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We review issues related to conservation laws for gravity with a negative cosmological constant subject to asymptotically (locally) anti-de Sitter boundary conditions. Beginning with the empty AdS spacetime, we introduce asymptotically…

General Relativity and Quantum Cosmology · Physics 2014-04-25 Sebastian Fischetti , William Kelly , Donald Marolf

We study the proposal that a de Sitter (dS) universe with an Anti-de Sitter (AdS) bubble can be replaced by a dS universe with a boundary CFT. To explore this duality, we consider incident gravitons coming from the dS universe through the…

High Energy Physics - Theory · Physics 2014-12-09 Sugumi Kanno , Misao Sasaki , Jiro Soda

We study oscillons in a real scalar field theory in a (3+1)-dimensional AdS space with global coordinates. The initial configuration is given by a Gaussian shape with an appropriate core size as in Minkowski spacetime. The solution exhibits…

High Energy Physics - Theory · Physics 2025-05-20 Takaaki Ishii , Takaki Matsumoto , Kanta Nakano , Ryosuke Suda , Kentaroh Yoshida

We attempt to generalize the AdS/CFT correspondence to non-relativistic conformal field theories which are invariant under Galilean transformations. Such systems govern ultracold atoms at unitarity, nucleon scattering in some channels, and…

High Energy Physics - Theory · Physics 2008-11-26 Koushik Balasubramanian , John McGreevy

The AdS/CFT correspondence is applied to a close analogue of the little hierarchy problem in $AdS_{d+1}$, $d \geq 3$. The new mechanism requires a Maxwell field that gauges a $U(1)_R$ symmetry in a bulk supergravity theory with a negative…

High Energy Physics - Theory · Physics 2015-10-08 Xi Dong , Daniel Z. Freedman , Yue Zhao

The AdS/CFT correspondence has led to important insights into the properties of quantum chromodynamics even though QCD is a broken conformal theory. A holographic model based on a truncated AdS space can be used to obtain the hadronic…

High Energy Physics - Phenomenology · Physics 2009-09-11 S. J. Brodsky , G. F. de Teramond

We consider the CFT that arises from the D1-D5 system in the presence of a constant background gauge potential which couples to the R-charge of the theory: this potential effectively changes the periodicities of the fermions. By the AdS/CFT…

High Energy Physics - Theory · Physics 2007-05-23 Samir D. Mathur

In this paper we show that one can have asymptotically de Sitter (dS), anti-de Sitter (AdS) and flat solutions in Gauss-Bonnet gravity without any need to a cosmological constant term in field equations. First, we introduce static solutions…

High Energy Physics - Theory · Physics 2009-11-10 M. H. Dehghani

We elaborate a detailed study of certain aspects of (a version of) the AdS/CFT correspondence, conjectured by Maldacena and Witten, between quantum field theories in a gravitational background given by an asymptotically anti-de Sitter…

Mathematical Physics · Physics 2008-06-26 Pedro Lauridsen Ribeiro

Carrollian Conformal Field Theories (CFTs) have been proposed as co-dimension one holographic duals to asymptotically flat spacetimes as opposed to Celestial CFTs which are co-dimension two. In this paper, drawing inspiration from Celestial…

High Energy Physics - Theory · Physics 2023-05-17 Arjun Bagchi , Prateksh Dhivakar , Sudipta Dutta

The AdS/CFT correspondence states that certain conformal field theories are equivalent to string theories in a higher-dimensional anti-de Sitter space. One aspect of the correspondence is an equivalence of density matrices or, if one…

High Energy Physics - Theory · Physics 2023-09-15 Eugenia Colafranceschi , Donald Marolf , Zhencheng Wang

Massive fields on anti-de Sitter (AdS) space enjoy galileon-like shift symmetries at particular values of their masses. We explore how these shift symmetries are realized through the boundary conformal field theory (CFT), at the level of…

High Energy Physics - Theory · Physics 2023-08-02 Erin Blauvelt , Laura Engelbrecht , Kurt Hinterbichler

Studying the critical scalar theory in four dimensional Euclidean space with the potential term $-g\phi^4$ we show that the theory can not be analytically continued through g=0 from g<0 region to g>0 region. For g>0 although energy is not…

High Energy Physics - Theory · Physics 2016-09-06 F. Loran , E. Bavarsad

The unconstrained reduced action corresponding to the dynamics of scalar fluctuations about the Friedmann-Robertson-Walker (FRW) background is derived using Dirac's method of description of singular Lagrangian systems. The results are…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Arsen Khvedelidze , George Lavrelashvili , Takahiro Tanaka

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 consider a model with two real Maxwell fields (or equivalently, a complex Maxwell field) minimally coupled to Einsteins gravity with a negative cosmological constant in four spacetime dimensions. Assuming a specific harmonic dependence…

General Relativity and Quantum Cosmology · Physics 2024-05-20 Carlos Herdeiro , Hyat Huang , Jutta Kunz , Eugen Radu

We study the AdS/CFT correspondence as a probe of inflation. We assume the existence of a string landscape containing at least one stable AdS vacuum and a (nearby) metastable de Sitter state. Standard arguments imply that the bulk physics…

High Energy Physics - Theory · Physics 2010-02-03 Ben Freivogel , Veronika E. Hubeny , Alexander Maloney , Robert C. Myers , Mukund Rangamani , Stephen Shenker

We consider the toroidally compactified planar AdS-Schwarzschild solution to 4-dimensional gravity with negative cosmological constant. This has a flat torus conformal boundary metric. We show that if the spatial part of the boundary metric…

High Energy Physics - Theory · Physics 2020-01-10 Krai Cheamsawat , Gary Gibbons , Toby Wiseman

We revisit the quantization of a free scalar in 4-dimensional (4d) Lorentzian Anti-de-Sitter spacetime (AdS$_4$). We derive solutions to the wave equation that diagonalize time translations in a foliation of AdS$_4$ with null cones. We show…

High Energy Physics - Theory · Physics 2025-12-16 Núria Navarro , Ana-Maria Raclariu

In recent times, a considerable effort has been dedicated to identify certain conditions -- the so-called swampland conjectures -- with an eye on identifying effective theories which have no consistent UV-completions in string theory. In…

High Energy Physics - Theory · Physics 2021-10-13 Heliudson Bernardo , Suddhasattwa Brahma , Keshav Dasgupta , Radu Tatar