SPECIAL ISSUE: Proceedings of the International Conference on Progress of String Theory and Quantum Field Theory, Osaka City University, 7–10 December 2007; Editors: K. Fujiwara, H. Itoyama, S. Kawamoto, H. Kihara, T. Oota, M. Sakaguchi, T. Takayanagi and Y. YasuiNo Access

COVARIANT ENTANGLEMENT ENTROPY

TADASHI TAKAYANAGI

TADASHI TAKAYANAGI

Department of Physics, Kyoto University, Kyoto 606-8502, Japan

Search for more papers by this author

https://doi.org/10.1142/S0217751X08040615Cited by:1 (Source: Crossref)

Abstract

We review our recent formulation^1,2 of computing entanglement entropy in a holographic way. The basic examples can be found by applying AdS/CFT correspondence and the holographic formula has successfully been checked in many examples of conformal field theories. We also explain the covariant formulation of holographic entanglement entropy which is closely related to the covariant entropy bound (Bousso bound) in an interesting way.

Keywords:

PACS: 04.70.Dy, 04.50.+h

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

S. Ryu and T. Takayanagi, "Holographic derivation of entanglement entropy from AdS/CFT," Phys. Rev. Lett. 96 (2006) 181602 [arXiv:hep-th/0603001]; "Holographic derivation of entanglement entropy from AdS/CFT," Phys. Rev. Lett. 96 (2006) 181602 [arXiv:hep-th/0603001] . Google Scholar
V. E. Hubeny, M. Rangamani and T. Takayanagi, JHEP 0707, 062 (2007), arXiv:0705.0016. ADS, Google Scholar
G. 't Hooft, "Dimensional reduction in quantum gravity," [arXiv:gr-qc/9310026]; L. Susskind, "The World as a hologram," J. Math. Phys. 36, 6377 (1995) [arXiv:hep-th/9409089]; D. Bigatti and L. Susskind, "TASI lectures on the holographic principle," [arXiv:hep-th/0002044] . Google Scholar
J. M. Maldacena, "The large N limit of superconformal field theories and supergravity," Adv. Theor. Math. Phys. 2, 231 (1998) [Int. J. Theor. Phys. 38, 1113 (1999)] [arXiv:hep-th/9711200]; O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, "Large N field theories, string theory and gravity," Phys. Rept. 323, 183 (2000) [arXiv:hep-th/9905111] . Google Scholar
S. Kachruet al., Phys. Rev. D 68, 046005 (2003), arXiv:hep-th/0301240 DOI: 10.1103/PhysRevD.68.046005. Crossref, Web of Science, Google Scholar
P. Calabrese and J. Cardy, J. Stat. Mech. 0406, P002 (2004), arXiv:hep-th/0405152. Google Scholar
S. S. Gubser, I. R. Klebanov and A. M. Polyakov, "Gauge theory correlators from non-critical string theory," Phys. Lett. B 428, 105 (1998) [arXiv:hep-th/9802109]; E. Wit-ten, "Anti-de Sitter space and holography," Adv. Theor. Math. Phys. 2, 253 (1998) [arXiv:hep-th/9802150] . Google Scholar
D. V. Fursaev, JHEP 0609, 018 (2006), arXiv:hep-th/0606184. ADS, Google Scholar
R. Bousso, JHEP 9907, 004 (1999), arXiv:hep-th/9905177. ADS, Google Scholar
L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999), arXiv:hep-th/9906064 DOI: 10.1103/PhysRevLett.83.4690. Crossref, Web of Science, ADS, Google Scholar

Vol. 23, No. 14n15

Metrics

Downloaded 42 times

History

Keywords

PDF download

System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

COVARIANT ENTANGLEMENT ENTROPY

Abstract

Recommended