All Questions
33
questions
2
votes
0
answers
36
views
AdS$_3$ Geodesics' Length in ambient space as done in "Aspects of Holographic Entanglement Entropy"
I have been following the mentioned paper ("Aspects of Holographic Entanglement Entropy" hep-th/0605073 by Shinsei Ryu and Tadashi Takayanagi), trying to get into AdS/CFT. In section 6.2 ...
- 21
4
votes
0
answers
65
views
Confusion regarding the Susskind-Uglum conjecture
I have a very basic confusion regarding entropies in holography. In AdS/CFT, the Susskind-Uglum conjecture states that the generalized entropy of a bulk region, given by
$$S_{\text{gen}}(A) = \frac{\...
- 482
1
vote
1
answer
149
views
Is the Ryu-Takayanagi (RT) formula calculating coarse-grained or fine-grained entropy?
I think it is computing the fine-grained entropy. However, I am confused by the case that when there is a black hole in the bulk. The Ryu-Takayanagi surface may include the horizon of the black hole ...
- 133
3
votes
0
answers
137
views
Jafferis-Lewkowycz-Maldacena-Suh (JLMS) formula and tensor networks
While working with AdS/CFT, I am trying to look at the nature of the Jafferis-Lewkowycz-Maldacena-Suh (JLMS) formula in AdS/CFT, which is the statement that $S(\rho _{A}|\sigma _{A})=S_{\text{bulk}}(\...
- 470
2
votes
1
answer
150
views
In the context of the holographic principle, is the bulk-boundary correspondence due to entanglement?
According to the holographic principle, a "bulk" region of D dimensions corresponds to a "boundary" region of D-1 dimensions. In this context, the laws of physics of the bulk can ...
- 2,462
1
vote
0
answers
51
views
AdS/CFT and entropy
I would like to calculate the entropy of a CFT on a circle, and I know the partition function of the disk. Can I use AdS/CFT:
$$ Z_{CFT} = Z_{\text{bulk}}$$
To deduce :
$$S_{CFT} = (1-\beta \partial_\...
- 357
4
votes
2
answers
231
views
String theory hilbert space - Gas of free gravitons
I am trying to understand the arguments given in MAGOO in chapter 3.4.1(Hilbert Space of String Theory). The authors give descriptions of the Hilbert space of String Theory when we consider our theory ...
- 2,035
1
vote
0
answers
90
views
Holographic Entanglement Entropy for a mathematician
I'm not sure if this is an appropriate question for this site, but figured I'd give it a shot. I'm a mathematician (with an extremely limited background in physics) and have come across some ideas ...
2
votes
1
answer
112
views
Can we have entanglement entropy in the SYK model?
I know that defining of entanglement entropy and Ryu-Takayanagi formula in the AdS/CFT, can we define these in the SYK model?
- 89
1
vote
0
answers
115
views
How to compute a state exhibiting a given entanglement entropy?
We`ve known how to calculate entanglement entropy from a given ground state: make an entanglement cut (that divide system into subsystems $A$ and $B$), take the partial trace and
$$S=-\operatorname{Tr}...
- 169
3
votes
1
answer
233
views
Holographic entanglement entropy (Thermal case)
I'm trying to calculate the entanglement entropy in CFT2/AdS3 in the thermal case for a finite interval (-a,a). I'm reading the paper of Takayanagi and Rangamani (2016): https://arxiv.org/abs/1609....
- 33
1
vote
1
answer
79
views
How to solve the equation of motion of the minimal surface for spherical subsystems in AdS?
In order to compute the holographic entanglement entropy for a spherical subsystem in AdS using the Ryu-Takayanagi conjecture, one needs to solve the following second order nonlinear differential ...
2
votes
0
answers
91
views
What is going on in "nonlinear gravity from entanglement in conformal field theories"?
EDIT: I am now convinced that the sign of the logarithmic terms in the equations after 3.29 and 3.30 are wrong (unless I have missed something else). These identites come from looking at ...
3
votes
0
answers
55
views
Holographic dualities and strong subbadditivity of entanglement entropy
Recent analysis of inequalities satisfied by entanglement entropy in AdS bulk duals have led to establishing an equivalence between Strong Subadditivity and the Null Energy Condition (NEC)
How hard ...
- 14.5k
6
votes
1
answer
287
views
AdS/CFT and finiteness of entanglement entropy in CFT
AdS/CFT duality maps string theory to conformal field theory. String theory confirms Bekenstein-Hawking entropy, and thus the dual CFT must confirm it. However, CFT is still a quantum field theory, ...
- 111