Questions tagged [holographic-principle]

The Holographic principle is a principle of string theories and a supposed property of quantum gravity that states that the information within a region is exactly described by that on its boundary. DO NOT USE THIS TAG for a photographic hologram.

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AdS-CFT correspondance from 1D to 4D

From what I understand the AdS-CFT correspondence states that the bulk dynamics of a $n$-dimensional gravitational theory are encoded in the degrees of freedom of its dual CFT in the $(n-1)$ ...
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Computing the DBI action on $S^5$

I've been looking at this paper (arXiv: 1103.4079). On page 7, from the metric of the giant gravtiton on $AdS_5 \times S^5$, $$ds^2 = -\cosh^2\rho \, dt^2 + d\rho^2 + \sinh^2 \rho \, d\tilde \Omega_3^...
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Question on "proof" of the holographic feature of euclidean quantum gravity

In a preceding question, where more details about what I'm doing here are given, I pointed out the possibility for euclidean quantum gravity to exhibit a holographic property. Technically there is no ...
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How can holographic duals (eg. AdS/CFT) be used to study magnetic monopoles? [closed]

What useful things are possible to find out about magnetic monopoles through the use of dual theories? I'm thinking of characteristics such as stability (or chaoticness), expectation values, central ...
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Transition amplitudes in AdS/CFT

Consider $AdS_{d+1}/ CFT_d$ duality. Suppose the bulk metric in Poincare coordinates is $$ds^2=\frac{l^2}{z^2}\left(dz^2+h_{ij}(x)dx^idx^j\right)$$ near the boundary, i.e. as $z\to 0$. Let $\sigma_1,\...
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Holography vs edge modes in Chern-Simons theories

There are two facts I have heard about Chern-Simons theories They are dual to a WZW theory on the boundary (e.g. Relation between CS/WZW and AdS/CFT). They require a chiral theory on the boundary due ...
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Riemann tensor of $R\times \mathbb{S}_{d-1}$ metric

I would like to give a general expression to the Riemann tensor of a metric \begin{equation}\text{d}s^2=r^2(-\text{d}t^2+\text{d}\Omega^2_{d-1}).\end{equation} This metric is actually decomposed in $R\...
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Boundary conditions and holographic principle

The statement of the holographic principle seems very similar to specification of boundary conditions. A differential equation can be uniquely solved if one specifies the boundary conditions. Put ...
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Holographic Degrees of Freedom

What does it mean when one says "holographic degrees of freedom" in dS space? As Susskind does in his recent papers, the latest here (page 18).
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$AdS_2/CFT_1$ toy model of a magnetic monopole

Is it possible to create a holographic $AdS_2/CFT_1$ (2D/1D) toy model, which contains a magnetic monopole solution in the bulk? I would like to study certain behaviours on the boundary of a toy model ...
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Resources to start research on the SYK model, with AdS/CFT in mind

What are the main resources to learn the SYK model, focusing more on the AdS/CFT side rather than pure condensed matter theory, assuming a comfortable background in QFT, GR, and a bit of bosonic ...
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Understanding scalar bulk field in $\rm AdS$

I don't really understand the standard result in Holography and AdS/CFT that a source field can be expressed at \begin{equation} \phi_0 = \lim_{z \rightarrow 0} z^{\Delta -d} \phi(z,x) \end{equation} ...
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Is entropy of planets and others bodies proportional to the area?

Is entropy of planets and others bodies proportional to the area? If yes, how do I prove that? I know it works for a black hole but, and for others? If no, then the entropy is really proportional to ...
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What information is retained on the boundary of a black hole?

If an object were to be pulled into a black hole, I’ve been told its information would be retained on the boundary. But will that be just the information of the actual state it was in at the time? Or ...
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Simple question about the the holographic principle and the uncertainty principle

Given: The holographic principle as proposed by Susskind that states that the maximum amount of information stored in a 3D volume can be dictated by its surface area. Would not: The simple square-...
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Conservation of information [closed]

Given: The holographic principle as proposed by Susskind that states that the maximum amount of information stored in a 3D volume can be dictated by its surface area. Would not: The simple square-...
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Global and gauge symmetries in AdS/CFT correspondence

Based on the AdS/CFT dictionary, global symmetries of the boundary theory are related to the gauge symmetries in the bulk theory, but I could not find a relation between gauge symmetries of the ...
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Boundary in AdS / CFT correspondence

In AdS / CFT correspondence, the boundary with 2D conformal field theory refers to the observer who is at the center of the 3D AdS space. What will happen when the coordinates of the observer change? ...
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What is the purpose and meaning of taking the 't Hooft parameter to infinity?

I am following Hong Liu's MIT 8.821 String Theory and Holographic Duality lectures. He starts discussing the large-$N$ expansion in the context of a hermitian matrix model described by the Lagrangian $...
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What is cosmology/domain-wall correspondence?

Can someone give me an explanation for cosmology/domain-wall correspondence? I'm trying to understand holographic cosmology and this correspondence comes up a lot. It usually takes the form of ...
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von Neumann Entropy of Cauchy Slices

In the review "The entropy of Hawking radiation" written by Juan Maldacena and others, which can be found under the following link arXiv:2006.06872, on page 18, within the caption of Figure ...
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Difference between asymptotically AdS and asymptotically locally AdS spacetime

In the literature, there is often a distinction made between spacetimes that are asymptotically or asymptotically locally some other spacetime. For example, in holography, referring to some spaces ...
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Holographic dual of a star?

In AdS/CFT, we know that the AdS-Schwarzschild black hole is dual to a thermal state (or the thermofield double for the two-sided case). Suppose, instead of a black hole, we have a star in the bulk ...
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What are the top-down and bottom-up approaches to holography?

I think I understand the main idea of top-down vs bottom-up: when trying to describe some phenomena using a particular theory, in t-d one starts from the complete theory and puts constraints so that ...
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AdS/CFT with circle boundary

I am having a hard time understanding the holographic geometry of a CFT on a circle. Say we have a CFT on a circle of perimeter $L$. And it extends in the interior to a gravitational solution, say a ...
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Does the theory of holographic superconductors have any application?

I recently became aware of the relatively novel concept of holographic superconductors, and I was wondering whether anyone here has read something about experimental application of these theories. ...
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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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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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Background knowledge needed to read the book "Holographic Quantum Matter" by Hartnoll, Lucas, Sachdev?

I want to start going through the book "Holographic Quantum Matter" by Hartnoll, Lucas, Sachdev but it seems that my background in basic solid state physics and basic quantum field theory (1-...
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The emergence of space-time from entangled states

I recently read an article by Yasunori Nomura (https://arxiv.org/abs/1711.05263), in which he says that space-time is an emerging phenomenon. At the same time, space-time disappears when the ...
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What's the difference between burning a book and throwing it into a black hole [duplicate]

There is a big concern about loosing information inside a black hole. As far as I understand, the black hole is characterized classically by its mass, angular momentum and charge. Semi-classically, ...
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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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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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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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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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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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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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6 votes
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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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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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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? ...
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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 ...
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Is this a holographic principle?

The idea of the holographic principle is that all the data about what's inside a volume can be discribed by fields on it's boundary. But... isn't this just obvious calculus? e.g. take a field in ...
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Why does Wheeler's bag of gold solution contradict the holographic principle and a black hole does not?

The interior volumen of a typical black hole is greater than the one we expect when measuring its external area and calculating its volume: https://plus.maths.org/content/dont-judge-black-hole-its-...
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Does any asymptotically AdS classical metric have a dual state in the boundary CFT?

In large N strong coupling limit of AdS/CFT, We know that not every CFT state has a bulk dual described by a classical metric. What about the converse? Does any asymptotically AdS classical bulk ...
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Can the interior of a black hole be treated as a non-metrizable or non-Hausdorff space?

Subsets of topological spaces are usually assumed to be equipped with the subspace topology unless otherwise stated. https://en.wikipedia.org/wiki/Subspace_topology My question is regarding how ...
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Bit threads as noisy quantum channels

In literature on the holographic duality, recently a new way of looking at the Ryu-Takayanagi formula has been presented, where the minimal surface area has been replaced by the maximum number of &...
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What are the necessary conditions for a CFT to have a holographic dual? [duplicate]

The number of degrees of freedom of a CFT is given by its central charge $c$. From the bootstrap point of view, any CFT is characterized by the knowledge of its "CFT data", i.e. the scaling dimensions ...
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AdS/CFT phenomenology and realistic FRW model building

Are there any examples of realistic holography (likely as a de Sitter type Universe: as it approximates FRW / is an FRW solution without baryonic and dark matter). I don’t see why one wouldn’t be ...
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dS/CFT in a positive curvature universe

Since Maldacena ground breaking theoretical discovery, have there been any succesfull efforts to try to transpose the AdS/CFT duality to our universe (not an AdS)?
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