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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 ...
SouthernLion's user avatar
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 ...
Burak Guner's user avatar
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 ...
nodumbquestions's user avatar
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)\...
twisted manifold's user avatar
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 ...
Cstruct's user avatar
  • 31
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 ...
user avatar
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 ...
nightmarish's user avatar
  • 3,203
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 ...
Cala's user avatar
  • 437
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 ...
wittensdog's user avatar
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 ...
dingo_d's user avatar
  • 1,843
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 ...
dingo_d's user avatar
  • 1,843
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 $...
dingo_d's user avatar
  • 1,843
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{...
dingo_d's user avatar
  • 1,843
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 ...
dingo_d's user avatar
  • 1,843
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 ...
dingo_d's user avatar
  • 1,843