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We formulate and prove the Lorentzian version of the positive mass theorems with arbitrary negative cosmological constant for asymptotically AdS spacetimes. This work is the continuation of the second author's recent work on the positive…

Differential Geometry · Mathematics 2008-11-26 Naqing Xie , Xiao Zhang

We consider the critical gravity theory with a scalar field in four dimensions. We find that this theory has the solution corresponding to the de Sitter (dS), anti-de Sitter (AdS), and Minkowski background depending on whether the action…

High Energy Physics - Theory · Physics 2015-06-04 Kyosuke Hirochi , Shin'ichi Nojiri

We derive a map between Einstein spaces of positive and negative curvature, including scalar matter. Starting from a space of positive curvature with some dimensions compactified on a sphere and analytically continuing the number of compact…

High Energy Physics - Theory · Physics 2015-03-18 Adriana Di Dato , Markus B. Fröb

We derive the mass formulae for ${\cal N}=1$, $D=4$ matter-coupled Supergravity for broken (and unbroken) Supersymmetry in curved space-time. These formulae are applicable to de Sitter configurations as is the case for inflation. For…

High Energy Physics - Theory · Physics 2016-12-21 Sergio Ferrara , Antoine Van Proeyen

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

We analyze a bulk effective field theory in AdS containing a U(1)-charged massive spin-2 field coupled to a gauge field, by performing the required holographic renormalization, and computing the one and two-point functions. We then compute…

High Energy Physics - Theory · Physics 2026-02-04 Vijay Nenmeli , Arvind Shekar , Mritunjay Verma

We study the effect of a non-vanishing chemical potential on the thermalization time of a strongly coupled large $N_c$ gauge theory in $(2+1)$-dimensions, using a specific bottom-up gravity model in asymptotically AdS space. We first…

High Energy Physics - Theory · Physics 2018-09-25 Elena Caceres , Arnab Kundu , Juan F. Pedraza , Di-Lun Yang

We study AdS-waves in the three-dimensional new theory of massive gravity recently proposed by Bergshoeff, Hohm, and Townsend. The general configuration of this type is derived and shown to exhibit different branches, with different…

High Energy Physics - Theory · Physics 2010-12-17 Eloy Ayón-Beato , Gaston Giribet , Mokhtar Hassaïne

We study the thermodynamics of $n$-dimensional static asymptotically AdS black holes in Einstein gravity coupled to a scalar field with a potential admitting a stationary point with an AdS vacuum. Such black holes with non-trivial scalar…

High Energy Physics - Theory · Physics 2015-07-09 H. Lu , C. N. Pope , Qiang Wen

We examine anti-de Sitter gravity minimally coupled to a self-interacting scalar field in $D\geq 4$ dimensions when the mass of the scalar field is in the range $m_{\ast}^{2}\leq m^{2}<m_{\ast} ^{2}+l^{-2}$. Here, $l$ is the AdS radius, and…

High Energy Physics - Theory · Physics 2008-11-26 Marc Henneaux , Cristian Martinez , Ricardo Troncoso , Jorge Zanelli

We analyze the gravitational dynamics of a classical scalar field coupled to gravity in asymptotically AdS spacetime, which leads to black hole formation on the shortest nonlinear time scale for some initial conditions. We show that the…

High Energy Physics - Theory · Physics 2016-06-01 Ben Freivogel , I-Sheng Yang

This study investigates the nonlinear charged Anti-de Sitter (AdS) black hole solution within the framework of massive gravity, motivated by recent advancements linking the Weak Gravity Conjecture (WGC) to phenomena such as Weak Cosmic…

General Relativity and Quantum Cosmology · Physics 2025-08-06 Mohammad Reza Alipour , Mohammad Ali S Afshar , Saeed Noori Gashti , Behnam Pourhassan , Jafar Sadeghi

The holographic connection between large $N$ Super Yang Mills theory and gravity in anti deSitter space requires unfamiliar behavior of the SYM theory in the limit that the curvature of the AdS geometry becomes small. The paradoxical…

High Energy Physics - Theory · Physics 2009-10-07 Joseph Polchinski , Leonard Susskind , Nicolaos Toumbas

In three dimensions, it is known that field theories possessing extended $(p,q)$ anti-de Sitter (AdS) supersymmetry with ${\cal N}=p+q \geq 3$ can be realised in (2,0) AdS superspace. Here we present a formalism to reduce every field theory…

High Energy Physics - Theory · Physics 2019-08-21 Jessica Hutomo , Sergei M. Kuzenko

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 consider a five-dimensional theory with a scalar field non-minimally-coupled to gravity, and we look for novel black-string solutions in the bulk. By appropriately choosing the non-minimal coupling function of the scalar field, we…

High Energy Physics - Theory · Physics 2019-08-26 Theodoros Nakas , Nikolaos Pappas , Panagiota Kanti

The Witten-Yau theorem in the AdS/CFT correspondence conjectures that the conformal boundary to AdS space must possess a metric of non-negative scalar curvature for the conformal field theory defined thereon to be free of pathologies. By…

Mathematical Physics · Physics 2012-11-21 James A. Reid , Charles H. -T. Wang

We study aspects of anti-de Sitter space in the context of the Swampland. In particular, we conjecture that the near-flat limit of pure AdS belongs to the Swampland, as it is necessarily accompanied by an infinite tower of light states. The…

High Energy Physics - Theory · Physics 2019-08-21 Dieter Lust , Eran Palti , Cumrun Vafa

We discuss black hole solutions in (2+1)-dimensions with a scalar field non-minimally coupled to Einstein's gravity in the presence of a cosmological constant and a self-interacting scalar potential. Without specifying the form of the…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Zi-Yu Tang , Yen Chin Ong , Bin Wang , Eleftherios Papantonopoulos

We compute the four-derivative corrections to the geometry, extremality bound, and thermodynamic quantities of AdS-Reissner-Nordstr{\"o}m black holes for general dimensions and horizon geometries. We confirm the universal relationship…

High Energy Physics - Theory · Physics 2020-05-27 Sera Cremonini , Callum R. T. Jones , James T. Liu , Brian McPeak
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