Questions tagged [ads-cft]

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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How is encoded the information on the surface of the volume' s boundary?

In the context of the holographic principle, who states that the entropy of ordinary mass (not just black holes) is also proportional to surface area and not volume;that volume itself is illusory ...
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What is really this Gauge-Gravity duality all about?

I have no background in string theory but have a reasonable exposure to quantum field theory including the quantization of gauge theories. In simple terms what is this Gauge-Gravity duality all about ...
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AdS/CFT and finiteness of entanglement entropy in CFT

AdS/CFT duality maps string theory to conformal field theory. String theory confirms Bekenstein-Hawking entropy, and thus the dual CFT must confirm it. However, CFT is still a quantum field theory, ...
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Boundary times and bulk time in eternal black hole duality

In AdS/CFT, a particular duality is the correspondence between an eternal black hole in AdS spacetime (a large maximally extended AdS-Schwarzschild black hole) and the thermofield double state, \begin{...
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How does gauge theory become strongly coupled at large $N$ whether it's coupling is proportional to 1/$\sqrt N$?

At large $N$, gravity theory becomes weakly coupled is correct as we see from its formula that string's coupling is proportional to $1/N^2$. then how could gauge theory become strongly coupled?
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Form of Light-Cone in pure $AdS_3$

There is a picture in the article of Harlow which (in particular) represents light cone in $AdS_3$. Note that point X has nonzero radial coordinate. If point X has zero radial coordinate it is quite ...
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Can String Theory really fail to contain a de Sitter vacua?

I was reading a post earlier from Peter Woit's Not Even Wrong blog and came across the following reference to the paper "What if string theory has no de Sitter vacua?" by Ulf H. Danielsson, Thomas Van ...
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Mirror Symmetry and Ads/CFT

As far as I know, mirror symmetry has its origins in the Kaluza-Klein idea where the extra dimensions of spacetime are "curled up" or "compactified" into a Calabi-Yau manifold, which is why we see ...
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Very basic question on AdS/CFT

I was going through the introductory material by Horatiu in Ads-CFT. It says that $N+1$ D-branes are split into $N$ D-Branes and a probe D-Brane. The Wilson loop is located on the probe D-brane, which ...
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Black holes in AdS/CFT

In Swingle's work Entanglement Renormalization and Holography, he mentioned that a black hole in AdS bulk corresponds to a finite temperature boundary state. With the MERA picture of the entanglement ...
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130 views

How can the information encoded in a boundary be changed in holographic principle?

When information is encoded in a lower dimensional boundary of a bulk, following the holographic principle, it would raise a universe in the boundary with physics determined by the information encoded ...
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306 views

How does holographic duality work?

In holographic theories about the universe, the one being in the boundary of the space, takes information of the higher dimensional universe, so, two different theories can describe the two universes. ...
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Does CFT in AdS/CFT live in flat spacetime?

As the title says, does CFT in AdS/CFT live in flat spacetime, or is it only approximately flat?
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AdS/CFT scalar 3-point function integral from Feynman parametrization?

In this paper the scalar 3-point function in AdS/CFT is obtained by performing the following integral: The authors comment that they obtain the result by Feynman parameter integration. For practice I ...
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Confused by Maldacena video about AdS/CFT

I was watching this https://www.youtube.com/watch?v=Iz2ie3i1Gh0 about Ads/CFT. Very nice video from the master himself. I got confused though about what he calls $N$. Basically he says $N$ is the ...
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What is the relation of the mass of vector field in bulk and the scaling dimension of current operator in CFT?

In AdS/CFT correspondence, we know that, $$m^2=\Delta(\Delta-d)$$ where m is the mass of a scalar field and $\Delta$ is the scaling dimension of the dual operator in CFT. What about the relation of ...
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Gauge invariant operators in AdS/CFT

I am working on the AdS/CFT correspondence and I am on the field-operator map. I have found in several textbooks the following statement, which refers to the operators of CFT: "The field theory ...
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Mixed states in field theories and their AdS duals

I am trying to self study aspects of AdS-CFT, particularly the implication of the Ryu-Takayanagi entanglement entropy formula. I have been thinking about the following question and it would be a great ...
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Holographic entanglement entropy for measures other than the Von Neumann entropy

In Ads-CFT, the Ryu-Takayanagi Entanglement entropy formula gives a nice geometric interpretation (in the bulk) for the entanglement of a region in a CFT. Also, it is much easier to calculate the ...
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701 views

AdS Space Black Holes Penrose Diagram

How do we construct the Penrose diagram for an AdS Space Schwarzschild solution? We start with the AdS Schwarzschild Metric and then do some transformation to compactify the coordinate ranges? What ...
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What is fundamental in the AdS/CFT holographic universe formulation of String theory?

I have a lot of confusion about the AdS/CFT with holography. Does it show that strings and branes are excitations of fields on the conformal boundary of the universe (CFT)? Can someone explain the AdS/...
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Why is it possible to have a consistent CFT defined just on a Poincare patch?

I have a good picture of AdS/CFT correspondence when the AdS space is given in terms of Global coordinates. In global coordinates, the AdS space is just a cylinder (up to a conformal factor) and ...
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Holography on non-AdS spacetime

I have a question regarding AdS/CFT and what it teaches about our world. AdS/CFT if often treated as our best tool to explore quantum gravity, and people have worked very hard in trying to understand ...
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Are all the asymptotic symmetries always infinite dimensional?

We know that the asymptotic symmetry of AdS$_3$ is the Virasoro symmetry, which is infinite dimensional. For flat spacetimes, the BMS group is also infinite dimensional. So are all the asymptotic ...
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202 views

Issues with de Sitter Space and Conformal Field Theory

As a de Sitter universe is more convenient for cosmology, what are the current issues with a dS/CFT type correspondence? Earlier work by Strominger, seemed promising but I haven't heard of additional ...
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Do Liouville theory have a gravity dual?

Does Liouville theory have a gravity dual? I think the answer is not. But what's wrong with Liouville theory? What features of Liouville theory are universal for other CFTs?
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AdS/CFT at small and large central charge

We know that the AdS/CFT duality is a valid correspondence for large central charge (in the semi-classical limit). If this duality is valid for small central charge (in the quantum regime) is unclear. ...
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Appropriate gauge-invariant counterterms for Maxwell field in $AdS_5$

I am starting with the bulk Maxwell field in $AdS_5$, and want to calculate the on-shell action. My metric is $$ds^2 = \dfrac{dz^2 - dt^2 + \vec{dx^2}}{z^2}$$ from which I calculate the on-shell ...
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$\mathbb{R}\times\mathbb{S}^{n-1}$ for n>1, in Gravity , QFT, CFT,

Edited: I'm searching for some application of this manifold in CFT $\mathbb{R}\times\mathbb{S}^{n-1}$ for n>1. However, I need some examples of this kind of manifold in QFT, CFT, Gravity, etc. of any ...
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How is AdS / CFT a “successful realisation” of the holographic principle?

According to the Wikipedia articles of both AdS/CFT correspondence and the Holographic principle state that the former was a 'successful realisation of the latter. Does that mean that the Holographic ...
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Near Horizon Vector Field

I am studying this paper https://arxiv.org/pdf/0811.4393.pdf. I find a probem to find the near horizon form of the vector (2.17) and electromagnetic (2.18) field. I have tried to use the near horizon ...
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Supersymmetry in AdS/CFT

In the original form of Maldacena's AdS/CFT, the bulk is classical supergravity and the boundary is superconformal field theory in the Maldacena's limit. However, in many applications of AdS/CFT, for ...
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Is there non-locality in the AdS/CFT?

Many String theorists are trying to restore bulk locality in the AdS/CFT. So does that mean the CFT, the boundary, is non-local? Does matter travel faster than light on the CFT?
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Virasoro descendants in Big Yellow Book

Equation 6.137 (page 175) of the Conformal field theory book by Philippe Di Francesco, Pierre Mathieu, David Sénéchal, is $$(L_{-n-2}A)(w)=\frac{1}{n!}(\partial^nTA)(w)$$. Is this equivalent to $$(...
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Quenched systems - disorder average (SYK model)

In a system with quenched disorder one is usually looking for self-averaging quantities, i.e., quantities such that the average over the couplings produces a ``typical" configuration in the ...
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Wilson loop in AdS/CFT : string interpretation

It is well known that Wilson loop is a quite hard observable to compute. In the case in which the QFT is dual to a gravitation theory in AdS space, we can use holography to compute the Wilson loop, ...
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CFT energy scale in AdS/CFT correspondence

In the context of the AdS/CFT correspondence, the coordinate $z$ of AdS in Poincarè coordinates is often identified with an (inverse) energy scale for a CFT. I don't quite understand this ...
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The AdS in AdS/CFT correspondence is really a class of spacetimes which asymptotes to a subclass of spacetimes with the same causal structure as AdS

On page 131 of these notes, a precise formulation of the AdS/CFT correspondence is given by the GKPW dictionary $$Z_{\text{grav}}[\phi_{0}^{i};\partial M] = \langle \exp \left( - \frac{1}{\hbar} \...
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The gravitational path integral in the AdS/CFT correspondence depends on the boundary submanifold of the bulk manifold

On page 131 of these notes, a precise formulation of the AdS/CFT correspondence is given by the GKPW dictionary $$Z_{\text{grav}}[\phi_{0}^{i};\partial M] = \langle \exp \left( - \frac{1}{\hbar} \...
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Infrared and ultraviolet limits of the bulk scalar mass and CFT operator dimension in the AdS/CFT correspondence

On page 131 of these notes, a precise formulation of the AdS/CFT correspondence is given by the GKPW dictionary $$Z_{\text{grav}}[\phi_{0}^{i};\partial M] = \langle \exp \left( - \frac{1}{\hbar} \...
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Partition function of a conformal field theory in the AdS/CFT correspondence

Background: The following question is from page 131 of Tom Hartman's notes on Quantum Gravity and Black Holes. The GKPW dictionary states that $$Z_{\text{grav}}[\phi_{0}^{i};\partial M] = \langle \...
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How to interpret this image of $AdS_5\times S^5$?

In the context of AdS/CFT an image like the following (coming from this article by David Mateos) is often shown: but I'm not really sure if I interpret it correctly. As the article says, we have a ...
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Boundary conditions due to local and global diffeomorphisms

Consider the following extract from page 2 of this paper. $AdS_3$ is the $SL(2, \mathbb{R})$ group manifold and accordingly has an $SL(2, \mathbb{R})_{L} \times SL(2, \mathbb{R})_{R}$ isometry ...
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Finite mass excitations of $AdS_{3}$

Consider the following extract from page 2 of this paper. AdS3 is the $SL(2, \mathbb{R})$ group manifold and accordingly has an $SL(2, \mathbb{R})_{L} \otimes SL(2, \mathbb{R})_{R}$ isometry ...
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Understanding the Monster CFT

I try to understand what the Monster CFT and its possible connection to 3 dimensional gravity at ($c=24$) is about (see https://arxiv.org/abs/0706.3359) To my best understanding (and please correct ...
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References for AdS/CFT correspondence between dimensions 3 and 2

I would like to inquire about references for the AdS/CFT correspondence in dimensions 3 and 2, namely between $AdS^3$ (and gravity there) and its 2-dimensional boundary at infinity (and CFT there). ...
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Holographic geodesic derivation in AdS3 and BTZ

I am trying to derive equation 2.4 in the article https://arxiv.org/pdf/hep-th/0603001.pdf The AdS3 metric in global coordinates $(t,\rho,\theta)$ is given by \begin{align} ds^2=R^2(-\cosh^2\rho dt^2+...
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When to trust Holography?

AdS/CFT correspondence allows us to compute $n$-point functions of a CFT by means of solving on-shell gravitational action in anti-de Sitter space. If I understand correctly, considering classical ...
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555 views

Deriving the Poincare patch from global coordinates in AdS$_{3}$

I have been reading Thomas Hartman's lecture notes on Quantum Gravity and Black Holes. In page 97, he derives (9.4), which is the metric of AdS$_{3}$ in global coordinates: $$ds^{2} = \ell^{2}(-\...
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Identifying superalgebras with fixed points under Cartan involution

I am making my way through the "Foundations of the $AdS_5 x S^5$ Superstring: Part I" paper by Arutyunov/Frolov 2009 (https://arxiv.org/abs/0901.4937v2) and am hoping someone can help me bridge a ...