All Questions
Tagged with ads-cft holographic-principle
145
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BTZ black hole as a quotient of AdS space
I am trying to understand this paper 1 and trying to reproduce some calculations and had some questions about that. In section 3.2, page 12, eq. 3.9, the authors are writing normal geodesics of an ...
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1
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How do hyperbolic tessellations like {7,3} in Anti de-Sitter space relate to our intuition of 3D space (or 4D structure if you include time)?
I just ran into the AdS/CFT correspondence, as I am looking at various use-cases of hyperbolic tessellations, specifically related to the pentagrid and heptagrid as defined by Maurice Margenstern in ...
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Is there any proposed holographic/thermodynamic interpretation of gravitational time dilation?
In AdS/CFT and holography more generally, many proposals of various degrees of plausibility have been made linking apparently physical notions on the bulk side to more information-theoretic, ...
2
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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 ...
3
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2
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181
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Why does no one add Einstein-Hilbert term to CFT in AdS/CFT?
As I work through AdS/CFT exercises, it struck me that there seemed no one doing the following.
Suppose we have a holographic CFT. By some reeconstruction method, we can write CFT operators in terms ...
1
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2
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109
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Why $N\to \infty$ limit implies $g_s \to 0$ in holographic QCD?
One basic difficulty in QCD is that it does not contain a small dimensionless quantity that would allow for perturbative calculation of low-energy observables.
A remarkable feature of holographic ...
0
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15
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Why do we expect isometries of bulk side to be equivalent to symmetries of the CFT?
One can clearly see that the AdS bulk isometries form the $SO(d,2)$ symmetry of the $d$ dimensional CFT explicitly. Why does this occur: why don't the isometries of the spacetimes match up or the ...
3
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95
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Why is empty AdS identified with CFT vacuum and what do excited states correspond to?
I have a few questions regarding the AdS/CFT dictionary regarding the state-state map.
I have seen people identifying the empty AdS spacetime with a CFT vacuum.
What do they mean by "empty" ...
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37
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Unitarity in the 't Hooft limit
Consider a quantum gauge theory with a holographic dual at infinite $N$ and 't Hooft coupling, in which the gauge theory is described by classical (super)gravity.
If I initialize the system in a pure ...
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Quantum corrections in Holography
AdS/CFT stablish that there is some kind of correspondence between the ${\cal N}=4$ SYM theory and strings in $AdS_5\times S^5$ space-time. I know, for instance that 1/2 BPS operators like Tr$(\phi_1^...
4
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Confusion regarding the Susskind-Uglum conjecture
I have a very basic confusion regarding entropies in holography. In AdS/CFT, the Susskind-Uglum conjecture states that the generalized entropy of a bulk region, given by
$$S_{\text{gen}}(A) = \frac{\...
3
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54
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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 ...
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45
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Phase shift in holographic one-point function
I have a simple question about the response of an operator one-point function to an external source $\propto e^{-i\omega t}$ in AdS/CFT.
I consider a real scalar probe of mass $m$ in $AdS_{d+1}$ which ...
1
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1
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71
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Reverse AdS/CFT correspondence?
$\text{AdS}_{n}/\text{CFT}_{n-1}$ correspondence provides a dictionary for one-to-one mapping observables in bulk gravity to boundary conformal field theories. However, does the reverse correspondence ...
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Definitions of Thermodynamics and Holography
There are many differences between the laws of thermodynamics and the laws of black hole thermodynamics (BHT):
Zeroth Law: In thermodynamics, the Zeroth Law establishes the notion of thermal ...