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The AdS/CFT correspondence realises the holographic principle where information in the bulk of a space is encoded at its border. We are yet a long way from a full mathematical construction of AdS/CFT, but toy models in the form of…

高能物理 - 理论 · 物理学 2022-04-21 Harriet Apel , Tamara Kohler , Toby Cubitt

We present a simple general relation between tree-level exchanges in AdS and dS. This relation allows to directly import techniques and results for AdS Witten diagrams, both in position and momentum space, to boundary correlation functions…

高能物理 - 理论 · 物理学 2021-11-03 Charlotte Sleight , Massimo Taronna

The motion of a scalar particle in (d+1)-dimensional AdS space may be described in terms of the Cartesian coordinates that span the (d+2)-dimensional space in which the AdS space is embedded. Upon quantization, the mass hyperboloid defined…

高能物理 - 理论 · 物理学 2009-11-07 George Siopsis

The holographic principle, being a generic feature of quantum gravity, should allow for the consideration of dualities other than AdS/CFT. The AdS/BCFT correspondence, in which the dual field theory has local conformal symmetry and is…

高能物理 - 理论 · 物理学 2020-08-20 Sanjit Shashi

Within AdS/CFT, we establish a general procedure for obtaining the leading singularity of two-point correlators involving operator insertions at different times. The procedure obtained is applied to operators dual to a scalar field which…

高能物理 - 理论 · 物理学 2015-06-03 Johanna Erdmenger , Carlos Hoyos , Shu Lin

Clarifying the locality properties of higher-spin gravity is a pressing task, but notoriously difficult due to the absence of a weakly-coupled flat regime. The simplest non-trivial case where this question can be addressed is the quartic…

高能物理 - 理论 · 物理学 2016-01-20 Xavier Bekaert , Johanna Erdmenger , Dmitry Ponomarev , Charlotte Sleight

We revisit the calculation of holographic correlators in $AdS_3$. We develop new methods to evaluate exchange Witten diagrams, resolving some technical difficulties that prevent a straightforward application of the methods used in higher…

高能物理 - 理论 · 物理学 2020-01-08 Leonardo Rastelli , Konstantinos Roumpedakis , Xinan Zhou

We initiate the study of holographic correlators for operators whose dimension scales with the central charge of the CFT. Differently from light correlators or probes, the insertion of any such maximally heavy operator changes the AdS…

高能物理 - 理论 · 物理学 2023-06-28 Jacob Abajian , Francesco Aprile , Robert C. Myers , Pedro Vieira

We consider a version of the $AdS_{d+1}/CFT_{d}$ correspondence, in which the bulk space is taken to be the quotient manifold $AdS_{d+1} /\Gamma$ with a fairly generic discrete group $\Gamma$ acting isometrically on $AdS_{d+1}$. We address…

高能物理 - 理论 · 物理学 2009-10-31 Yi-hong Gao

Holographic duality is argued to relate classes of models that have equivalent unfolded formulation, hence exhibiting different space-time visualizations for the same theory. This general phenomenon is illustrated by the $AdS_4$ higher-spin…

高能物理 - 理论 · 物理学 2015-06-04 Mikhail A. Vasiliev

We discuss dilatonic gravity (bulk theory) from the point of view of (generalized) AdS/CFT correspondence. Self-consistent dilatonic background is considered. It may be understood as two boundaries space where AdS boundary appears as…

高能物理 - 理论 · 物理学 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

We study general correlation functions of various quantum field theories in the holographic setup. Following the holographic proposal, we investigate correlation functions via a geodesic length connecting boundary operators. We show that…

高能物理 - 理论 · 物理学 2023-12-21 Hanse Kim , Jitendra Pal , Chanyong Park

We consider the role of boundary conditions in the $AdS_{d+1}/CFT_{d}$ correspondence for the scalar field theory. Also a careful analysis of some limiting cases is presented. We study three possible types of boundary conditions, Dirichlet,…

高能物理 - 理论 · 物理学 2009-10-31 Pablo Minces , Victor O. Rivelles

We investigate AdS/QCD duality for the two-point correlation function of the lowest dimension scalar glueball operator, in the case of the IR soft wall model. We point out the role of the boundary conditions for the bulk-to-boundary…

高能物理 - 唯象学 · 物理学 2009-09-03 P. Colangelo , F. De Fazio , F. Jugeau , S. Nicotri

We develop the representation of interacting bulk gauge fields and charged scalar matter in AdS in terms of non-local observables in the dual CFT. We work in holographic gauge in the bulk, A_z = 0. The correct statement of micro-causality…

高能物理 - 理论 · 物理学 2013-04-17 Daniel Kabat , Gilad Lifschytz

Tensor networks provide a natural framework for exploring holographic duality because they obey entanglement area laws. They have been used to construct explicit toy models realizing many interesting structural features of the AdS/CFT…

高能物理 - 理论 · 物理学 2016-11-07 Patrick Hayden , Sepehr Nezami , Xiao-Liang Qi , Nathaniel Thomas , Michael Walter , Zhao Yang

We study the correlation functions of scalar operators in the theory defined as the holographic dual of the Schroedinger background with dynamical exponent z=2 at zero temperature and zero chemical potential. We offer a closed expression of…

高能物理 - 理论 · 物理学 2009-07-30 Carlos A. Fuertes , Sergej Moroz

We present a differential representation for holographic four-point correlators. In this representation, the correlators are given by acting differential operators on certain seed functions. The number of these functions is much smaller…

高能物理 - 理论 · 物理学 2024-04-09 Zhongjie Huang , Bo Wang , Ellis Ye Yuan

We compute a family of scalar loop diagrams in $AdS$. We use the spectral representation to derive various bulk vertex/propagator identities, and these identities enable to reduce certain loop bubble diagrams to lower loop diagrams, and…

高能物理 - 理论 · 物理学 2021-05-31 Dean Carmi

We study, using the dual AdS description, the vacua of field theories where some of the gauge symmetry is broken by expectation values of scalar fields. In such vacua, operators built out of the scalar fields acquire expectation values, and…

高能物理 - 理论 · 物理学 2010-04-07 Igor R. Klebanov , Edward Witten