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Motivated by the problem of stability of Anti-de Sitter (AdS) spacetime, we discuss nonlinear gravitational perturbations of maximally symmetric solutions of vacuum Einstein equations in general and the case of AdS in particular. We present…

General Relativity and Quantum Cosmology · Physics 2017-07-05 Andrzej Rostworowski

We examine codimension--1 topological defects whose associated worldline is geodesically embedded in $\AdS_{2}$. This discussion extends a previous study of exact analytical solutions to the equations of motion of topological defects in…

High Energy Physics - Theory · Physics 2019-04-18 Orlando Alvarez , Matthew Haddad

We construct supersymmetric Q-balls and boson stars in (d+1) dimensions. These non-topological solitons are solutions of a scalar field model with global U(1) symmetry and a scalar field potential that appears in gauge-mediated…

High Energy Physics - Theory · Physics 2013-05-30 Betti Hartmann , Juergen Riedel

A novel reduction procedure for covariant classical field theories, reflecting the generalized symplectic reduction theory of Hamiltonian systems, is presented. The departure point of this reduction procedure consists in the choice of a…

Mathematical Physics · Physics 2020-06-19 Florio M. Ciaglia , Fabio Di Cosmo , Alberto Ibort , Giuseppe Marmo , Luca Schiavone

The combination of Anti-de Sitter space (AdS) methods with light-front holography leads to a semi-classical first approximation to the spectrum and wavefunctions of meson and baryon light-quark bound states. Starting from the bound-state…

High Energy Physics - Phenomenology · Physics 2014-11-20 Stanley J. Brodsky , Guy de Teramond

We describe a procedure naturally associating relativistic Klein-Gordon equations in static curved spacetimes to non-relativistic quantum motion on curved spaces in the presence of a potential. Our procedure is particularly attractive in…

High Energy Physics - Theory · Physics 2018-01-31 Oleg Evnin , Hovhannes Demirchian , Armen Nersessian

We investigate a large class of supersymmetric magnetic brane solutions supported by U(1) gauge fields in AdS gauged supergravities. We obtain first-order equations in terms of a superpotential. In particular, we find systems which…

High Energy Physics - Theory · Physics 2010-12-03 S. Cucu , H. Lu , J. F. Vazquez-Poritz

AdS/QCD, the correspondence between theories in a modified five-dimensional anti-de Sitter space and confining field theories in physical space-time, provides a remarkable semiclassical model for hadron physics. Light-front holography…

High Energy Physics - Phenomenology · Physics 2014-11-20 Stanley J. Brodsky , Guy F. de Teramond

We obtain numerical solutions for rotating topological solitons of the nonlinear $\sigma$-model in three-dimensional Anti-de Sitter space. Two types of solutions, $i)$ and $ii)$, are found. The $\sigma$-model fields are everywhere well…

High Energy Physics - Theory · Physics 2017-01-04 B. Harms , A. Stern

In this paper, based on an intrinsic definition of asymptotically AdS space-times, we show that the standard anti-de Sitter space-time is the unique strictly stationary asymptotically AdS solution to the vacuum Einstein equations with…

Differential Geometry · Mathematics 2015-06-26 Jie Qing

We study N <= 2 superconformal and supersymmetric theories on Lorentzian threemanifolds with a view toward holographic applications, in particular to BPS black hole solutions. As in the Euclidean case, preserved supersymmetry for…

High Energy Physics - Theory · Physics 2015-06-15 Kiril Hristov , Alessandro Tomasiello , Alberto Zaffaroni

The generalized symmetric space sine-Gordon theories are a series of 1+1-integrable field theories that are classically equivalent to superstrings on symmetric space spacetimes F/G. They are formulated in terms of a semi-symmetric space as…

High Energy Physics - Theory · Physics 2011-06-07 Timothy J. Hollowood , J. Luis Miramontes

We initiate the study of the spherically symmetric Einstein-Klein-Gordon system in the presence of a negative cosmological constant, a model appearing frequently in the context of high-energy physics. Due to the lack of global hyperbolicity…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Gustav Holzegel , Jacques Smulevici

We study the dynamics of a spherically symmetric thin shell of perfect fluid embedded in d-dimensional Anti-de Sitter space-time. In global coordinates, besides collapsing solutions, oscillating solutions are found where the shell bounces…

General Relativity and Quantum Cosmology · Physics 2015-07-07 Javier Mas , Alexandre Serantes

We consider the asymptotic behavior of small global-in-time solutions to a 1D Klein-Gordon equation with a spatially localized, variable coefficient quadratic nonlinearity and a non-generic linear potential. The purpose of this work is to…

Analysis of PDEs · Mathematics 2022-02-16 Hans Lindblad , Jonas Luhrmann , Wilhelm Schlag , Avy Soffer

We construct a new class of dyonic dilaton black hole solutions in the background of Anti-de Sitter (AdS) spacetime. In order to find an analytical solution which satisfy all the field equations, we should consider the string case where the…

High Energy Physics - Theory · Physics 2019-01-23 S. Hajkhalili , A. Sheykhi

We consider 2-dimensional cylinder spacetimes whose metrics differ from the flat Minkowskian metric within a compact region. By choice of time orientation, these spacetimes may be regarded as either globally hyperbolic timelike cylinders or…

General Relativity and Quantum Cosmology · Physics 2008-11-26 C. J. Fewster

The combination of Anti-de Sitter space (AdS) methods with light-front holography leads to a semi-classical first approximation to the spectrum and wavefunctions of meson and baryon light-quark bound states. Starting from the bound-state…

High Energy Physics - Phenomenology · Physics 2009-10-06 Stanley J. Brodsky , Guy F. de Téramond

Two sets of modes of a massive free scalar field are quantized in a pair of Poincar\'e patches of Lorentzian anti-de Sitter (AdS) space, AdS$_{d+1}$ ($d \geq 2$). It is shown that in Poincar\'e coordinates $(r,t,\vec{x})$, the two…

High Energy Physics - Theory · Physics 2015-06-19 Ippei Fujisawa , Ryuichi Nakayama

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