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Does local physics depend on global topology?
Motivating Example
In standard treatments of AdS/CFT (MAGOO for example), one defines $\mathrm{AdS}_{p+2}$ as a particular embedded submanifold of $\mathbb R^{2,p+1}$ which gives it topology ...
6
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Flat Space Limit of AdS/CFT is S-Matrix Theory
In an answer to this question, Ron Maimon said:
The flat-space limit of AdS/CFT boundary theory is the S-matrix theory
of a flat space theory, so the result was the same--- the "boundary"
...
6
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Pohlmeyer reduction of string theory for flat and AdS spaces
The definition of Pohlmeyer invariants in flat-space (as per eq-2.16 in Urs Schreiber's DDF and Pohlmeyer invariants of (super)string) is the following:
$ Z^{\mu_1...\mu_N} (\mathcal{P}) = ...
5
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Master Field Large N limit
I would like to ask a question about the so-called ''Master Field''. As far as I understand, this represents a classical configuration in the large n limit (saddle point solution) but there is no ...
5
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159 views
Why Brown York stress tensor == dual field theory's energy momentum tensor?
From the AdS/CFT dictionary, how to argue that the Brown York stress tensor for a gravity
system near the boundary is exactly the same as the energy momentum tensor of the dual field theory?
In the ...
5
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118 views
Partition Functions in (A)dS/CFT
I'm trying to understand some aspects of dS/CFT, and I'm running into a little trouble. Any help would be much appreciated.
In arXix:1104.2621, Harlow and Stanford showed that the late-time ...
5
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592 views
Why is the AdS/CFT approach to superconductors rarely cited in condensed matter publications?
Let me put things into perspective by comparing with other applications of string theory. Nowadays review papers written by cosmologists about inflation models often discuss string theory scenarios ...
4
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165 views
A basic question on AdS/CFT
Previously I asked a question Question on dimensions of CFT operators (ref: MAGOO, hep-th/9905111) here and it was (correctly of course) answered by Motl. I realized I didn't understand a part of it ...
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136 views
An introductory resource for learning AdS space
Can someone please point me to introductory resources about the geometry of Anti DeSitter Space ? What are some examples of other spaces used in theoretical physics ?.I'm learning Differential ...
4
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83 views
Can quark-gluon plasma ever be close to an ideal gas of asymptotically free quarks?
The question inspired by an upcoming colloquim at UCB.
A naive interpretation of quark asymptotic freedom seems to imply that at high enough energies they should be weakly interacting. On the other ...
3
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34 views
How do Aharony et. al conclude that all scalar fields in the supergravity multiplet are periodic?
This question is for anyone who has read/gone through the paper above or knows anything about AdS/CFT. The paper can be found here.
On page 46, eq. (2.33), the author finds solutions to the scalar ...
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118 views
Chemical Potential in AdS/CFT
In AdS/CFT a charged Black hole is probably someway equivalent to introducing a chemical potential (Chemical potential) at the boundary theory. Is there a quick way to see how it is or how does this ...
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53 views
Group theory notation used in physics (AdS/CFT)
This in the context of the AdS/CFT correspondence. I am reading this review on AdS/CFT Aharony et. al. The abstract can be found here
Equation (2.50) of the above paper lists the $R$-symmetry groups ...
2
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42 views
Construction of the supergravity side explicitly in gauge/gravity dualities
Although the motivation of this question comes from the AdS/CFT correspondence, it actually is related to a more general principle of gauge/gravity duality. We know from Maldacena's conjecture that a ...
2
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98 views
Conformal symmetry of Navier-Stokes?
This question is in reference to the paper arXiv:0810.1545
Can someone help understand this scaling argument and the proof(?) that there is a conformal symmetry in Navier-Stoke's equation? (..am I ...
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100 views
Getting the AdS metric from maximally symmetric spaces
I am familiar with the way we derive the form of the FRW metric by just using the fact that we have a maximally symmetric space i.e the universe is homogeneous and isotropic in spatial coordinates. ...
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63 views
Boundaries where AdS/CFT complementarity applies
Usually when I read about AdS/CFT complementarity as a particular case of the Holographic principle, it suggests that physics evolution on a boundary has a map to physics evolution on the bulk.
But ...
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339 views
Correlators at large N and large N factorization
I am having this very basic problem. In e.g Maldacena's AdS/CFT review (0309246) (page 5), he has defined operators as $\mathcal{O}=N\,{\rm tr}[f(M)]$ for some matrices $M$ and got the connected ...
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Conserved currents in higher-spin theories
After the proposal of Maldacena (AdS/CFT), there have been numerous attempts to find out gravity duals of various kinds of CFT. Klebanov and Polyakov gave one such correspondence here. The claim is ...
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20 views
S-Wave for minimally coupled scalar field
This question is in reference to the paper here (Equation 3).The extremal 3-brane metic in $D=10$ can be written as:
\begin{equation*}
ds^2 = A^{-1/2}(-dt^2 +dx_1^2 +dx^2+ dx^3) + A^{1/2}(dr^2 +r^2 ...
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81 views
Examples of manifolds and fluxes coming from generalized complex geometry
The paramount object in generalized gomplex geometry is the Courant algebroid $TM\oplus T^\star M$, where the manifold $M$ is called background geometry I think (I am not sure). More generally this ...
