Skip to main content

All Questions

0 votes
0 answers
48 views

Conformal compactification of AdS spacetime

In this paper https://homes.psd.uchicago.edu/~ejmartin/course/JournalClub/Basic_AdS-CFT_JournalClub.pdf, page 2, the authors state "The boundary of the conformal compactified $AdS_{d+1}$ is ...
Βασίλης Γερμανίδης's user avatar
4 votes
0 answers
187 views

How does the bulk-to-boundary propagator transform under diffeomorphisms?

In AdS/CFT, the bulk-to-bulk propagator can be obtained as the limit of the bulk-to-bulk propagator with one point approaching the boundary. For example in the scalar case \begin{equation} K_{\Delta}(...
SouthernLion's user avatar
2 votes
0 answers
115 views

Gravity dual of the string world-sheet CFT?

The AdS/CFT correspondence conjectures a duality between a $(D+1)$ dimensional gravity theory in asymptotic AdS spacetime with a $D$ dimensional conformal field theory. Is there any sense in asking ...
Michael C.'s user avatar
2 votes
0 answers
84 views

AdS compactification of Minkowski space

I am trying to understand the paper "Anti De Sitter Space And Holography" by E. Witten (cf. https://arxiv.org/abs/hep-th/9802150). One of the first point it makes is that "Minkowski ...
Ignacio Garrido González's user avatar
3 votes
0 answers
54 views

Does AdS/CFT correspondence apply to entire AdS space or those covered by Poincare patch?

I am getting confused as I study the AdS/CFT correspondence, so I ask this question. CFT is given on the conformal boundary of AdS, which can be derived from Poincare coordinate patch to AdS. Would ...
Neijal Kanderbalt's user avatar
6 votes
2 answers
354 views

Getting confused with different metrics for AdS black hole

I'm getting confused with the convention for the metric that describes a (planar) AdS black hole in $1+d$ dimensions ($1$ timelike, $d$ spacelike). The most common definition seems to be the one as in ...
freddieknets's user avatar
2 votes
0 answers
82 views

AdS, nearly AdS, and asymptotically AdS

Recently, I took a seminar about JT gravity, and the speaker said about exact Ads, nearly Ads, and asymptotically Ads. I want to know the difference(i.e., the form of metric? or the conditions on ...
phy_math's user avatar
  • 3,622
1 vote
1 answer
94 views

Naive questions on AdS/CFT dictionary and alternatives?

I'm starting to become curious about AdS/CFT since hearing that condensed matter theorists use it as a 'dictionary' to find gravity duals of things from condensed matter physics. How exactly does this ...
jboy's user avatar
  • 595
0 votes
0 answers
94 views

In AdS/CFT, do we have Weyl-invariance or only conformal invariance?

The asymptotic symmetry group of $AdS_{d+1}$ is $SO(d,2)$, which just so happens to be the conformal group of $d$-dimensional Minkowski spacetime. Therefore the boundary dual, if it exists, has ...
nodumbquestions's user avatar
4 votes
1 answer
350 views

What is the symmetry group of asymptotically AdS spacetime?

The isometry group of global $AdS_{d+1}$ is well-known to be $SO(d,2)$. I have a suspicion that when the spacetime is asymptotically AdS, with dynamical gravity in the bulk, the symmetry group gets ...
nodumbquestions's user avatar
1 vote
0 answers
132 views

Stress- energy tensor in AdS

I´m trying to reproduce some of the equations from the paper -- A Stress Tensor For Anti-de Sitter Gravity, by Balasubramanian and Kraus, https://arxiv.org/abs/hep-th/9902121 -- and I keep getting one ...
gravity_noob's user avatar
2 votes
0 answers
112 views

BTZ black hole and thermal $AdS_3$

Why is Euclidean $BTZ$ black hole at temperature $T$, equivalent to thermal $AdS_3$ at temperature $1/T$? I'm not really familiar with those objects, but I have used the modular transformation $$\tau_{...
Display name's user avatar
1 vote
0 answers
86 views

Euclidean BTZ black hole dual to thermal CFT state

I'm studying $\textbf{Holographic Derivation of Entanglement Entropy from AdS/CFT}$ by Shinsei Ryu and Tadashi Takayanagi. I'm trying to compute the entanglement entropy in $CFT_2/AdS_3$ at finite ...
Display name's user avatar
1 vote
1 answer
140 views

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 $(n-1)$ ...
George Fanaras's user avatar
0 votes
1 answer
248 views

How to derive the AdS spacetime metric

So I have been working on AdS/CFT for a while now and realized that I have never actually seen the derivation for the metric. In every literature, introductory or advanced, they just give you the AdS ...
Johan Hansen's user avatar

15 30 50 per page