Questions tagged [ads-cft]
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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$\mathrm{AdS_3}$ bulk with BTZ black holes and particles in AdS/CFT
Consider three-dimensional anti-de Sitter space $\mathrm{AdS_3}$ treated as the $SL(2,\mathbb{R})$ group manifold, thus parametrised by elements $g \in SL(2,\mathbb{R})$. This space has as isometry ...
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Coulomb Branch vs. Higgs Branch (and the connection with D-branes, AdS/CFT)
I am confused about the difference between the Coulomb and Higgs branches of the moduli space of supersymmetric gauge theories. It's easy to find a definition for $D=4$, $\mathcal{N}=2$ supersymmetric ...
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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}) = \frac{1}{...
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Collapse of two large black holes in AdS
In $4d$ flat space, two black holes of mass $M$ can collapse to form another one of (roughly) mass $2M$. This process is spontaneous, as reflected by the fact that the black hole entropy $S=M^2$ ...
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What is the physical interpretation of the Papadodimas/Raju mirror operators?
In this paper
http://arxiv.org/abs/1310.6335,
the authors discuss the firewall problem and contruct so called mirror operators appearing in the correlation function. The key part seems to be (2.6) ...
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How to derive the probability distribution of reduced density matrix eigenvalues for randomly chosen pure states in Page's theorem?
Motivation
I am trying to reproduce the proof in Page's theorem as conjectured in the seminal paper Average Entropy of a Subsystem by Don N. Page. It is crucial in various resolutions of black hole ...
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The surface area to volume ratio of a sphere and the Bekenstein bound
I am trying to relate the surface-area-to-volume-ratio of a sphere to the Bekenstein bound. Since the surface-area-to-volume-ratio decreases with increasing volume, one would surmise that, per unit of ...
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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 ...
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Correlators at large $N$ and large $N$ factorization
I am having this very basic problem. In e.g Maldacena's AdS/CFT review (https://arxiv.org/abs/hep-th/0309246) (page 5), he has defined operators as $\mathcal{O}=N\,{\rm tr}[f(M)]$ for some matrices $M$...
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Operator insertions vs boundary conditions in AdS/CFT
This question is motivated by AdS/CFT, but really it's just about AdS quantum gravity. Consider quantum gravity in asymptotically AdS spacetime. For simplicity, assume there are no matter fields: the ...
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Target space of boundary CFT dual to a bulk string theory ($AdS_3/CFT_2$)
I was reading the Maldacena Ooguri paper where they mention that for the string theory living on $AdS_3\times S_3 \times M_4$ (where $M_4$ is $K3$ or $T^4$), the boundary CFT is the supersymmetric ...
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Can pure-bosonic string theories exist in curved spacetime?
Question: Can there be a consistent non-supersymmetric pure-bosonic string theory in some curved spacetimes?
Reason: Since fields with certain amount of negative mass can exist in curved spacetime (...
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Moduli Space of $\mathcal{N}=4$ SYM on $\mathbb{R} \times S^3$
When we define $\mathcal{N}=4$ SYM on flat Minkowski space, the supersymmetric vacua are parametrized by scalars living in the cartan subalgebra of the gauge group. A generic point in the moduli space ...
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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 Hartle-...
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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 ...