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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86 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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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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67 views

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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48 views

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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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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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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1answer
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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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1answer
91 views

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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29 views

AdS/CFT-oriented reviews of experimental techniques?

I am doing a PhD in AdS/CMT. In order to have a better understating of the physics of the systems the correspondence aims to describe, I am looking for accessible reviews or online seminars about the ...
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Holographic Entanglement Entropy for a mathematician

I'm not sure if this is an appropriate question for this site, but figured I'd give it a shot. I'm a mathematician (with an extremely limited background in physics) and have come across some ideas ...
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Does the state of the holographic bulk dual of a QFT depends upon more than just the wave function?

Suppose we have two different QFTs with the same set of quantum fields which differ in their Lagrangians by a relevant operator. Assume both QFTs approach a CFT fixed point in the UV. Suppose at time $...
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1answer
61 views

Connections between conformal field theory and particle physics

I'm wondering if one could use conformal field theory to predict any facts in (experimental) particle physics? I think CFT shares some similarities with QCD, but I'm not sure if one could use CFT to ...
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The black hole horizon of Jackiw-Teitelboim (JT) gravity

I am reading the papers about black hole in $AdS_2$, which can be regarded as a solution in JT gravity. More concretely I am reading this paper https://arxiv.org/abs/1908.08523 "Jackiw-Teitelboim ...
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108 views

Does the Ryu-Takayanagi conjecture only apply to vacua?

Does the Ryu-Takayanagi conjecture only apply to vacua, or does it also apply to arbitrary excited states? For excited CFT states, the entanglement entropy can be proportional to the volume, not ...
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Lie derivative and Goldstone modes

Systems with a gravity dual might experience the spontaneous breaking of a symmetry. In such a case, the dynamics of the dual QFT is determined by the Goldstone bosons. But, what do the Goldstones ...
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Contemporary resources for holographic superconductivity

I am looking for more recently-written works (either major papers or review articles) on holographic superconductivity, preferably from 2019 or 2020. The main reviews I know are the following: Sean A. ...
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Dilaton background in Replica wormholes publication

Refering to the paper "Replica Wormholes and the Entropy of Hawking Radiation" by Almheiri et al. in arXiv:1991.12333. The authors consider Jackiw-Teitelboim gravity theory describing a ...
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Scalar field theory in global AdS vs Poincare

If I solve the Klein Gordon equation in the Poincare patch with the boundary condition that the field vanishes at infinity I get a continuous set of solutions.These are normalizable solutions and I ...
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Overall constant for the three-point function of a spin 2 primary operator and two scalars

I am trying to solve Exercise 2.5 in the lecture notes on AdS/CFT by João Penedones (link: https://arxiv.org/pdf/1608.04948.pdf). The problem is as follows: Conformal symmetry fixes the three-point ...
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Free theory in AdS/CFT

In $AdS_5$/$CFT_4$, scalar fields of mass $m$ are mapped to conformal operators of dimension $\Delta$ via the dictionary: $$\frac{m^2}{L^2} = \Delta(\Delta - 4)\tag{$*$}$$ From the string theory ...
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de-Sitter space as near-horizon limit of Black Holes

We know that we can obtain $AdS_{2}$ x $S_{2}$ spacetime as the near-horizon geometry of an extremal/ near extremal RN (or Kerr) Black Hole in asymptotically flat spacetime. It is also known that we ...
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AdS/CFT Correspondence With Discrete Bulk Geometry

I am looking for an answer from AdS/CFT perspective in 2+1D. If there is a discrete bulk geometry rather than continuous, is it possible to have CFT on boundary with discrete symmetries? Can we have ...
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Conserved charges without conserved currents?

I recently read (Section 9.3 of J.Kaplan AdS/CFT notes) that we can have QFT's s.t. we have conserved charges but NO associated conserved currents. How is this related to the gauging of global ...
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KG on AdS space-time

In his TASI notes Oliver DeWolfe starts with the KG equation on the Poincaré patch metric $$ ds^2=\frac{r^2}{L^2}(-dt^2+dx^2)+\frac{L^2}{r^2}dr^2. $$ When we use the ansatz$$ \phi(r\rightarrow\infty,x,...
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Never underestimate thermodynamics (especially when it relates to gravity)

In the review paper by Subir Sachdev, the low-temperature effective action of charged SYK models has been derived using holography. In section 4, arguments of thermodynamics are used to derive the ...
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Interpretation of two independet solutions of equations of motion in AdS/CFT

I am trying to understand the statement in AdS/CFT correspondence, that from the two independent solutions of equations of motion in the bulk, one corresponds to the source of operator $\mathcal{O} (x)...
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Connection between asymptotic behavior of scalar field and scaling dimension in $AdS_4$

In Gubser's famous paper on breaking Abelian gauge symmetry near a black hole horizon, he talks about how to connect the asymptotic behavior of the scalar field $\psi$ to the scaling dimension $\Delta$...
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1answer
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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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Holographic dual to baryon

Baryons can be effectively described at low energies as solitions in Skyrme model, that describe pions as NG bosons. In Skyrme model exist current, that can be identified with baryon number current, ...

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