarro-Lérida , Eugen Radu

We construct solutions in the form of $AdS_2\times\Sigma$, where $\Sigma$ denotes a spindle geometry, within a particular 4d $\mathcal{N}=2$ gauged supergravity with vector multiplets and a charged hypermultiplet stemming from a consistent…

High Energy Physics - Theory · Physics 2024-08-08 Kiril Hristov , Minwoo Suh

The imposition of a constraint between the metric tensor elements in both three- and four-dimensional, rotating AdS space-times is shown to reduce the number of independent equations of motion and to result in new families of solutions to…

General Relativity and Quantum Cosmology · Physics 2019-06-19 Benjamin Harms

Rigorous use of SUSYQM approach applied for Klein-Gordon equation with scalar and vector potentials is discussed. The method is applied to solve exactly, for bound states, two models with position-dependent masses and…

Quantum Physics · Physics 2019-11-27 Nasreddine Zaghou , Farid Benamira , Larbi Guechi

We derive a geometrical characterisation of a large class of AdS_3 and AdS_2 supersymmetric spacetimes in IIB supergravity with non-vanishing five-form flux using G-structures. These are obtained as special cases of a class of…

High Energy Physics - Theory · Physics 2008-11-26 Jerome P. Gauntlett , Oisin A. P. Mac Conamhna

We investigate the existence of black hole and soliton solutions to four dimensional, anti-de Sitter (adS), Einstein-Yang-Mills theories with general semisimple connected and simply connected gauge groups, concentrating on the so-called…

General Relativity and Quantum Cosmology · Physics 2018-12-14 J. Erik Baxter

In a supergravity framework, the $\cal N$-extended anti-de Sitter (AdS) superspace in four spacetime dimensions, $\text{AdS}^{4|4\cal N} $, is a maximally symmetric background that is described by a curved superspace geometry with structure…

High Energy Physics - Theory · Physics 2025-03-12 Nowar E. Koning , Sergei M. Kuzenko , Emmanouil S. N. Raptakis

In this paper we show the small data solvability of suitable semilinear wave and Klein-Gordon equations on geometric classes of spaces, which include so-called asymptotically de Sitter and Kerr-de Sitter spaces, as well as asymptotically…

Analysis of PDEs · Mathematics 2020-05-28 Peter Hintz , Andras Vasy

We elaborate the definition and properties of "massive" elementary systems in the $(1+3)$-dimensional Anti-de Sitter (AdS$_4$) spacetime, on both classical and quantum levels. We fully exploit the symmetry group {isomorphic to} Sp$(4,R)$,…

Mathematical Physics · Physics 2025-05-15 Mohammad Enayati , Jean-Pierre Gazeau , Mariano A. del Olmo , Hamed Pejhan

We investigate 3-dimensional globally hyperbolic AdS manifolds containing "particles", i.e., cone singularities along a graph $\Gamma$. We impose physically relevant conditions on the cone singularities, e.g. positivity of mass (angle less…

Differential Geometry · Mathematics 2015-05-20 Thierry Barbot , Francesco Bonsante , Jean-Marc Schlenker

In this note we consider minimal surfaces in three dimensional anti-de Sitter space that end at the AdS boundary on a polygon given by a sequence of null segments. The problem can be reduced to a certain generalized Sinh-Gordon equation and…

High Energy Physics - Theory · Physics 2009-10-20 Luis F. Alday , Juan Maldacena

We study the exact construction of D-branes in Lorentzian AdS(3). We start by defining a family of conformal field theories that gives a natural Euclidean version of the SL(2,R) CFT and does not correspond to H(3)+, the analytic…

High Energy Physics - Theory · Physics 2009-11-11 Dan Israel

Electrostatics on global Anti-de-Sitter (AdS) spacetime is sharply different from that on global Minkowski spacetime. It admits a multipolar expansion with everywhere regular, finite energy solutions, for every multipole moment except the…

General Relativity and Quantum Cosmology · Physics 2016-05-04 Carlos Herdeiro , Eugen Radu