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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 ...
Sanjana's user avatar
  • 785
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
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}...
Andrea89's user avatar
  • 582
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, ...
yess's user avatar
  • 2,119
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?
user33923's user avatar
  • 737
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 ...
user56771's user avatar
  • 873