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.

Filter by
Sorted by
Tagged with
2
votes
0answers
25 views

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 AdS/CFT-correspondence. In particular, in the context of AdS/CFT, a boundary CFT with vertex insertion should be ...
1
vote
0answers
46 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 ...
2
votes
0answers
77 views

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:...
3
votes
0answers
60 views

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 ...
2
votes
1answer
53 views

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 ...
3
votes
0answers
34 views

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_{...
2
votes
0answers
31 views

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 ...
0
votes
0answers
29 views

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 ...
0
votes
0answers
32 views

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 ...
2
votes
0answers
36 views

Extrapolate dictionary for mixed boundary conditions in AdS/CFT

First a disclaimer, I'm a beginner with ${\rm AdS}/{\rm CFT}$ so if there are any misunderstandings of my part on the question please correct me! Consider a scalar field $\phi$ in ${\rm AdS}_{d+1}$. ...
0
votes
0answers
13 views

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 ...
1
vote
0answers
32 views

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 ...
1
vote
0answers
91 views

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. ...
1
vote
0answers
42 views

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 ...
5
votes
1answer
150 views

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 ...
1
vote
0answers
38 views

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....
2
votes
0answers
86 views

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}{...
1
vote
3answers
113 views

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 \...
0
votes
0answers
73 views

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 ...
1
vote
1answer
93 views

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}...
2
votes
0answers
29 views

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.
2
votes
1answer
90 views

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-...
1
vote
0answers
37 views

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^...
1
vote
1answer
81 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 ...
0
votes
0answers
28 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 ...
1
vote
0answers
50 views

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 ...
1
vote
0answers
57 views

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 $...
1
vote
1answer
59 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 ...
2
votes
0answers
75 views

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 ...
1
vote
1answer
102 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 ...
2
votes
0answers
42 views

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 ...
3
votes
2answers
94 views

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. ...
1
vote
0answers
50 views

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 ...
2
votes
0answers
70 views

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 ...
0
votes
0answers
36 views

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 ...
1
vote
0answers
59 views

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 ...
6
votes
2answers
116 views

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 ...
1
vote
0answers
16 views

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 ...
3
votes
0answers
82 views

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 ...
2
votes
1answer
43 views

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,...
2
votes
0answers
67 views

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 ...
2
votes
0answers
27 views

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)...
6
votes
1answer
160 views

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 $\Delta$...
2
votes
1answer
110 views

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 ...
2
votes
2answers
83 views

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, ...
3
votes
1answer
91 views

CFT dual to a black hole

AdS/CFT is famous correspondence between gravity and CFT. What one can say about black holes using this correspondence? What CFT object correspondent for black hole? For charged black hole? ...
3
votes
1answer
102 views

Bulk/boundary duality for matter fields?

Usually, in gauge/gravity duality we have some CFT on a boundary that is dual to a gravity in the bulk. Although CFT is never written in Lagrangian form, it seems for me, that AdS/CFT correspondence ...
1
vote
1answer
59 views

Radial Commutativity in AdS/CFT

I am reading Daniel Harlow's Tasi lecture notes on the emergence of bulk physics in AdS/CFT, and the question that I have is regarding the radial commutativity puzzle given in these notes. First, I ...
2
votes
0answers
29 views

Hawking-Page Phase Transition for Charged AdS Black Holes

My question is concerned with the vacuum state of charged black holes in a Hawking-Page type phase transition. Is the vacuum of a charged AdS$_d$ black hole a pure AdS$_d$ spacetime or an AdS$_d$ ...
0
votes
1answer
60 views

Confusion between Green function and solution of equation of motion in Witten's paper on holography and AdS

I was going through Witten's paper on AdS and holography , and am confused in section 2.4. He starts by considering a massless scalar action in Euclidean AdS spacetime, with a boundary value $\phi_0$. ...

1
2 3 4 5
9