Computing Entanglement Entropy of CFTs in the Large-c Limit

Click For Summary
SUMMARY

The discussion focuses on computing the entanglement entropy of two conformal field theories (CFTs) in the thermofield double state within the large central charge limit (c → ∞) in 1+1 dimensions. Participants seek references for calculating this without resorting to holography or the Ryu-Takayanagi formula. The inquiry highlights the limitations of existing methods, particularly those by Cardy et al., for computing 2-point twist correlators on a torus. The need for alternative verification methods for the results obtained through holographic calculations is emphasized.

PREREQUISITES
  • Understanding of conformal field theory (CFT) principles
  • Familiarity with entanglement entropy concepts
  • Knowledge of the Ryu-Takayanagi formula
  • Basic grasp of Euclidean path integrals
NEXT STEPS
  • Research the computation of entanglement entropy in CFTs without holography
  • Study the implications of the large central charge limit in CFTs
  • Examine alternative methods for calculating 2-point twist correlators on a torus
  • Review the paper by Cardy et al. for insights on twist correlations
USEFUL FOR

The discussion is beneficial for theoretical physicists, particularly those specializing in quantum field theory, entanglement entropy, and the study of conformal field theories in high-energy physics.

WannabeNewton
Science Advisor
Gold Member
Messages
5,850
Reaction score
553
Consider the problem of computing the entanglement entropy of two CFTs in the thermofield double state on identical finite intervals in 1+1 dimensions. The Euclidean path integral is then equivalent to computing the 2-point twist correlator on a torus. Given a central charge ##c##, does anyone know of a reference that computes this in the ##c\rightarrow \infty## limit without using holography i.e. without going to the thermal AdS saddle point (I think?) and using Ryu-Takayanagi?
 
Physics news on Phys.org
What's the paper that calculates it using Ryu-Takayanagi? I guess they don't check the result by another means?
 
I didn't have one in mind; I'm working on the holographic calculation but wanted to see if the CFT calculation was doable in the infinite central charge limit for a finite interval on a torus since the methods of Cardy et al (http://arxiv.org/pdf/0905.4013v2.pdf) to compute the 2-point twist correlations no longer apply to a torus as far as I can tell.
 
  • Like
Likes   Reactions: atyy

Similar threads

  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 27 ·
Replies
27
Views
18K
  • · Replies 105 ·
4
Replies
105
Views
15K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 13 ·
Replies
13
Views
10K
  • · Replies 13 ·
Replies
13
Views
4K
  • · Replies 4 ·
Replies
4
Views
3K
Replies
24
Views
8K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 1 ·
Replies
1
Views
4K