All Questions
Tagged with ads-cft mathematical-physics
6
questions
7
votes
0
answers
84
views
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 ...
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}\...
5
votes
2
answers
2k
views
Bulk-to-Boundary propagator
How can I show that the bulk-to-boundary propagator
$$
K(z,x;x')~=~\frac{z^{\Delta}}{[z^2+(x-x')^2]^{\Delta}} \tag{1}
$$
goes as a Dirac delta function near the boundary
$$
K(z,x;x')~\sim ~z^{d-\Delta}...
3
votes
1
answer
234
views
Do Cauchy horizons in AdS have a dual picture in the dual CFT?
The AdS/CFT correspondence has kindled interest in anti-de Sitter and asymptotically AdS spacetimes which are non-globally hyperbolic. That means a Cauchy horizon forms in these spacetimes. Moreover, ...
2
votes
0
answers
82
views
How many unequivalent Seifert surfaces appear in a AdS/CFT extension?
When introducing the 't Hooft diagrams from Feynman diagrams on a torus has there been a classification in terms of knots and Seifert surfaces?
2
votes
0
answers
87
views
Boundaries where AdS/CFT complementarity applies
Usually when I read about AdS/CFT complementarity as a particular case of the Holographic principle, it suggests that physics evolution on a boundary has a map to physics evolution on the bulk.
But ...