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1 vote
1 answer
52 views

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 ...
Lance's user avatar
  • 2,200
3 votes
0 answers
51 views

Replica wormholes in $AdS_5 \times S^5$ holography

I have a question about replica wormholes and the CFT ensembles in AdS/CFT. To make sure that my question isn't coming from a simple misunderstanding, I'll first sketch out my current understanding on ...
11zaq's user avatar
  • 1,014
3 votes
2 answers
181 views

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 ...
Bulldozer's user avatar
0 votes
0 answers
49 views

Energy conservation in string theory?

From what i understand string theory usually lives in a Minkowski Spacetime or AdS spacetime. In Minkowski Spacetime conservation of energy is usually very straightforward, is this also the case in ...
FACald's user avatar
  • 117
5 votes
1 answer
230 views

Why and how we study different limits in quantum gravity?

While I'm reading an article, I get confused by why and how we study different limits in quantum limit. In this paper, the author introduced four limits in D0-brane quantum mechanics: the DKPS (...
Errorbar's user avatar
  • 368
2 votes
0 answers
51 views

Relationship between CFT coupling constants and gravity parameters in the AdS/CFT correspondence

The AdS/CFT correspondence relates a string theory in AdS to quantum field theory. Various versions of this correspondence exist, and I want to know the map between parameters in the field theory and ...
user173611's user avatar
1 vote
2 answers
109 views

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 ...
Spectree's user avatar
  • 227
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
3 votes
0 answers
95 views

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" ...
Sanjana's user avatar
  • 785
0 votes
0 answers
42 views

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 ...
SX849's user avatar
  • 306
4 votes
1 answer
243 views

What does the WZ term in a WZW action means for string theory on group manifolds?

Let $G$ be a semi-simple Lie group. By Cartan's criterion its Killing form $B(X,Y)$ on $\frak g$ is non-degenerate. We can use it to define an inner product on the whole group by left translation $${\...
Gold's user avatar
  • 36.4k
1 vote
1 answer
47 views

Divergence of gauge kinetic coupling at the AdS boundary

This is the Einstein-Maxwell-Dilaton Gravity action: \begin{eqnarray*} S_{EM} = -\frac{1}{16 \pi G_5} \int \mathrm{d^5}x \sqrt{-g} \ [R - \frac{f(\phi)}{4}F_{MN}F^{MN} -\frac{1}{2}D_{M}\phi D^{M}\...
codebpr's user avatar
  • 193
3 votes
0 answers
58 views

Integrating out the 5th dimension in AdS/CFT

My main understanding of AdS/CFT is through the idea that the partition functions on the boundary and bulk are equivalent when expressed in terms of source fields $J_0$. On the boundary $J_0$ is a ...
octonion's user avatar
  • 8,815
0 votes
1 answer
88 views

Resources for studying holography for someone with a long gap in physics

for the past 3 years I haven't been reading up on physics and I'd now like to get back into it by learning about holography. I have done courses on QFT and String theory but some concepts I've ...
5 votes
0 answers
68 views

AdS-CFT on a torus

A gauge theory at finite volume and temperature on a space like $S^{n-1}\times S^1$ is supposed to be dual to a string theory on either $AdS_{n+1}$ or a Schwarzschild black hole in $AdS_{n+1}$, with a ...
octonion's user avatar
  • 8,815

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