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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85 views

Does AdS/CFT correspondence take place only near black holes?

Is it related to black holes or is AdS/CFT a separate thing itself?
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How to see that Poincaré coordinates cover only part of AdS

Consider (d+1)-dimensional AdS space of radius $\ell$ as defined by its embedding in $R^{2,d}$ : $$ -X_0^2 + \sum_{i} X_i^2-X_{d+1}^2 = -\ell^2 $$ Now we can parametrize this surface by the Poincaré ...
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Holographic and BCS Superconductors

The AdS/CFT correspondence can explain superconductors in a holographic way, using bulk gravity with a black hole in the background and a scalar field which, under suitable conditions, acquires a VEV ...
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Target space of boundary CFT dual to a bulk string theory ($AdS_3/CFT_2$)

I was reading the Maldacena Ooguri paper where they mention that for the string theory living on $AdS_3\times S_3 \times M_4$ (where $M_4$ is $K3$ or $T^4$), the boundary CFT is the supersymmetric ...
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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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Isometries or Isometry direction of $AdS_5 \times S^5$

This is a consequent question with my previous question https://physics.stackexchange.com/q /610501/ I want to know the isometries (or isometry direction) of $AdS_5 \times S^5$. Usually, when we ...
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Metric form of $AdS_5 \times S^5$

I want to know the metric form of $AdS_5 \times S^5$. I know there are two forms (maybe more?) Poincare patch and global patch. And what is the difference between these two patches? Can you state the ...
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What is the AdS dual of a CFT vertex operator?

I am wondering about the space-time dual of a CFT vertex operator in the context of AdS3/CFT2-correspondence. In particular, a boundary CFT2 with vertex insertion should be dual to some AdS3-space, ...
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Classical theories and AdS/CFT

While editing the tag wiki for ads-cft, I initially wrote something on the lines of: The AdS/CFT correspondence is a special case of the holographic principle. It states that a gravitating theory in ...
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What is a Witten diagram?

Recently I heard the terminology of Witten diagram. Studying QFT, I frequently see Feynman diagrams and use them to compute scattering amplitudes, one-loop corrections and so on. In string theory ...
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Computing a four-point function by contraction of fields

I have some problems in understanding the following method that an author used to compute a four point function. I am referring to https://arxiv.org/abs/1711.08482, by G. Sarosi pages 21-22, and https:...
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Why we must impose this condition on the classical solution to employ the AdS/CFT dictionary?

I'm studying AdS/CFT and I have a confusion regarding conditions imposed on solutions to the KG equation in the bulk AdS. More specifically I'm considering the paper "Correlation functions in the ...
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Does asymptotically AdS mean as $z \to 0$ or as $z \to \infty$ in Poincare metric of AdS?

The Poincare metric of AdS_3 is given by $ ds^2 = \frac{R^2}{z^2}(dz^2 - dx_0^2 + dx_1^2)$. Using the coordinate transformation $\rho = \log(z)$, we can write this as, $ds^2 = R^2 (d\rho^2 + e^{-2 \...
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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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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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Brown-Henneaux Boundary Conditions

I am trying to reproduce the Brown-Henneaux boundary conditions stated in this paper (http://srv2.fis.puc.cl/~mbanados/Cursos/TopicosRelatividadAvanzada/BrownHenneaux.pdf). The paper constructs a set ...
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Unstable AdS and cosmology theory

Now that the mathematician Georgios Moschidis has shown that an AdS universe is unstable, does this mean that our universe cannot be an AdS space, so all cosmological models that using an AdS ...
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370 views

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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Relation between bulk Hamiltonian in AdS and stress energy of CFT

Consider the following two situations: One can define a stress energy for AdS which matches with the expectation value for the CFT stress tensor. Consider bulk metric perturbations of the form: $$g_{...
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Is the AdS Hamiltonian the same as the CFT Hamiltonian?

The Hamiltonian in any theory of gravity is a boundary term, consequently in AdS the Hamiltonian is a boundary term. From the AdS/CFT duality, we have the same spectrum of states on both the AdS and ...
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Question about $\rm AdS$ conformal boundary in Poincare coordinates

I've worked $\rm AdS$ using global coordinates and the ideas of a conformal boundary is plausible. Radial $\rho$ coordinate can be compactified and we can study its conformal boundary at $\frac{\pi}{2}...
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Role of AdS/CFT correspondence in the context of integrability

I was wondering how the AdS/CFT correspondence fits in the context of integrability. As I understand, the AdS/CFT correspondence postulates a duality between gravity theories and CFT's. If one theory ...
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Entanglement entropy with a local operator insertion

According to several papers discussing the behavior of entanglement entropy (EE) with a local quench or a local operator insertion (cf. https://arxiv.org/pdf/1911.04797.pdf), if the operator was ...
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Is string theory the boundary theory of M-Theory?

Looking at various AdS/CFT correspondences, we find that some (n-1) dimensional field theories on the boundary of $AdS_n$ with $N=\frac{8}{n-3}$ supersymmetries are equivalent to M-Theory in $AdS_n \...
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The energy of dual boundary field in AdS/CFT

In AdS/CFT, when the spacetime is a planar AdS black hole with dimension ($d+1$), the corresponding energy of boundary field theory is proportional to the black hole mass parameter. For example when $...
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Does the AdS/CFT correspondence for thermal states really imply time evolution for evaporating black holes is unitary?

You always hear theoreticians proudly proclaim the AdS/CFT correspondence implies time evolution for evaporating black holes is unitary. But if you examine the argument carefully, you find AdS black ...
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What is the CFT dual of the stress tensor in the bulk?

I am new to AdS/CFT. I know that the dual of the bulk metric is the CFT stress tensor but what about the dual of the bulk stress tensor? I mean in principle one can extrapolate whatever bulk fields to ...
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Anti-deSitter space vacuum, null and weak energy condition

Anti-deSitter space is characterized by a negative cosmological constant. This implies the energy momentum tensor = $T_{\mu\nu} = -\lambda g_{\mu\nu}$, where $\lambda$ is taken positive. This means ...
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Modern form of Brown-Henneaux formula

Almost every paper mentioning Brown and Henneaux's matching of asymptotic symmetries of AdS$_3$ with the Virasoro algebra of a $1{+}1$-dimensional CFT summarizes their results in the formula $$c=\frac{...
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Why do we not try to describe $4$d quantum gravity with a $3$d CFT?

In AdS/CFT correspondence, one mostly studies the case with AdS$_5 \times$ S$_5$ on the string side and $4$d $\mathcal{N}=4$ Super Yang-Mills on the gauge field theory side. Real-world observations ...
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268 views

Resources for entanglement entropy in condensed matter systems and black hole thermodynamics

Over the last month or so, I have set it upon myself to teach myself the AdS/CFT correspondence. In particular, I am interested in the connection between black hole entropy and entanglement entropy in ...
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Integral of gauge field bulk to boundary propagator in AdS

I'm studying from the book "Introduction to the AdS/CFT Correspondance" by Horatiu Nastase. In page 190, he defines the gauge field bulk-to-boundary propagator in Euclidean $AdS_{d+1}$ given ...
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Turbulence parameterization from gravity - fluid dynamics correspondence

I`m looking for a nice introductary reference that explains how the turbulence coefficient or any kind of turbulence parameterization (in view of applications to atmospheric turbulence for example) ...
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Information loss in the Page Curve?

Using the von Neumann entropy definition, the pure states have zero entropy and we have the full information about the system. My understanding is that the whole universe should be in a pure state and ...
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Describing spacetime with qubits

Susskind in one of his lectures at PiTP 2018 on Complexity and Gravity talks about describing black holes as a qubit system, comprising qubits of the order of the entropy of the black hole. This is ...
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Conformal generators in spinor-helicity variables

The question in particular pertains to Section D.1 of https://arxiv.org/abs/2005.04234. In this section, they have written the conformal generators of 3d in terms of the spinor-helicity variables. ...
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The planar limit, self-duality and their relation to two dimensions

In the lecture notes by Beisert on integrability, it is stated that integrability is a property mainly in two-dimensional field theories, with some higher-dimensional examples. As higher-dimensional ...
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Holographic principle and Wheeler's bag of gold

How is it possible to explain "bag of gold" spacetimes (see Marlof) such that the ideas are compatible with AdS/CFT and the holographic principle?
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Contribution to the emblackening factor from massive gravitons

I have been studying the effects of massive gravitons on the emblackening factor $f(r)$; i.e., given a Reissner-Nordstrom AdS geometry $$ds^2=L^2 \left(\frac{dr^2}{f(r)r^2}+\frac{-f(r)dt^2+dx^2+dy^2}{...
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Solving Schwarzian derivative differential equation in kumar paper

I Was re-driving Kumar paper (here is arxiv link of it) which is about Anti-De Sitter Black-Holes with JT Gravity,anyway I got a problem with solving a schwarzian derivative differential equation in 3....
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1answer
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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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AdS/CFT Correspondence and Statement of Purpose

I am currently a rising senior and I am currently writing a statement of purpose/research for grad school application. My interests are string theory and quantum gravity. I want to explore the ...
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Introduction to AdS/CFT

AdS/CFT seems like a really hot topic and I'd like to start reading about. I am looking for the best introduction at my level, i.e. I have a background in QFT, CFT and general relativity at the level ...
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Chern-Simons, holography, and bibliography

I am looking for review papers / online talks on Chern-Simons theory with particular focus on the gravitational dual description within the AdS/CFT framework.
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About the duality when embedding Gopakumar-Vafa into superstring theory

Vafa proposed a duality when embedding the Gopakumar-Vafa duality into superstring theory. Vafa's duality is about a correspondence N=1 supersymmetric gauge theory and superstring propagating on ...
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Overall constant for the scalar propagator in AdS background

I am trying to solve Exercise 3.3 in TASI Lectures on AdS/CFT by João Penedones. It is solving for the scalar propagator $\Pi(X,Y)$ in AdS, and states as follows: $$ \begin{align} \frac{1}{2} J_{AB}J^...
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Relationship between scaling dimension and mass in AdS/CFT

I've been reading Horatiu Nastase's notes on AdS/CFT, but I was confused about a certain relationship he claimed. If we compactify supergravity on $AdS_5\times S^5$, we may expand the fields in Kaluza-...
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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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Does string theory violate general covariance?

In a 2007 note on ArXiv, it said: String theory unifies all interaction but provides a perturbative background dependent formulation which violates general covariance. However, another 2012 paper ...
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Does the GKPW rule imply there's only one unique theory of quantum gravity?

The GKPW (Gubser-Klebanov-Polyakov-Witten) prescription relates the partition function of a CFT to that of a bulk theory of quantum gravity. Since the CFT partition function is fixed, does that mean ...

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