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1 vote
0 answers
33 views

Why Is There No Oscillator Representation for Operators in Planar ${\cal N}=4$ SYM Theory?

I'm studying the planar ${\cal N}=4$ Super Yang-Mills (SYM) theory and I'm curious about the representations of its operators, specifically the Hamiltonian and the dilatation operator. In many quantum ...
iron's user avatar
  • 43
3 votes
1 answer
129 views

What are single-, double- and multi-trace operators in AdS/CFT?

Can someone explain what are single-, double- and multi-trace operators are in AdS/CFT? I am a senior undergrad and only recently started studying AdS/CFT from TASI lectures and could not make much ...
QFTheorist's user avatar
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
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
1 vote
0 answers
44 views

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^...
BVquantization's user avatar
1 vote
1 answer
71 views

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 ...
user avatar
1 vote
0 answers
157 views

OPE Coefficients in Holography

I am having trouble reproducing a calculation from the paper "Holography from Conformal Field Theory". In a 2d CFT, consider an operator $\mathcal{O}$ in mean field theory (MFT) with ...
Stressed Tensor's user avatar
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
0 votes
0 answers
30 views

What do bulk Fourier modes look like in the boundary theory?

Suppose we have a bulk theory that has some holographic CFT dual at the boundary. Suppose we construct an operator that 'looks like' (whatever that needs to mean) a Fourier mode in the bulk ...
Panopticon's user avatar
1 vote
0 answers
84 views

Explanation of Multiplet Shortening and Unitary Bounds in Supersymmetry (AdS/CFT): Algebraic Insights

I am currently studying this paper and I'm struggling to grasp the concepts of multiplet shortening and unitary bounds in the context of supersymmetry. I am specifically interested in obtaining a ...
iron's user avatar
  • 43
0 votes
1 answer
259 views

What does it mean for a quantum field theory to "live" on a manifold?

I was attending lectures om holography where the lecturer kept on mentioning that a QFT lives on a Cauchy slice. What does that mean? Is it such that each point of the slice is associated to a unique ...
Infinity540's user avatar
2 votes
1 answer
121 views

Gluon scattering in AdS

In recent years there has been interest in computing scattering amplitudes of (super)gluons in Anti-de Sitter (AdS) space in all kinds of stringy theories in different spacetime dimensions (see for ...
Rubilax96's user avatar
  • 165
0 votes
0 answers
51 views

Advanced string theory book recommendations [duplicate]

Let's say I fully understand Polchinski books on string theory Are there any recommended and more advanced book on strings?
0 votes
0 answers
86 views

Pedagogical reference to learn how to work with CFTs?

I know very little about AdS/CFT, but I am considering looking more into quantum gravity for future research topics. From those of you who have already "conquered" AdS/CFT, I was wondering ...
Scott's user avatar
  • 65
0 votes
0 answers
94 views

In AdS/CFT, do we have Weyl-invariance or only conformal invariance?

The asymptotic symmetry group of $AdS_{d+1}$ is $SO(d,2)$, which just so happens to be the conformal group of $d$-dimensional Minkowski spacetime. Therefore the boundary dual, if it exists, has ...
nodumbquestions's user avatar

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