# Tagged Questions

AdS/CFT is a special case of the holographic principle. It states that a quantum gravitating theory in Anti-de-Sitter (AdS) space is exactly equivalent to the gauge theory/Conformal Field Theory (CFT) on its boundary.

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### Witten diagrams and the precise statement of the AdS/CFT correspondence

I'm reading Witten's early paper on AdS/CFT. My understanding is that, on the gravity side, you vary the action to find the full, classical equations of motion, solve them subject to arbitrary ...
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### What is the meaning of weakly coupled in gravity theories?

In a Colloquium lecture of Juan Maldecena, He states that weak coupling states the theory is hard to change the metric. And tolds that weakly coupled system requires a lot of fields. Can you give ...
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### What are “local degrees of freedom in gravity”, and why do they lead to fixed energy densities?

I am reading Jan de Boer's review of the AdS/CFT correspondence and I quote from end of page 1, where he is talking about equivalence of $(d+1)$-dimensional gravity to $d$-dimensional field theory “...
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### Norm of Dilatation operator [closed]

The dilatation operator is given by $$D=x^{a}\frac{\partial}{\partial x^{a}}+z\frac{\partial}{\partial z}$$ How the norm can be $$D^{2}=\frac{L^{2}}{z^{2}}(\eta_{\mu\nu}x^{\mu}x^{\nu}+z^{2})$$ where ...
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### Dual of the Identity operator (AdS/CFT)

We know that in a CFT the spectrum of gauge invariant operators must contain an Identity operator (for the operator algebra to close). For those CFTs that admit a holographic dual what does the ...
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### Brane polarisation (Myers Effect/Polchinski-Strassler/KPV)

I have a question about brane polarisation. In the most famous cases I know of--the original giant D2 brane of Myers, the Polchinski-Strassler resolution of the $\mathcal{N}=1^*$ IR singularity, and ...
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### The notion of confinement in AdS/CFT

In the frame of the AdS/CFT correspondence, how do I recognize in the SUGRA part that the dual field theory will exhibit confinement. I mean, can I see it in the metric? or should I compute a field to ...
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### Singleton representations of $SO(2, d)$?

What is meant by "singleton" representations of $SO(2, d)$ and 'small representations' in Witten's paper, Anti de Sitter Space and Holography?