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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370 views

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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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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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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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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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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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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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 ...
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CFT dual to rotating black hole

It is known that the dual CFT to Schwarzschild black hole (BH) in AdS is at finite temperature and the temperature is same as the Hawking temperature of the BH. For Reissner-Nordstrom BH in AdS the ...
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$\mathrm{AdS_3}$ bulk with BTZ black holes and particles in AdS/CFT

Consider three-dimensional anti-de Sitter space $\mathrm{AdS_3}$ treated as the $SL(2,\mathbb{R})$ group manifold, thus parametrised by elements $g \in SL(2,\mathbb{R})$. This space has as isometry ...
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Global $SU(N)$ on the gravity side in AdS/CFT

For AdS/CFT to make sense, symmetries must match between the AdS side and the CFT side. Gauge symmetries are redundancies, not symmetries, therefore the CFT can have a (large) gauge symmetry, say $SU(...
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133 views

Definitive form of M/String theory and AdS/CFT role

What is the principal/more actual strategy in order to find the definitive form of M/String theory? I mean, you have a (for example) $10^{500}$ string theory possibilities landscape (given by the ...
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Is metric a classical or a quantum field in General Relativity?

I am currently reading the article of A Castro about $AdS_3/CFT_2$. I have a confusion in reconciling several definitions. It appears that I've understood them imprecisely or may be wrong. These ...
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CFT with noncompact target space => no well-defined vacuum state?

In Maldacena & Nunez's paper, on page 6, when they discuss the compactification of Type-IIB on $\textbf{R}^6 \times K3$ (with D3 branes wrapped on $\textbf{R}^{1,1} \times \Sigma$ where $\Sigma$ ...
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Why don't we consider the representation theory of isometry groups of space-times in curved QFT?

In relativistic quantum field theory, physical quantities such as tensor and spinor can be considered as representations of the Poincaré group $\mathrm{ISO}(d,1)$, the isometry group of the given $(d+...
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holography dual in flat spacetime

In AdS/CFT the bulk geometry is AdS spacetime, the flat limit of AdS is taking to the radius of AdS to infinity. By taking this limit can one get the holography dual in flat spacetime from AdS/CFT, or ...
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$\mathrm{AdS}_3$ Bulk-to-bulk propagator in global coordinates

What is the expression of Bulk-to-bulk propagator in global coordinates? I mean, I know that there is the standard expression in terms of hypergemotric funciton depending on the invariant chordal ...
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AdS/CFT correspondence and M-theory

Three questions: What can be some applications of AdS/CFT correspondence on M-theory? For example, would it be possible to represent 11-dimensional world using 10-dimensional surface? It seems that ...
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Differences and relations between CFTs defined on the complex plane and CFTs defined on the torus?

What are the differences and relations between CFTs defined on the complex plane and CFTs defined on the torus? Are they supposed to be the same CFTs? I think they should have the same spectra of ...
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Sub-Ads scale resolution of pluperfect tensor network

I am currently reading article "Bidirectional holographic codes and sub-AdS locality". [I] This article presents tensor networks which are built from so called pluperfect tensors. Authors claim that ...
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AdS/CFT, QCD & String Phenomenology

The AdS/CFT correspondence in its prototypical case states that $\mathcal{N}=4$ Super Yang-Mills is dual to string theory in an $AdS_5 \times S^5$ background. Since this duality is of the type strong/...
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D3-brane in AdS/CFT correspondance

I was reading a paper by Veronika Hubeny The AdS/CFT correspondence 1. Maldacena chose a D3-brane system to derive his conjecture. So I was wondering, why "D3-brane"? In other words, I need to know ...
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Shooting Method for coefficient matching in holography

Usually when one is attempting to solve the equations of motion of a bulk field in the AdS/CFT framework the main goal is to understand if a corresponding boundary operator aqcuires a VEV (commonly ...
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Is $\mathcal{N} = 4$ SYM a “toy model”?

The second sentence of the Wikipedia article on $\mathcal{N} = 4$ supersymmetric Yang-Mills theory describes it as "a simplified toy theory." But the AdS/CFT correspondence conjectures that it is ...
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255 views

Continuous spectrum implies divergent partition function

I have encountered a statement which I don't understand: When the energy spectrum is continuous above a certain minimum energy, the partition function $Z$ diverges for all $Re(\beta)>0$, where $Z=...
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Rotating Branes and AdS/CFT

Do we have an extension of the AdS/CFT correspondence for rotating branes? Are the rotating branes, the supergravity analog of the Kerr Black Holes in General Relativity? What are the most ...
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Subtleties in AdS$_2$/CFT$_1$

I was looking at few papers on AdS$_2$/CFT$_1$. It seems to me that this is not as well studied as the higher dimensional dualities (e.g, AdS$_3$/CFT$_2$ or AdS$_5$/CFT$_4$). Can someone summarize ...
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AdS/CFT-duality: How does the $U(1)$ decouple form the $U(N)$?

A stack of N coincident D3-branes on its world-volume describe, at the lowest order in $\alpha'$ and in absence of non-trivial background fields, a supersymmetric $U(N)$ gauge theory as explained in ...
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165 views

Importance of AdS boundary

I was reading a chapter about Anti-de Sitter space-time, it was mentioned that it has a boundary and this boundary is its most striking feature. Note that they weren't taking about the AdS/CFT ...
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314 views

Large $N$ expansion vs AdS/CFT

I'm beginning to learn AdS/CFT and I have an elementary question. It is said that since it is very hard to calculate 4 point and above correlators in a strongly coupled CFT, we can use instead the ...
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A basic question on AdS/CFT

Previously I asked a question Question on dimensions of CFT operators (ref: MAGOO, hep-th/9905111) here and it was (correctly of course) answered by Motl. I realized I didn't understand a part of it ...
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Bulk-to-Boundary propagator

How can I show that the bulk-to-boundary propagator $$ K(z,x;x')~=~\frac{z^{\Delta}}{[z^2+(x-x')^2]^{\Delta}} \tag{1} $$ goes as a delta function near the boundary $$ K(z,x;x')~\sim ~z^{d-\Delta}\...
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Has Sen quantized superstring fields?

Today I saw a paper by Ashoke Sen titled "BV Master Action for Heterotic and Type II String Field Theories". Is it really the "quantization" of superstring fields for the first time? What can be its ...
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How is the two-point function of an operator dual to a scalar ADS field obtained in ADS/CFT?

The two point function of an operator dual to a scalar field in ADS/CFT can obtained directly from computation of the on-shell action in momentum space and then taking it back to position space. The ...
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AdS Black holes

How is the mass of the black hole defined in a asymptotcally AdS solution of the black hole? How can I find it? Beacause in asymptotcally flat solution I can read it from the $g_{tt}$ component of the ...
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Correlator of energy-momentum tensor and OPE

In http://arxiv.org/abs/hep-th/9108028 Equation (2.22), the correlation function of then energy-momentum tensor with some primary fields is We can view this as sum over the OPE of the energy-...
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Superconformal approach to supergravity

In the book (Supergravity - Daniel Z.Freedman & Antoine Van Proeyen - Cambridge), there is (Chapters 16-17) a presentation of pure supergravity or supergravity with matter, from a superconformal ...
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Are the quasinormal modes scalar quantities?

I am studying the so-called quasinormal modes (QNMs) in the context of the AdS/CFT correspondence and I got stuck. For instance, if I choose a weird patch of coordinates for the, say, AdS5-...
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What is the origin of the five-form field in bubbling Ads geometries?

I have been reading the paper: Bubbling Ads space and the 1/2 BPS geometries[hep-th/0409174]. In the paper they look at 1/2 BPS states in the field theory which are dual to D3 branes IIB supegravity. ...
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Collapse of two large black holes in AdS

In $4d$ flat space, two black holes of mass $M$ can collapse to form another one of (roughly) mass $2M$. This process is spontaneous, as reflected by the fact that the black hole entropy $S=M^2$ ...
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Norm definition for arbitrary spin fields in AdS

In AdS/CFT one usually hears of normalizable and non-normalizable modes regarding the independent solutions for the different fields. I've found that the "natural" definition of the norm in the case ...
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Scalar Field in Global AdS

I have to solve the Klein Gordon equation for a scalar field, in global $AdS_3$ (covering space, with non periodic $\tau$) written as $$ ds^2=\frac{R^2}{\cos^2\rho}(-d\tau^2+d\rho^2+\sin^2\rho d\theta^...
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Density of states from the Retarded Green's function for a rotating black hole

I have been studying the scattering of a scalar field around a rotating black hole in the near-horizon extremal limit. The radial solution provides the retarded Green's function, just by taking the ...
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Applying AdS-CFT to traversable wormholes? [closed]

ER=EPR recently brought up the connection between non-traversable wormholes and entanglements. What about traversable wormholes? Can we apply AdS/CFT to traversable wormholes?
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Ads/CFT coordinates

I have an AdS space written in Poincare' coordinates and in global coordinates. The transformation that brings one set in the other is a conformal transformation?
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210 views

Scalar fields in AdS$_3$

I'm looking at lecture notes on AdS/CFT by Jared Kaplan, and in section 4.2 he claims that the action for a free scalar field in AdS$_3$ is $$S=\int dt d\rho d\theta \dfrac{\sin\rho}{\cos\rho}\dfrac{1}...
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What is a zero temperature horizon?

While reading the paper "Disorder horizons: Holography of randomly disordered fixed points" by Hartnoll and Santos, I came across this: We are interested in solutions with a zero temperature ...
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Wilson Loop in AdS/CFT

In AdS/CFT correspondence one can compare results in $\mathcal{N}=4$ SYM with string theory type IIB in $AdS_5 \times S^5$. One of the observables that it's possible to get non-perturbative results is ...

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