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Question 1

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Partial waves in QFT: Why only $l=0$ modes contribute for $\varphi^n$ like interactions, and for derivative interactions we also have $l \ne 0$?

Some contextIn these notes on AdS/CFT by Jared Kaplan (section 8.1) on pg. 70-71, he tries to derive anomalous dimensions from basic quantum mechanics and the idea is simple: We are doing ...

Nairit Sahoo

463

askedOct 18 at 18:30

Question 2

13votes

2answers

2kviews

Is it true that string theory is definitively wrong on account of it being a theory of an anti de Sitter space?

I'd like to preface this by mentioning that I come from an experimental astrophysics background, and am woefully ignorant of string theory. I apologize if I ask something particularly ignorant or ...

IntegerEuler

349

askedAug 21 at 4:16

Question 3

7votes

0answers

139views

Best introduction for ${\cal N}=4$ Super Yang-Mills

I would like to know nice introduction of ${\cal N}=4$ SYM.More specifically I would like to knowComputation of Wilson loop operator in AdS/CFT　from gravity side and why the string word sheet ...

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Matrix Element

Question 4

4votes

0answers

217views

What is $\lim_{z \rightarrow 0} \left( \frac{z}{\vec{x}^2 + z^2}\right)^{d/2}$? In particular the potential contact term?

It is known that$$\lim_{z \rightarrow 0} \left( \frac{z}{\vec{x}^2 + z^2}\right)^{\Delta} = z^{d-\Delta} \frac{\pi^{d/2}\Gamma(\Delta - d/2)}{\Gamma(\Delta)}\delta^{(d)}(\vec{x}) + z^\Delta \frac{1}{(...

NoName

103

askedJul 24 at 14:32

Question 5

4votes

0answers

126views

AdS/CFT correspondence -- semi-classical bulk for CFT states

How to construct a semi-classical bulk dual for a given CFT state in the context of AdS/CFT correspondence? In particular, I am looking for an explanation/proof of the statement in https://arxiv.org/...

physmath17

303

askedMay 22 at 7:41

Question 6

3votes

1answer

265views

Magnetic dual of M2 branes and M5 branes? [closed]

Why do we say: the M2 branes and M branes are magnetic dual?

Nguyen Hoang Vu

51

askedApr 21 at 19:55

Question 7

3votes

1answer

189views

Implications of Reeh–Schlieder theorem for gravity

The Reeh-Schlieder theorem shows entanglement always happen in relativistic quantum theories even for vacuum states.The assumption it takes areexistence of field operators and vacuum state...

Alex Sheldon

55

askedApr 19 at 2:28

Question 8

2votes

1answer

170views

Computing position two-point function and Fourier transform of $p^4 \ln p$

I am computing a two-point correlator in 4D Euclidean space and I am struggling with one particular term. I have found that in momentum space my correlator goes as$$\langle \mathcal{O}(p)\mathcal{O}(...

Geigercounter

688

askedApr 13 at 14:54

Question 9

2votes

1answer

82views

Classical Particles in AdS spacetime By Embedding Formalism

In sec 3.1 of Kaplan's lecture note of AdS/CFT, he used embedding formalism to analyze the dynamics. The action in $d+2$ spacetime is:$$S=\int{d\tau\,\left(\frac{1}{2\alpha}(\dot{X}^{A}\dot{X}_{A}+\...

Ting-Kai Hsu

986

askedMar 23 at 3:41

Question 10

1vote

1answer

177views

Relation between chordal distance and geodesic distance

The relation between the chordal distance, $u$ and the geodesic distance $d$ is given in D'Hoker and Freedman at the bottom of page 53. They say,The chordal distance, is given by $u=\zeta^{-1}-1$. ...

Gaurav Katoch

189

askedMar 11 at 9:37

Question 11

0votes

0answers

68views

Quantum correlations between two Hawking pairs

I will use notations in equations (1) and (4) in the paper: https://arxiv.org/abs/2210.08306. We have the CFT state $\Psi$ of a black hole with mass M that is maximally entangled with some auxiliary ...

ASA

131

askedFeb 17 at 18:21

Question 12

1vote

0answers

79views

$R$-symmetry in $\mathcal{N}=2$ preserving mass terms added to $\mathcal{N}=4$ super Yang Mills

I've been reading about $\mathcal{N}=2$ preserving deformations of $\mathcal{N}=4$ supersymmetric Yang-Mills, see for example https://arxiv.org/abs/hep-th/0003136. I understand that when we add an $\...

finelytunedel

131

askedFeb 15 at 4:42

Question 13

2votes

1answer

212views

Bulk isometries in AdS/CFT

In AdS/CFT it is well known that gauge symmetries of the bulk correspond to global symmetry operators in CFT.My question: What do global symmetries (isometries) of the bulk correspond to?To make the ...

user8315

21

askedFeb 11 at 9:07

Question 14

1vote

0answers

78views

How hyperbolic tessellations such as $\{7,3\}$ are used in MERA regarding quantum entanglement in AdS₃/CFT₂?

This question by necessity must outline my basic understanding of a few areas of AdS/CFT, MERA, and hyperbolic tessellations like $\{7,3\}$, so I can ask my main question about the practical need/use/...

Lance Pollard

2,314

askedFeb 4 at 22:26

Question 15

2votes

0answers

70views

How does the large-$𝑁$ limit affect the interpretation of AdS/CFT in terms of emergent gravity?

I have been reading about the AdS/CFT correspondence, particularly how the large-$𝑁$ limit of gauge theories plays a crucial role in its formulation. From what I understand, in the limit$𝑁 → ∞$, ...

Lorenzo Castagno

398

askedFeb 4 at 10:12

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Questions tagged [ads-cft]

Partial waves in QFT: Why only $l=0$ modes contribute for $\varphi^n$ like interactions, and for derivative interactions we also have $l \ne 0$?

Is it true that string theory is definitively wrong on account of it being a theory of an anti de Sitter space?

Best introduction for ${\cal N}=4$ Super Yang-Mills

What is $\lim_{z \rightarrow 0} \left( \frac{z}{\vec{x}^2 + z^2}\right)^{d/2}$? In particular the potential contact term?

AdS/CFT correspondence -- semi-classical bulk for CFT states

Magnetic dual of M2 branes and M5 branes? [closed]

Implications of Reeh–Schlieder theorem for gravity

Computing position two-point function and Fourier transform of $p^4 \ln p$

Classical Particles in AdS spacetime By Embedding Formalism

Relation between chordal distance and geodesic distance

Quantum correlations between two Hawking pairs

$R$-symmetry in $\mathcal{N}=2$ preserving mass terms added to $\mathcal{N}=4$ super Yang Mills

Bulk isometries in AdS/CFT

How hyperbolic tessellations such as $\{7,3\}$ are used in MERA regarding quantum entanglement in AdS₃/CFT₂?

How does the large-$𝑁$ limit affect the interpretation of AdS/CFT in terms of emergent gravity?

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