AdS/CFT is a special case of the holographic principle. It states that a quantum gravitating theory in Anti-de-Sitter (AdS) space is exactly equivalent to the gauge theory/Conformal Field Theory (CFT) on its boundary.

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BTZ black hole as a quotient of AdS space

I am trying to understand this paper 1 and trying to reproduce some calculations and had some questions about that. In section 3.2, page 12, eq. 3.9, the authors are writing normal geodesics of an ...
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Why Is There No Oscillator Representation for Operators in Planar ${\cal N}=4$ SYM Theory?

I'm studying the planar ${\cal N}=4$ Super Yang-Mills (SYM) theory and I'm curious about the representations of its operators, specifically the Hamiltonian and the dilatation operator. In many quantum ...
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What is the dual asymptotic spacetime of a CFT on a particular flat manifold?

According to AdS/CFT correspondence, the dual theory of a boundary CFT on flat spacetime is defined on an asymptotically AdS spacetime. The nature of the bulk spacetime depends on the topology of the ...
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Bulk-to-bulk propagator in 3-point function in AdS-CFT correspondence. Trouble solving a PDE

I have encountered an issue in a PDE (A Green's function actually). I am solving it in $(d+1)$-dimensions and I use Poincare coordinates in AdS spacetime, meaning I have a dimension $z$ and I also ...
1 vote
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Trouble in complex integral while calculating 2-point function in AdS-CFT correspondence [closed]

Upon calculating the 2-point function of a scalar, I ran in a problem in the final calculations. For reference, I am basiccaly following the methodology of https://www.sissa.it/tpp/phdsection/...
1 vote
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How do hyperbolic tessellations like {7,3} in Anti de-Sitter space relate to our intuition of 3D space (or 4D structure if you include time)?

I just ran into the AdS/CFT correspondence, as I am looking at various use-cases of hyperbolic tessellations, specifically related to the pentagrid and heptagrid as defined by Maurice Margenstern in ...
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Replica wormholes in $AdS_5 \times S^5$ holography

I have a question about replica wormholes and the CFT ensembles in AdS/CFT. To make sure that my question isn't coming from a simple misunderstanding, I'll first sketch out my current understanding on ...
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Definition of “quasi-locality” in Wilsonian RG scheme

I’m studying about the holographic RG with this paper. In that paper they say Wilsonian action expects quasi locality, but I’m not sure what “quasi-locality" exactly means. If quasi-locality ...
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Is there any proposed holographic/thermodynamic interpretation of gravitational time dilation?

In AdS/CFT and holography more generally, many proposals of various degrees of plausibility have been made linking apparently physical notions on the bulk side to more information-theoretic, ...
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AdS$_3$ Geodesics' Length in ambient space as done in "Aspects of Holographic Entanglement Entropy"

I have been following the mentioned paper ("Aspects of Holographic Entanglement Entropy" hep-th/0605073 by Shinsei Ryu and Tadashi Takayanagi), trying to get into AdS/CFT. In section 6.2 ...
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What are single-, double- and multi-trace operators in AdS/CFT?

Can someone explain what are single-, double- and multi-trace operators are in AdS/CFT? I am a senior undergrad and only recently started studying AdS/CFT from TASI lectures and could not make much ...
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As I work through AdS/CFT exercises, it struck me that there seemed no one doing the following. Suppose we have a holographic CFT. By some reeconstruction method, we can write CFT operators in terms ...
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How does the bulk-to-boundary propagator transform under diffeomorphisms?

In AdS/CFT, the bulk-to-bulk propagator can be obtained as the limit of the bulk-to-bulk propagator with one point approaching the boundary. For example in the scalar case K_{\Delta}(...
1 vote
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Are there AdS/CFT duals all the way down?

Last night I was thinking about the AdS/CFT correspondence, and I thought of the following scenario: Consider a 4D AdS universe with only a single black hole. Assuming the bulk and boundary are ...
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Energy conservation in string theory?

From what i understand string theory usually lives in a Minkowski Spacetime or AdS spacetime. In Minkowski Spacetime conservation of energy is usually very straightforward, is this also the case in ...
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Why and how we study different limits in quantum gravity?

While I'm reading an article, I get confused by why and how we study different limits in quantum limit. In this paper, the author introduced four limits in D0-brane quantum mechanics: the DKPS (...
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Relationship between CFT coupling constants and gravity parameters in the AdS/CFT correspondence

The AdS/CFT correspondence relates a string theory in AdS to quantum field theory. Various versions of this correspondence exist, and I want to know the map between parameters in the field theory and ...
1 vote
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Why $N\to \infty$ limit implies $g_s \to 0$ in holographic QCD?

One basic difficulty in QCD is that it does not contain a small dimensionless quantity that would allow for perturbative calculation of low-energy observables. A remarkable feature of holographic ...
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Gravity dual of the string world-sheet CFT?

The AdS/CFT correspondence conjectures a duality between a $(D+1)$ dimensional gravity theory in asymptotic AdS spacetime with a $D$ dimensional conformal field theory. Is there any sense in asking ...
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I am trying to understand the paper "Anti De Sitter Space And Holography" by E. Witten (cf. https://arxiv.org/abs/hep-th/9802150). One of the first point it makes is that "Minkowski ...
1 vote
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(Why) does the late radiation after page time entangle with the early radiation?

In Jerusalem lectures by Harlow Pg. 53 it is said that At the beginning of the evaporation process the radiation that comes out is entangled with the remaining black hole. But eventually it must ...
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Do all small-large AdS black hole phase transitions have swallow tail like behaviour for the Free Energy v/s Temperature plot?

In the literature the swallow tail like behaviour is prominently seen for small-large AdS black hole phase transition for the Free Energy vs Temperature Plot. Recently I was trying to reproduce the ...
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Why do we expect isometries of bulk side to be equivalent to symmetries of the CFT?

One can clearly see that the AdS bulk isometries form the $SO(d,2)$ symmetry of the $d$ dimensional CFT explicitly. Why does this occur: why don't the isometries of the spacetimes match up or the ...
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Why is empty AdS identified with CFT vacuum and what do excited states correspond to?

I have a few questions regarding the AdS/CFT dictionary regarding the state-state map. I have seen people identifying the empty AdS spacetime with a CFT vacuum. What do they mean by "empty" ...
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Unitarity in the 't Hooft limit

Consider a quantum gauge theory with a holographic dual at infinite $N$ and 't Hooft coupling, in which the gauge theory is described by classical (super)gravity. If I initialize the system in a pure ...
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How to derive the probability distribution of reduced density matrix eigenvalues for randomly chosen pure states in Page's theorem?

Motivation I am trying to reproduce the proof in Page's theorem as conjectured in the seminal paper Average Entropy of a Subsystem by Don N. Page. It is crucial in various resolutions of black hole ...
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