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Rotating small AdS black holes exhibit the superradiant instability to low-frequency scalar perturbations, which is amenable to a complete analytic description in four dimensions. In this paper, we extend this description to all higher…

High Energy Physics - Theory · Physics 2016-03-23 Alikram N. Aliev

When two-dimensional Anti-de Sitter space (AdS_2) is endowed with a non-constant dilaton the origin of the central charge in the Virasoro algebra generating the asymptotic symmetries of AdS_2 can be traced back to the breaking of the…

High Energy Physics - Theory · Physics 2009-10-31 Mariano Cadoni , Salvatore Mignemi

Inspired by the studies of gravitational waves in anti-de Sitter universe, in general relativity, in this paper we investigate the possibility of similar solutions in IIB string theory on $AdS_3 x S^3 x R^4$. We give a general form for such…

High Energy Physics - Theory · Physics 2010-04-05 Alok Kumar

We propose a fundamental setup for the realization of spontaneous symmetry breaking (SSB) and spontaneous antisymmetry breaking (SASB) in the framework of the nonlinear Schroedinger equation with the self-attractive and repulsive cubic…

Pattern Formation and Solitons · Physics 2025-07-15 Hidetsugu Sakaguchi , Boris A. Malomed , T. J. Taiwo

In these lecture notes we discuss recently conjectured instability of anti-de Sitter space, resulting in gravitational collapse of a large class of arbitrarily small initial perturbations. We uncover the technical details used in the…

General Relativity and Quantum Cosmology · Physics 2013-09-24 Maciej Maliborski , Andrzej Rostworowski

We construct growing mode solutions to the uncharged and charged Klein-Gordon equations on the sub-extremal Reissner-Nordstr\"om--anti-de-Sitter (AdS) spacetime under reflecting (Dirichlet or Neumann) boundary conditions. Our result applies…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Weihao Zheng

We present a numerical study of rotational dynamics in AdS$_5$ with equal angular momenta in the presence of a complex doublet scalar field. We determine that the endpoint of gravitational collapse is a Myers-Perry black hole for high…

High Energy Physics - Theory · Physics 2017-11-15 Matthew W. Choptuik , Oscar J. C. Dias , Jorge E. Santos , Benson Way

We consider the non uniform $AdS$ black string equations in arbitrary number of dimension in a perturbative approach up to order 2 and in a non perturbative. We restrict the study in the perturbative approach to the backreacting modes,…

High Energy Physics - Theory · Physics 2010-05-28 T. Delsate

In holography, the IR behavior of a quantum system at nonzero density is described by the near horizon geometry of an extremal charged black hole. It is commonly believed that for systems on $S^3$, this near horizon geometry is $AdS_2\times…

High Energy Physics - Theory · Physics 2023-03-22 Gary T. Horowitz , Maciej Kolanowski , Jorge E. Santos

We consider travelling waves propagating on the anti-de Sitter (AdS) background. It is pointed out that for any dimension d, this space of solutions has a Virasoro symmetry with a non-zero central charge. This result is a natural…

High Energy Physics - Theory · Physics 2009-10-07 M. Banados , A. Chamblin , G. W. Gibbons

We construct unstable classical solutions of Yang-Mills theories and their dual unstable states of type IIB on AdS_5. An example is the unstable D0-brane of type IIB located at the center of AdS. This has a field theory dual which is a…

High Energy Physics - Theory · Physics 2009-10-31 Nadav Drukker , David J. Gross , N. Itzhaki

Gravitational collapse of a massless scalar field in spherically symmetric anti-de Sitter (AdS) spacetimes presents a new phenomenology with a series of critical points whose dynamics is discretely self-similar as in the asymptotically flat…

General Relativity and Quantum Cosmology · Physics 2016-02-01 Daniel Santos-Oliván , Carlos F. Sopuerta

The partial breaking of supersymmetry in anti-de Sitter (AdS) space can be accomplished using two of four dual representations for the massive OSp(1,4) spin-3/2 multiplet. The representations can be ``unHiggsed,'' which gives rise to a set…

High Energy Physics - Theory · Physics 2009-10-31 Richard Altendorfer , Jonathan Bagger

We study nonlinear gravitational perturbations of vacuum Einstein equations, with $\Lambda<0$ in $(n+2)$ dimensions, with $n>2$, generalizing previous studies for $n=2$. We follow the formalism by Ishibashi, Kodama and Seto to decompose the…

General Relativity and Quantum Cosmology · Physics 2020-11-18 Dhanya S. Menon , Vardarajan Suneeta

In order to identify the exact criteria for the formation of two-ring structures in galaxies, we studied the issue of gravitational instability of the corresponding structural vibration modes against the background of a composite disk model…

Astrophysics of Galaxies · Physics 2021-09-29 K. T. Mirtadjieva , K. A. Mannapova

We describe new non-supersymmetric conformal field theories in three and four dimensions, using the CFT/AdS correspondence. In order to believe in their existence at large N_c and strong 't Hooft coupling, we explicitly check the stability…

High Energy Physics - Theory · Physics 2008-11-26 Jacques Distler , Frederic Zamora

On dielectric periodic structures with a reflection symmetry in a periodic direction, there can be antisymmetric standing waves (ASWs) that are symmetry-protected bound states in the continuum (BICs). The BICs have found many applications,…

Optics · Physics 2020-04-29 Lijun Yuan , Ya Yan Lu

We investigate the holographic dual of a probe scalar in an asymptotically Anti-de-Sitter (AdS) disordered background which is an exact solution of Einstein's equations in three bulk dimensions. Unlike other approaches to model disorder in…

High Energy Physics - Theory · Physics 2018-04-03 Tomás Andrade , Antonio M. García-García , Bruno Loureiro

We present a construction of a perturbatively stable non-supersymmetric type II closed string model in four dimensions. It is based on a freely acting Scherk-Schwarz Z2-deformation of a supersymmetric construction which is recovered in…

High Energy Physics - Theory · Physics 2025-06-03 Ignatios Antoniadis , Alonzo R. Diaz Avalos , Alon E. Faraggi

The AdS/CFT duality has established a mapping between quantities in the bulk AdS black-hole physics and observables in a boundary finite-temperature field theory. Such a relationship appears to be valid for an arbitrary number of spacetime…

High Energy Physics - Theory · Physics 2009-10-16 Jaqueline Morgan , Vitor Cardoso , Alex S. Miranda , C. Molina , Vilson T. Zanchin