Holographic Entanglement Entropy

By M. Rangamani, T. Takayanagi. 2016

529 citations recorded by the source corpus.

The discussions in §2 and §3 make it rather clear that while we have to evaluate a sequence of functional integrals to compute the Renyi entropies, these are rather complex quantities which required us to work with QFTs on singular branched cover manifolds. Apart from the case of CFT2 discussed in §3, where the power of conformal invariance can be used to simplify the problem, this is a rather formidable task for interacting QFTs, in general.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/2303ded8081005fedcfad3c3545176df14c59c98

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. D. Stanford
2. R. Myers
3. S. Shenker
4. Joshua Sandor
5. Dominik Neuenfeld
6. I. Reyes
7. J. Maldacena
8. H. Chen

In Nuclear and High Energy Physics

1. R. Myers
2. D. Stanford
3. S. Shenker
4. Zhenbin Yang
5. J. Maldacena
6. Joshua Sandor
7. Dominik Neuenfeld
8. I. Reyes

In Statistical and Nonlinear Physics

1. D. Stanford
2. R. Myers
3. S. Shenker
4. Joshua Sandor
5. Dominik Neuenfeld
6. I. Reyes
7. Zhenbin Yang
8. H. Chen

Citations in the corpus

• Quantum extremal islands made easy. Part II. Black holes on the brane (2020, background): “The new approach builds on insights coming from holographic entanglement entropy [16–19] and its extension to include quantum contributions [20, 21].”
• Replica wormholes and the black hole interior (2019, background): “This resonates with the longstanding suspicion that some small corrections to the Hawking calculation (of order e−SBH) could be responsible for making black For example [4, 5, 6, 7, 8, 9]; for a review see [10].”
• Entanglement entropy: Holography and renormalization group (2018, methodology): “Finally, we recommend the reader to the textbook (Rangamani and Takayanagi, 2017) for a comprehensive overview of the whole subjects.”
• Information flow in black hole evaporation (2019, methodology): “A particularly convenient aspect of the holographic model is that the entanglement entropy is now determined simply using the Hubeny-Rangamani-Ryu-Takayanagi prescription [39, 50].”
• Holographic dark energy (2016, background): “The recent theoretical developments in holographic entanglement entropy has refreshed our understanding of HP in the context of AdS/CFT – spacetime may be understood as emergent from the entanglement entropy of the dual theory (see [444] for original work and [445] for a review of recent development”
• Quantum extremal islands made easy. Part I. Entanglement on the brane (2020, background): “In the holographic context, these divergences arise because the RT surface in the bulk extends out to the asymptotic boundary and hence the unregulated area is infinite [6, 7, 9].”