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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Getting the AdS metric from maximally symmetric spaces

I am familiar with the way we derive the form of the FRW metric by just using the fact that we have a maximally symmetric space i.e the universe is homogeneous and isotropic in spatial coordinates. ...
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85 views

Boundaries where AdS/CFT complementarity applies

Usually when I read about AdS/CFT complementarity as a particular case of the Holographic principle, it suggests that physics evolution on a boundary has a map to physics evolution on the bulk. But ...
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How different Rindler wedges are placed on the AdS$_2$ spacetime via $SL(2)$ isometries?

I am currently reading the paper https://arxiv.org/abs/1606.01857. In it they state that there are different choices for placing different Rindler wedges on the AdS$_2$ Poincaré patch via $SL(2)$ ...
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24 views

Can we have entanglement entropy in the SYK model?

I know that defining of entanglement entropy and Ryu-Takayanagi formula in the AdS/CFT, can we define these in the SYK model?
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46 views

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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63 views

What does it mean to have different CFTs in AdS/CFT?

1) In AdS/CFT, what does a different CFT mean in gravity? 2) Also, if the background metric is curved in CFT, how does it appear in the corresponding gravity side? In the gauge/gravity duality (a.k.a....
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29 views

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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60 views

How to compute a state exhibiting a given entanglement entropy?

We`ve known how to calculate entanglement entropy from a given ground state: make an entanglement cut (that divide system into subsystems $A$ and $B$), take the partial trace and $$S=-\operatorname{Tr}...
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31 views

Do large $N$ free fermion or WZW theories have a holographic dual in $AdS_3/CFT_2$?

I was wondering if for $N$ free Dirac fermions (or equivalently by bosonization, $N$ free bosons or an $SU(N)_1$ WZW theory plus an extra boson) have a holographic dual description via $AdS_3/CFT_2$? ...
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24 views

Is the leading order contribution to the double-trace operator anomalous dimension always $O(1/N^2)$?

Is the leading order contribution to the double-trace operator anomalous dimension always $O(1/N^2)$ ? I noticed that the double-trace contribution in Polchinski's paper hep-th/0907.0151 gets an ...
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48 views

Different duality-correlations in holographic principle?

I found an interesting article "Surface/State Correspondence as a Generalized Holography" (https://arxiv.org/abs/1503.03542) If I understood it well, the authors proposed this model to generalize the ...
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31 views

Minimal area for circular Wilson loops in these coordinates

In all references you can see that the Poincare coordinates are used to get the minimal area for the circular wilson loop. I want to use the metric that is used also for the D3-brane (e.g. see ...
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48 views

How to solve the equation of motion of the minimal surface for spherical subsystems in AdS?

In order to compute the holographic entanglement entropy for a spherical subsystem in AdS using the Ryu-Takayanagi conjecture, one needs to solve the following second order nonlinear differential ...
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36 views

Is intrinsic curvature of an embedded surface a covariant quantity from the embedding space point of view?

Suppose I have a $(d+1)$-dimensional manifold with metric $g_{\mu\nu}$. In it I have an embedded codimension-$1$ surface, $\Gamma$, with induced metric $\gamma_{ab}$. Is Ricci scalar defined in terms ...
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29 views

Resources on Gubeser-Klebanov-Polyakov (GKP) strings and N=4 Super-Yang Mills dual description

*I have learned recently that the Gubeser-Klebanov-Polyakov string / folded string in AdS3 (if I recall correctly, and I assume with some additional virasoro constraints, etc) is dual to large-spin ...
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1answer
103 views

Gravity Hamiltonian in $AdS$

Consider the global $AdS_{d+1}$ metric given by $$ds^2 = \frac{1}{cos^2 \rho}[-dt^2 + d\rho^2 + sin^2 \rho d\Omega_{d-1}^2]$$ Now we follow the statements as made in Page 4 of this paper. Here one ...
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48 views

s-wave radial equation for minimally coupled scalar field

I am trying to work through the calculations from the following article. I need to find the s-wave radial wave equation for a minimally coupled scalar field, given by $\partial_{\mu}( \sqrt {-g} g^{\...
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86 views

How is encoded the information on the surface of the volume' s boundary?

In the context of the holographic principle, who states that the entropy of ordinary mass (not just black holes) is also proportional to surface area and not volume;that volume itself is illusory ...
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1answer
85 views

Form of Light-Cone in pure $AdS_3$

There is a picture in the article of Harlow which (in particular) represents light cone in $AdS_3$. Note that point X has nonzero radial coordinate. If point X has zero radial coordinate it is quite ...
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114 views

Gauge invariant operators in AdS/CFT

I am working on the AdS/CFT correspondence and I am on the field-operator map. I have found in several textbooks the following statement, which refers to the operators of CFT: "The field theory ...
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64 views

Mixed states in field theories and their AdS duals

I am trying to self study aspects of AdS-CFT, particularly the implication of the Ryu-Takayanagi entanglement entropy formula. I have been thinking about the following question and it would be a great ...
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140 views

AdS/CFT at small and large central charge

We know that the AdS/CFT duality is a valid correspondence for large central charge (in the semi-classical limit). If this duality is valid for small central charge (in the quantum regime) is unclear. ...
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105 views

How is AdS / CFT a “successful realisation” of the holographic principle?

According to the Wikipedia articles of both AdS/CFT correspondence and the Holographic principle state that the former was a 'successful realisation of the latter. Does that mean that the Holographic ...
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18 views

Near Horizon Vector Field

I am studying this paper https://arxiv.org/pdf/0811.4393.pdf. I find a probem to find the near horizon form of the vector (2.17) and electromagnetic (2.18) field. I have tried to use the near horizon ...
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259 views

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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49 views

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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137 views

Central Charge of large $N$ Gauge theory in 't Hooft limit

It is well known that large N gauge theory in t'Hooft limit has central charge ~ $N^2$ I want to convince myself in this by considering simple example of: 1 flavor(meaning that we have only one ...
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132 views

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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46 views

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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238 views

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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109 views

What is known about the physics of Planckbrane (another brane) in Randall–Sundrum model?

Randall–Sundrum model imagines that our universe is a five-dimensional anti-de Sitter space and the elementary particles except for the graviton are localized on a (3 + 1)-dimensional brane or branes. ...
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195 views

Why is it that the conformal anomaly has to be scale invariant?

When reading about conformal anomalies, such as in this paper it is often stated that the anomaly (ie. $ \delta W[g]/ \delta \sigma$ where $ W[g]$ is the quantum effective action for gravity) must be ...
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168 views

Naked Singularity and AdS/CFT

I am a bit confused about the status of naked singularities that appear in black hole physics and more so in the context of AdS/CFT. Here is what I know about this in brief. For a charged Reissner-...
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167 views

Solution of Dirichlet problem for scalar field in Ads

I am reading "Anti de Sitter space and holography" by Witten. In this article he derives the two-point function for CFT from theADS/CFT correspondence for a massless scalar field living in the bulk. ...
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180 views

Can a particle tunnel from inside a black hole?

Event horizon isn’t special from GTR standpoint, and at least in AdS/CFT correspondence gravity can be “removed” from consideration entirely. So can a particle whose wave function is completely inside ...
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71 views

Holographic dual of pure-classical systems

There are classical systems (eg. see Sections VII and VIII of Kogut's review) that shares many of the properties of a pure-gauge SU(N) quantum theory including factorization and mass-gap, but with ...
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98 views

What is the difference between Reissner-Nordstrom (RN) black hole and dyonic black hole?

A RN black hole is a black hole with electric charge, and a dyonic black hole with both electric charge and magnetic charge. My Questions: Is the above statement correct? Is the charges the unique ...
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144 views

Does Cauchy horizons in AdS have dual picture in the dual Cft?

The AdS/Cft correspondance has kindle interest in anti-de Sitter and asymptotically AdS spacetimes which are non globally hyperbolic. That means Cauchy horizon forms in these spacetimes. Moreover, ...
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Supersymmetries of the type IIB D3-brane action

The following query is based on a reading of section 2.2 of a paper by Graña and Polchinski. The idea is to begin with the D3 brane action of the form $$ ds^2 = Z^{-1/2}\eta_{\mu\nu}dx^\mu dx^\nu + Z^...
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238 views

About parametrizing quadratic fluctuations in the metric about $AdS_2 \times S^2$

I am referring to the contents of page 20-23 of the paper, http://arxiv.org/abs/1108.3842.pdf Equation 4.5 seems to suggest that one wants to restrict the metric fluctuations $h$ to a subset such ...
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91 views

Large-N critical NLSM (equation 13.115 of Peskin and Schroeder)

Any opinions if the equation 13.115 of Peskin and Schroeder is true on arbitrary manifolds in arbitrary dimensions for the same Lagrangian? I a priori see no problem. The point I also want to ask is -...
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158 views

Questions about Type HE Matrix String Theory

I was reading the heterotic string section of this thesis desertation by Luboš Motl, since I think I now understand the Type IIA Matrix String Theory. The only thing I knew about Type HE Matrix ...
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109 views

one loop correlator in ads cft

Is there any example of explicit one loop computation for Witten diagrams? It seems like it will be hard to compute for even for a simple $\phi^4$ theory in the bulk.
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70 views

S-Wave for minimally coupled scalar field

This question is in reference to the paper here (Equation 3).The extremal 3-brane metic in $D=10$ can be written as: \begin{equation*} ds^2 = A^{-1/2}(-dt^2 +dx_1^2 +dx^2+ dx^3) + A^{1/2}(dr^2 +r^2 d\...
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114 views

Examples of manifolds and fluxes coming from generalized complex geometry

The paramount object in generalized gomplex geometry is the Courant algebroid $TM\oplus T^\star M$, where the manifold $M$ is called background geometry I think (I am not sure). More generally this ...
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15 views

Why does a flat entanglement spectrum contradict to the holographic CFT vacuum?

As stated in the introduction of 1806.05007 (https://arxiv.org/pdf/1806.05007.pdf), a certain tensor network called the holographic code has a flat entanglement spectrum (ES), i.e. the reduced density ...
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14 views

Results from the conformal boundary of Ads_5 in the coordinates

I am trying to show (if it is correct) that when one in Poincare coordinates uses conformal compactification in the AdS metric so that he can then go to the (conformal boundary), if this re-scaling ...
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15 views

Why does black holes have hydrodynamic properties? (in Holographic sense ) We know it has thermodynamic properties, but how are these connected?

We know black holes do have thermodynamic properties like temperature, entropy.How does one justify black holes have hydrodynamic properties?
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43 views

On the Computation of Gibbons-Hawking-York Boundary Term

The Gibbons-Hawking-York (GHY) boundary term is given by $$S_{GH}=\frac{1}{8 \pi G}\int_{\partial M}\sqrt{|\gamma|}K,$$ where $\gamma_{ij}$ is the boundary induced metric, and $K$ is the trace of the ...
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46 views

How can a non-expert think of Black Hole microstates?

For someone familiar with basic QFT and GR and semi-classical physics but doesn't know string theory nor AdS/CFT is there some intuitive way to think about what the microstate of a black hole means? ...