All Questions
Tagged with ads-cft general-relativity
74
questions
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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 ...
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35
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Partial integration of the Gibbons-Hawking-York boundary term
In https://arxiv.org/abs/1402.6334 on page 16 in their Eq. (5.21), they go from the equation
$$S_G+S_\chi\approx\int d^2x\sqrt{-g}XR+\int dt\sqrt{-\gamma}XK$$
to the equation
$$=\int d^2x \sqrt{-g}\...
- 109
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36
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AdS$_3$ Geodesics' Length in ambient space as done in "Aspects of Holographic Entanglement Entropy"
I have been following the mentioned paper ("Aspects of Holographic Entanglement Entropy" hep-th/0605073 by Shinsei Ryu and Tadashi Takayanagi), trying to get into AdS/CFT. In section 6.2 ...
- 21
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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}(...
- 98
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84
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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 ...
1
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25
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Do all small-large AdS black hole phase transitions have swallow tail like behaviour for the Free Energy v/s Temperature plot?
In the literature the swallow tail like behaviour is prominently seen for small-large AdS black hole phase transition for the Free Energy vs Temperature Plot. Recently I was trying to reproduce the ...
- 193
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Reparameterization invariance in gravity
It's often said that gravity/general relativity has 'reparameterization invariance.' In particular, this comes up when people talk about the duality between the Sachdev-Ye-Kitaev (SYK) model and ...
- 2,504
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51
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Equation of motion of scalar field [closed]
I have the metric of the five dimensional Schwarzschild AdS space with metric $$ds^2=-\frac{L^2}{z^2}(1-\frac{z^4}{z_H^4})dt^2+\frac{L^2}{z^2}\frac{1}{(1-\frac{z^4}{z_H^4})}dz^2+\frac{L^2}{z^2}(dx_1^2+...
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ODE singular point
I want to study the equation of motion of a scalar field in the Schwarzschild $AdS_5$ black hole
$$\frac{\hat{\omega}^2\phi(\hat{z})}{(-1+\hat{z}^4)^2}+\frac{(3+\hat{z}^4)\phi(\hat{z})}{\hat{z}(-1+\...
- 47
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42
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Lorentz transformation relations (in AdS space) between coordinates of observers derived from the generators of symmetries in the AdS space
I have a question related to the Anti de Sitter Space in General Relativity. Please help me understand it:
In Anti de Sitter (AdS) spacetime, the symmetry generator operators are associated with ...
- 306
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50
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Hawking Temperature for a hairy BTZ Black Hole
The metric of a hairy Black Hole is given by:
$$ds^2 = \frac{L^2}{z^2}\biggl(-g(z) dt^2 + \frac{e^{2 A(z)}}{g(z)} dz^2 +d\varphi^2\biggr), $$
where $L$ is the AdS length taken to be $1$,$A(z)$ is the ...
- 193
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82
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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 ...
- 3,622
1
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1
answer
157
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Gravitational backreaction in AdS/CFT
When we add a scalar field into AdS space time, under which limit can we ignore the gravitational back reaction? In the case of massless scalar, can we totally ignore the backreation to the background ...
- 547
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57
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Can a saddle point corresponding to black hole horizon act as a source of chaos?
I was going through this paper where on page 5 they argue that in the given Poincare section:
Most of the orbits form regular tori, while we can also see that some tori near the saddle point of the ...
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350
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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 ...
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