All Questions
Tagged with ads-cft boundary-conditions
15
questions
4
votes
1
answer
201
views
Boundary conditions and field quantization in AdS
While studying the AdS/CFT correspondence, one encounters very early the example of a scalar field in AdS. The general solution to the Klein-Gordon equation in the limit $z\rightarrow 0$ may be ...
0
votes
0
answers
34
views
How is every D-brane dual to 2 others?
For instance, A D3 brane is T dual to both a D2 and D4. I understand the idea that Type A and B theories are T dual to one another, but I don't understand how you get 2 different dual descriptions ...
2
votes
1
answer
288
views
Boundary conditions for bulk partition function in AdS/CFT
In AdS/CFT, we are told that the bulk and boundary functions are equal:
$$ \tag{1}Z_{bulk}[J]= Z_{CFT}[J], $$
where on the left hand side of the equality, $J$ is interpreted as a boundary condition at ...
1
vote
0
answers
30
views
How to apply the boundary condition in the derivation of the 2-point function in MAGOO?
In the famous AdS/CFT review, in section 3.3.1 the authors give the two-point function of the operator $\mathcal{O}$ for which $\phi_0$ is a source, we write
$$
\langle\mathcal{O}(p)\mathcal{O}(q)\...
2
votes
1
answer
271
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 ...
2
votes
0
answers
61
views
Would Bekenstein bound disappear in some holographic models?
In Holographic principle models there's a limit to the information that the system can store known as the "Bekenstein bound".
In physics, the Bekenstein bound is an upper limit on the entropy S, or ...
2
votes
1
answer
184
views
Boundary conditions due to local and global diffeomorphisms
Consider the following extract from page 2 of this paper.
$AdS_3$ is the $SL(2, \mathbb{R})$ group manifold and accordingly has an
$SL(2, \mathbb{R})_{L} \times SL(2, \mathbb{R})_{R}$ isometry ...
3
votes
0
answers
83
views
Shooting Method for coefficient matching in holography
Usually when one is attempting to solve the equations of motion of a bulk field in the AdS/CFT framework the main goal is to understand if a corresponding boundary operator aqcuires a VEV (commonly ...
7
votes
2
answers
228
views
Why are holomorphic boundary CFT2 primary operators massless in the AdS3 bulk?
I saw a claim in this paper that holomorphic boundary CFT$_2$ primary operators correspond to massless states in the AdS$_3$ bulk. Specifically,
As always, we simplify the situation by assuming the ...
15
votes
1
answer
1k
views
Asymptotic symmetry algebra
So after a lot of research, and tons and tons of papers that I've went through, I finally have some idea how to solve the equations that will give me candidates for the asymptotic symmetry group for ...
2
votes
1
answer
147
views
Getting diffeomorphisms from boundary conditions in $AdS_3$
As usual I'm asking a question about boundary conditions for AdS${}_3$, based on the thesis by Porfyriadis.
He is solving equations $\mathcal{L}_\xi g_{\mu\nu}$ for AdS${}_3$ metric, with a given ...
2
votes
1
answer
113
views
Finding superpotentials and central charges in $AdS_3$
In text "Covariant theory of asymptotic symmetries, conservation laws and central charges" is given an example of finding central charges and superpotential (among other things).
I am interested in $...
6
votes
1
answer
279
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:
$$ds^2=-\left(1+\frac{r^2}{l^2}\right)dt^2+\left(1+\frac{...
6
votes
1
answer
754
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 ...
5
votes
1
answer
240
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 ...