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These lecture notes aim to provide a pedagogical introduction to the AdS/CFT correspondence and its extensions to spacetimes with positive (de Sitter spacetime) and zero (flat spacetime) cosmological constant. We begin by explaining the…

高能物理 - 理论 · 物理学 2026-02-04 Gopal Yadav

4D Lorentzian conformal field theory (CFT) is mapped into 5D anti-de Sitter spacetime (AdS), from the viewpoint of "geometrizing" conformal current algebra. A large-N expansion of the CFT is shown to lead to (infinitely many) weakly coupled…

高能物理 - 理论 · 物理学 2013-05-30 Raman Sundrum

The goal of these notes is to introduce, in a very elementary way, the idea of the anti de-Sitter/Conformal Field Theory (AdS/CFT) correspondence to condensed matter physicists. This theory relates a gravity theory in a (d+1)- dimensional…

强关联电子 · 物理学 2010-07-01 A S T Pires

We analyze the pattern of fields in d+1 dimensional anti-de Sitter space in terms of those in d dimensional anti-de Sitter space. The procedure, which is neither dimensional reduction nor dimensional compactification, is called dimensional…

高能物理 - 理论 · 物理学 2009-09-02 A. Yu. Artsukevich , M. A. Vasiliev

We explore aspects of the physics of de Sitter (dS) space that are relevant to holography with a positive cosmological constant. First we display a nonlocal map that commutes with the de Sitter isometries, transforms the bulk-boundary…

高能物理 - 理论 · 物理学 2009-03-16 Vijay Balasubramanian , Jan de Boer , Djordje Minic

We investigate de Sitter/conformal field theory (dS/CFT) correspondence in two dimensions. We define the conserved mass of de Sitter spacetime and formulate the correspondence along the lines of anti-de Sitter/conformal field theory…

高能物理 - 理论 · 物理学 2009-11-07 M. Cadoni , P. Carta , M. Cavaglia' , S. Mignemi

We show that the anti-de Sitter(AdS) space naturally emerges from the conformal field theory(CFT). The behavior of the leading divergent term in the entanglement entropy implies the underlying AdS geometry. The coefficient of the leading…

高能物理 - 理论 · 物理学 2017-09-22 Seungjoon Hyun , Sang-A Park

We describe a class of spacetimes that are asymptotically de Sitter in the Poincare slicing. Assuming that a dS/CFT correspondence exists, we argue that these are gravity duals to a CFT on a circle leading to uniform energy-momentum…

高能物理 - 理论 · 物理学 2015-06-18 Diptarka Das , Sumit R. Das , K. Narayan

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…

高能物理 - 理论 · 物理学 2023-08-02 Erin Blauvelt , Laura Engelbrecht , Kurt Hinterbichler

The cosmological horizon has an associated entropy suggesting that it might encode a quantum mechanical system on its surface. This has motivated extending the principles of the anti-de Sitter (AdS) space/ conformal field theory (CFT)…

高能物理 - 理论 · 物理学 2024-07-22 S. E. Aguilar-Gutierrez

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…

高能物理 - 理论 · 物理学 2014-12-09 Sugumi Kanno , Misao Sasaki , Jiro Soda

It was discovered in recent months that the anti-de Sitter (AdS) backgrounds involved in all familiar top-down examples of AdS/CFT duality follow from applying a transverse nonrelativistic brane limit to string/M theory on (asymptotically)…

高能物理 - 理论 · 物理学 2025-11-18 Andrés Argandoña , Alberto Guijosa , Sergio Patiño-López

The AdS/CFT correspondence is an exact duality between string theory in anti-de Sitter space and conformal field theories on its boundary. Inspired in this correspondence some relations between strings and non conformal field theories have…

高能物理 - 理论 · 物理学 2008-11-26 Henrique Boschi-Filho , Nelson R. F. Braga

The AdS/CFT correspondence between string theory in AdS space and conformal field theories in physical space-time leads to an analytic, semi-classical model for strongly-coupled QCD which has scale invariance and dimensional counting at…

高能物理 - 理论 · 物理学 2017-08-23 Stanley J. Brodsky , Guy F. de Teramond

The dS/CFT correspondence differs from its AdS/CFT counterpart in some ways, yet is strikingly similar to it in many others. For example, both involve CFTs defined on connected spaces (despite the fact that the conformal boundary of…

高能物理 - 理论 · 物理学 2010-12-23 Brett McInnes

Three-dimensional warped anti-de Sitter space in topologically massive gravity with a negative cosmological constant has been proposed to be holographically dual to a two-dimensional conformal field theory. We extend this proposal to both…

高能物理 - 理论 · 物理学 2010-02-23 Dionysios Anninos

The attempt to understand if AdS/CFT correspondence may be realized as the one between some AdS-like cosmological space and CFT living on the boundary is made. In order to obtain such cosmology we exchange the time and radial coordinates in…

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

The AdS/CFT correspondence between conformal field theory and string states in an extended space-time has provided new insights into not only hadron spectra, but also their light-front wavefunctions. We show that there is an exact…

高能物理 - 唯象学 · 物理学 2017-08-23 Stanley J. Brodsky

We review recent progress in understanding the anti-de Sitter/conformal field theory correspondence in the context of two-dimensional dilaton gravity theory.

高能物理 - 理论 · 物理学 2009-11-07 M. Cadoni , P. Carta

We introduce a D7-brane probe in AdS_5 x S^5 background in a way that the 4d part of the induced metric on D7-brane becomes 4d de-Sitter space (dS_4) inside AdS_5 instead of 4d Minkowski space. Although supersymmetry is completely broken,…

高能物理 - 理论 · 物理学 2009-11-11 Takayuki Hirayama
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