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We approach the problem of constructing an explicit holographic dictionary for the AdS$_2$/CFT$_1$ correspondence in the context of higher derivative gravitational actions in AdS$_2$ space-times. These actions are obtained by an $S^2$…

高能物理 - 理论 · 物理学 2021-04-20 Pedro Aniceto , Gabriel Lopes Cardoso , Suresh Nampuri

We develop the method of Green's function to evaluate the one loop determinants that arise in localization of supersymmetric field theories on $AdS$ spaces. The theories we study have at least ${\cal N}=2$ supersymmetry and normalisable…

高能物理 - 理论 · 物理学 2020-03-18 Justin R. David , Edi Gava , Rajesh Kumar Gupta , Kumar Narain

We compute the two- and four-point holographic correlation functions up to the second order in the coupling constant for a scalar $\phi^4$ theory in four-dimensional Euclidean anti-de Sitter space. Analytic expressions for the anomalous…

高能物理 - 理论 · 物理学 2019-03-27 Igor Bertan , Ivo Sachs , Evgeny D. Skvortsov

We consider a gauge/gravity dual model of thermalization which consists of a collapsing thin matter shell in asymptotically Anti-de Sitter space. A central aspect of our model is to consider a shell moving at finite velocity as determined…

高能物理 - 理论 · 物理学 2015-06-05 Johanna Erdmenger , Shu Lin

We discuss possible choices for boundary conditions in the AdS/CFT correspondence, and calculate the renormalisation group flow induced by a double-trace perturbation. In running from the UV to the IR there is a unit shift in the central…

高能物理 - 理论 · 物理学 2016-09-06 David Nolland

We present an exactly solvable model of a scalar field in an AdS$_{d+1}$ like background interpolating between a $Z_2$ preserving and a $Z_2$ breaking minima of the potential. We define its holographic dual through the AdS/CFT dictionary…

高能物理 - 理论 · 物理学 2015-06-04 Borut Bajc , Adrian R. Lugo , Mauricio B. Sturla

Certain null singularities in ten dimensional supergravity have natural holographic duals in terms of Matrix Theory and generalizations of the AdS/CFT correspondence. In many situations the holographic duals appear to be well defined in…

高能物理 - 理论 · 物理学 2010-11-03 Sumit R. Das

We continue developing the freelance holography program, formulating gauge/gravity correspondence where the gravity side is formulated on a space bounded by a generic timelike codimension-one surface inside AdS and arbitrary boundary…

高能物理 - 理论 · 物理学 2025-11-05 A. Parvizi , M. M. Sheikh-Jabbari , V. Taghiloo

We explore the constraints imposed on higher curvature corrections of the Lovelock type due to causality restrictions in the boundary of asymptotically AdS space-time. In the framework of AdS/CFT, this is related to positivity of the energy…

高能物理 - 理论 · 物理学 2014-11-20 Xian O. Camanho , Jose D. Edelstein

We consider theories with time-dependent Hamiltonians which alternate between being bounded and unbounded from below. For appropriate frequencies dynamical stabilization can occur rendering the effective potential of the system stable. We…

高能物理 - 理论 · 物理学 2012-08-13 Roberto Auzzi , Shmuel Elitzur , Sven Bjarke Gudnason , Eliezer Rabinovici

Bilocal holography provides a constructive approach to the vector model/higher spin gravity duality. It has two ingredients: a change of field variables and a change of space time coordinates. The change of field variables ensures that the…

高能物理 - 理论 · 物理学 2024-06-12 Robert de Mello Koch , Garreth Kemp , Hendrik J. R. Van Zyl

We consider the effects of homogeneous Dirichlet's boundary conditions on two infinite parallel plane surfaces separated by a small distance {\it a}. We find that although spontaneous symmetry breaking does not occur for the theory of a…

高能物理 - 理论 · 物理学 2007-05-23 Jose Alexandre Nogueira , Pedro Leite Barbieri

A common feature of tree-level holography is that a correlator in one theory can serve as a generating function for correlators in another theory with less continuous symmetry. This is the case for a family of 4d CFTs with eight…

高能物理 - 理论 · 物理学 2023-05-03 Connor Behan

The critical phenomena of dilaton AdS black holes are probed from a totally different perspective other than the $P-v$ criticality and the $q-U$ criticality discussed in the former literature. We investigate not only the two point…

广义相对论与量子宇宙学 · 物理学 2017-09-13 Jie-Xiong Mo

In recent years, the holographic duality between $T\bar{T}$-deformed conformal field theory (CFT) and Anti-de Sitter (AdS) spacetime with finite radial cutoff has received significant attention. The study of $T\bar{T}$ deformation within…

高能物理 - 理论 · 物理学 2025-07-10 Jing-Cheng Chang , Song He , Yu-Xiao Liu , Long Zhao

We revisit the propagation of classical scalar fields in a spacetime which is asymptotically anti-de Sitter. The lack of global hyperbolicity of the underlying background gives rise to an ambiguity in the dynamical evolution of solutions of…

广义相对论与量子宇宙学 · 物理学 2022-04-07 Christyan C. de Oliveira , Ricardo A. Mosna , João Paulo M. Pitelli

The Anti-de Sitter/Conformal Field Theory correspondence (AdS/CFT) is one of the most significant findings in theoretical physics and forms the basis of this thesis. Although highly powerful, the main limitation of AdS/CFT is that AdS does…

高能物理 - 理论 · 物理学 2025-12-30 Mattia Arundine

We investigate the nature of the AdS/CFT duality between a subregion of the bulk and its boundary. In global AdS/CFT in the classical G_N=0 limit, the duality reduces to a boundary value problem that can be solved by restricting to…

高能物理 - 理论 · 物理学 2013-12-18 Raphael Bousso , Ben Freivogel , Stefan Leichenauer , Vladimir Rosenhaus , Claire Zukowski

We explore the extent to which a local string theory dynamics in anti-de Sitter space can be determined from its proposed Conformal Field Theory (CFT) description. Free fields in the bulk are constructed from the CFT operators, but…

高能物理 - 理论 · 物理学 2007-05-23 Tom Banks , Michael R. Douglas , Gary T. Horowitz , Emil Martinec

We claim that there is a one to one correspondence between $NAdS_2$ spacetimes and dilatonic $AdS_2$ black holes. We show that these have the same thermodynamics and can be described by the same states of 1D CFTs with the same central…

高能物理 - 理论 · 物理学 2019-11-22 Edi Halyo