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7
votes
1answer
164 views
Starting examples of Maldacena duality
I would like to know of what are the simplest/starting/basic examples that a student can work through to learn (and to convince oneself!) that AdS/CFT really works? I would like to know of the basic ...
2
votes
0answers
40 views
Construction of the supergravity side explicitly in gauge/gravity dualities
Although the motivation of this question comes from the AdS/CFT correspondence, it actually is related to a more general principle of gauge/gravity duality. We know from Maldacena's conjecture that a ...
5
votes
2answers
109 views
What is the exact relationship between on-shell amplitudes and off-shell correlators in AdS/CFT?
In this answer to a question, it is mentioned that in the AdS/CFT correspondence, on-shell amplitudes on the AdS side are related to off-shell correlators on the CFT side.
Can somebody explain this ...
2
votes
1answer
188 views
't Hooft limit of coupling fundamental fermions to Chern-Simons theory
This question is in reference to this paper: arXiv:1110.4386 [hep-th].
I would like to know what is the derivation or a reference to the proof of their crucial equation 2.3 (page 12).
In their ...
5
votes
1answer
60 views
AdS/RCFT examples?
RCFT's (rational conformal field theories) in two dimension are very well-studied, but it seems that there is no any gravity dual of such theories has been found. Is there example of the holographic ...
-3
votes
0answers
77 views
On the necessity of inflation [closed]
The relationship between the past and the current
Ads/CFT = AC/DC x K, where K = (D x D x s)/(C x F x T)
can be rewritten as
Ads/CFT = ADs/CFT
Question: Can the concept of cosmological inflation ...
1
vote
0answers
20 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 ...
2
votes
0answers
96 views
Conformal symmetry of Navier-Stokes?
This question is in reference to the paper arXiv:0810.1545
Can someone help understand this scaling argument and the proof(?) that there is a conformal symmetry in Navier-Stoke's equation? (..am I ...
6
votes
1answer
179 views
Gravity duals to Navier Stokes and interpretation of non linear contributions
I have been reading the paper The Incompressible Non-Relativistic Navier-Stokes Equation from Gravity. In it they state,
"An instability, if it occurs, must necessarily break a symmetry ...
...
12
votes
3answers
781 views
Has the black hole information loss paradox been settled?
This question was triggered by a comment of Peter Shor's (he is a skeptic, it seems.) I thought that the holographic principle and AdS/CFT dealt with that, and was enough for Hawking to give John ...
3
votes
0answers
113 views
Chemical Potential in AdS/CFT
In AdS/CFT a charged Black hole is probably someway equivalent to introducing a chemical potential (Chemical potential) at the boundary theory. Is there a quick way to see how it is or how does this ...
4
votes
0answers
158 views
A basic question on AdS/CFT
Previously I asked a question Question on dimensions of CFT operators (ref: MAGOO, hep-th/9905111) here and it was (correctly of course) answered by Motl. I realized I didn't understand a part of it ...
6
votes
0answers
141 views
Does local physics depend on global topology?
Motivating Example
In standard treatments of AdS/CFT (MAGOO for example), one defines $\mathrm{AdS}_{p+2}$ as a particular embedded submanifold of $\mathbb R^{2,p+1}$ which gives it topology ...
2
votes
1answer
109 views
Poincare Patch covers half of the hyperboloid of AdS
We start with the general case of $AdS_{p+2}$ i.e AdS space in $p+2$ dimension.
\begin{equation}
X_{0}^{2}+X_{p+2}^{2}-\sum_{i=1}^{p+1}X_{i}^{2} = R^2
\end{equation}
This space has an isometry ...
5
votes
1answer
75 views
Help with the understanding of boundary conditions on $AdS_3$
So I am trying to reproduce results in this article, precisely the 3rd chapter 'Virasoro algebra for AdS$_3$'. I have the metric in this form:
...
6
votes
1answer
273 views
Diffeomorphisms and boundary conditions
I am trying to find out how did the authors in this paper (arXiv:0809.4266) found out the general form of the diffeomorphism which preserve the boundary conditions in the same paper.
I found this ...
6
votes
0answers
64 views
Flat Space Limit of AdS/CFT is S-Matrix Theory
In an answer to this question, Ron Maimon said:
The flat-space limit of AdS/CFT boundary theory is the S-matrix theory
of a flat space theory, so the result was the same--- the "boundary"
...
4
votes
1answer
97 views
Boundary conditions for fields in Kerr/CFT
I am reading a paper by Guica et al. on Kerr/CFT correspondence (arXiv:0809.4266) and I'm not sure if I got this. They choose the boundary conditions, like a deviation of the full metric from the ...
8
votes
1answer
93 views
AdS/CFT at D = 3
AdS/CFT at D = 3 (on the AdS side) seems to have some special issues which I bundled into a single question
The CFT is 2D hence it has an infinite-dimensional group of symmetries (locally). The ...
5
votes
0answers
94 views
Master Field Large N limit
I would like to ask a question about the so-called ''Master Field''. As far as I understand, this represents a classical configuration in the large n limit (saddle point solution) but there is no ...
13
votes
2answers
128 views
Which CFTs have AdS/CFT duals?
The AdS/CFT correspondence states that string theory in an asymptotically anti-De Sitter spacetime can be exactly described as a CFT on the boundary of this spacetime.
Is the converse true? Does any ...
7
votes
2answers
320 views
What is the experimental status of AdS/CFT, AdS/QCD, AdS/CMT, etc?
What experiments have challenged or supported AdS/QCD, AdS/CMT, etc? What experiments should we look forward to do this?
5
votes
2answers
614 views
How much can AdS/CMT tell us?
I will begin my research on AdS/CMT, however I find AdS/CMT is only a phenomelogical method, so I want to know can AdS/CMT give some results the condensed matter physicists can not give, or even ...
13
votes
1answer
95 views
realization of: CFT generating fuction = AdS partition function
An important aspect of the AdS/CFT correspondence is the recipe to compute correlation functions of a boundary operator $\mathcal{O} $ in terms of the supergravity fields in the interior of the ...
3
votes
1answer
123 views
“Hard wall”/ “soft wall”
I have encountered those terms in various places. As I understand it, "soft wall" can correspond to a smooth cutoff of some spacetime, while "hard wall" can be a sharp one, which is be described in ...
5
votes
1answer
62 views
Choice and identification of vacuums in AdS/CFT
I know how we define a vacuum in flat space QFT and also in a curved space QFT. But, can somebody tell me how do the choice of vacuum state in (say) the CFT side of AdS/CFT changes the choice of ...
8
votes
1answer
101 views
Do thermodynamic quantities in CFT correspond to something different in AdS/CFT?
From what I've (hopefully) understood from the AdS/CFT correspondence, physical quantities have a dual version. For example, the position in the bulk is the scale size (in renormalization), and waves ...
6
votes
0answers
46 views
Pohlmeyer reduction of string theory for flat and AdS spaces
The definition of Pohlmeyer invariants in flat-space (as per eq-2.16 in Urs Schreiber's DDF and Pohlmeyer invariants of (super)string) is the following:
$ Z^{\mu_1...\mu_N} (\mathcal{P}) = ...
8
votes
1answer
174 views
Derivation of the basic equation for Witten diagrams
I could understand the derivation of the "bulk-to-boundary" propagators ($K$) for scalar fields in $AdS$ but the iterative definition of the "bulk-to-bulk" propagators is not clear to me.
On is ...
5
votes
0answers
115 views
Partition Functions in (A)dS/CFT
I'm trying to understand some aspects of dS/CFT, and I'm running into a little trouble. Any help would be much appreciated.
In arXix:1104.2621, Harlow and Stanford showed that the late-time ...
5
votes
1answer
33 views
Derivation of Eq. 7.12 in the review paper of Kraus
I'm reading "Lectures on black holes and the $AdS_3/CFT_2$ correspondence" by Kraus.
http://arxiv.org/abs/hep-th/0609074
I don't know how one can obtain Eq.7.12. My stupid question is how to obtain ...
4
votes
0answers
132 views
An introductory resource for learning AdS space
Can someone please point me to introductory resources about the geometry of Anti DeSitter Space ? What are some examples of other spaces used in theoretical physics ?.I'm learning Differential ...
2
votes
0answers
93 views
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. ...
4
votes
1answer
145 views
AdS to dS uplifting and its opposite
So as I understand it, localized structures in AdS can wick rotated to dS, the boundary has to be complixified as can be seen here. Also, uplifting is another technique that can be used to move from ...
12
votes
5answers
915 views
What's so special about AdS?
This question is coming from someone who has very little experience with M-Theory but is intrigued by the AdS/CFT correspondence and is beginning to study it.
Why is the gauge/gravity duality ...
1
vote
1answer
273 views
AdS space - Poincare Patch
How can I work out in detail the explicit coordinate transformation formulas needed to go from the "canonical" coordinates to the "Poincare patch"? I'm reading about AdS but the text takes the ...
14
votes
1answer
109 views
Do Gauge Theories (CFTs) Have Phase Transitions as the 't Hooft Coupling is Varied?
With an eye toward AdS/CFT, I'm wondering if large $N$ CFTs have a (quantum) phase transition as the 't Hooft coupling is varied. To be more specific -- if I look at correlation functions of ...
2
votes
2answers
245 views
AdS/CFT correspondence and M-theory
Three questions:
What can be some applications of AdS/CFT correspondence on M-theory? For example, would it be possible to represent 11-dimensional world using 10-dimensional surface?
It seems that ...
3
votes
1answer
136 views
Hilbert of quantum gravity: bulk $\otimes$ horizon
I was reading a paper dealing with the Hilbert of quantum gravity (or more precisely what should it look like considering what we know from QM and GR) ref: http://arxiv.org/abs/1205.2675 and the ...
10
votes
4answers
658 views
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 ...
1
vote
0answers
68 views
Good introductory books on AdS/CFT correspondence [duplicate]
Possible Duplicate:
Introduction to AdS/CFT
Since my question in a similar topic was deleted, I'll ask away and hope ppl won't come here telling me: this was already asked! :\
I have a ...
6
votes
2answers
177 views
Why is a stack of N D-branes equivalent to an extremal black brane?
A stack of N D-branes can have open strings ending on them. There is a U(N) brane gauge field, and r adjoint Higgs fields, with r equal to the number of transverse spatial dimensions. The eigenvalues ...
1
vote
0answers
81 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 ...
2
votes
0answers
63 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 ...
4
votes
1answer
271 views
Boundary conditions in AdS/CFT
This question is in reference to this very famous paper of Witten.
In general through the whole paper why is the author able to just focus on the scalar field propagating in the bulk and not need ...
7
votes
1answer
154 views
does AdS/CFT implies that there is an CFT in physical horizons?
so my rough understanding is that the AdS/CFT duality is some sort of isomorphism between an N dimensional gravitational theory and a N-1 dimensional conformal field theory on the boundary.
The ...
14
votes
8answers
2k views
Reversing gravitational decoherence
[Update: Thanks, everyone, for the wonderful replies! I learned something extremely interesting and relevant (namely, the basic way decoherence works in QFT), even though it wasn't what I thought I ...
6
votes
1answer
600 views
How does the holographic principle imply nonlocality?
For example in the discussions here and here there are comments by Ron Maimon:
Your complaint about locality would be more serious if holography
didn't show the way--- the CFT in AdS/CFT ...
5
votes
1answer
305 views
Taking the continuum limit of $U(N)$ gauge theories
I would like to draw your attention to appendix $C$ on page 38 of this paper.
The equation $C.2$ there seems to be evaluating the sum $\sum_R \chi _R (U^m)$ in equation 3.16 of this paper. I ...
3
votes
1answer
169 views
What does AdS/CFT have to say about quantum gravity in our world?
The Ads side of the AdS/CFT correspondence is a model of quantum gravity in 5 dimensional antidesitter space. What can it say about quantum gravity in our 4-spacetime dimensions? Or is it just a toy ...
