Holographic entanglement entropy: Near horizon geometry and disconnected regions

Journal of High Energy Physics

Volumn 2011, Issue 5, 2011, Pages

  Tonni, Erik ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

AdS CFT correspondence; Black holes

Indexed keywords

EID: 79960262725     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP05(2011)004     Document Type: Article

References (32)

1. M. Srednicki, Entropy and area, Phys. Rev. Lett. 71 (1993) 666 [hep-th/9303048] [SPIRES].
2. C.G. Callan Jr. and F. Wilczek, On geometric entropy, Phys. Lett. B 333 (1994) 55 [hep-th/9401072] [SPIRES].
3. C. Holzhey, F. Larsen and F. Wilczek, Geometric and renormalized entropy in conformal field theory, Nucl. Phys. B 424 (1994) 443 [hep-th/9403108] [SPIRES].
4. P. Calabrese and J.L. Cardy, Entanglement entropy and quantum field theory, J. Stat. Mech. (2004) P06002 [hep-th/0405152] [SPIRES].
5. P. Calabrese and J. Cardy, Entanglement entropy and conformal field theory, J. Phys. A 42 (2009) 504005 [arXiv:0905.4013] [SPIRES].
6. S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT, Phys. Rev. Lett. 96 (2006) 181602 [hep-th/0603001] [SPIRES].
7. S. Ryu and T. Takayanagi, Aspects of holographic entanglement entropy, JHEP 08 (2006) 045 [hep-th/0605073] [SPIRES].
8. V.E. Hubeny, M. Rangamani and T. Takayanagi, A covariant holographic entanglement entropy proposal, JHEP 07 (2007) 062 [arXiv:0705.0016] [SPIRES].
9. D.V. Fursaev, Proof of the holographic formula for entanglement entropy, JHEP 09 (2006) 018 [hep-th/0606184] [SPIRES].
10. T. Nishioka, S. Ryu and T. Takayanagi, Holographic entanglement entropy: An overview, J. Phys. A 42 (2009) 504008 [arXiv:0905.0932] [SPIRES].
11. I.R. Klebanov, D. Kutasov and A. Murugan, Entanglement as a probe of confinement, Nucl. Phys. B 796 (2008) 274 [arXiv:0709.2140] [SPIRES].
12. J.L.F. Barbon and C.A. Fuertes, A note on the extensivity of the holographic entanglement entropy, JHEP 05 (2008) 053 [arXiv:0801.2153] [SPIRES].
13. J.L.F. Barbon and C.A. Fuertes, Holographic entanglement entropy probes (non)locality, JHEP 04 (2008) 096 [arXiv:0803.1928] [SPIRES].
14. M. Caraglio and F. Gliozzi, Entanglement entropy and twist fields, JHEP 11 (2008) 076 [arXiv:0808.4094] [SPIRES].
15. S. Furukawa, V. Pasquier and J. Shiraishi, Mutual information and compactification radius in a c = 1 critical phase in one dimension, arXiv:0809.5113 [SPIRES].
16. P. Calabrese, J. Cardy and E. Tonni, Entanglement entropy of two disjoint intervals in conformal field theory, J. Stat. Mech. (2009) P11001 [arXiv:0905.2069] [SPIRES].
17. P. Calabrese, J. Cardy and E. Tonni, Entanglement entropy of two disjoint intervals in conformal field theory II, J. Stat. Mech. (2011) P01021 [arXiv:1011.5482] [SPIRES].
18. V. Alba, L. Tagliacozzo and P. Calabrese, Entanglement entropy of two disjoint blocks in critical Ising models, arXiv:0910.0706 [SPIRES].
19. M. Fagotti and P. Calabrese, Entanglement entropy of two disjoint blocks in XY chains, J. Stat. Mech. (2010) P04016 [arXiv:1003.1110] [SPIRES].
20. H. Casini, C.D. Fosco and M. Huerta, Entanglement and α entropies for a massive Dirac field in two dimensions, J. Stat. Mech. (2005) P07007 [cond-mat/0505563] [SPIRES].
21. H. Casini and M. Huerta, Remarks on the entanglement entropy for disconnected regions, JHEP 03 (2009) 048 [arXiv:0812.1773] [SPIRES].
22. H. Casini and M. Huerta, Reduced density matrix and internal dynamics for multicomponent regions, Class. Quant. Grav. 26 (2009) 185005 [arXiv:0903.5284] [SPIRES].
23. T. Hirata and T. Takayanagi, AdS/CFT and strong subadditivity of entanglement entropy, JHEP 02 (2007) 042 [hep-th/0608213] [SPIRES].
24. M. Headrick and T. Takayanagi, A holographic proof of the strong subadditivity of entanglement entropy, Phys. Rev. D 76 (2007) 106013 [arXiv:0704.3719] [SPIRES].
25. V.E. Hubeny and M. Rangamani, Holographic entanglement entropy for disconnected regions, JHEP 03 (2008) 006 [arXiv:0711.4118] [SPIRES].
26. M. Headrick, Entanglement Renyi entropies in holographic theories, Phys. Rev. D 82 (2010) 126010 [arXiv:1006.0047] [SPIRES].
27. C.P. Herzog, I.R. Klebanov, S.S. Pufu and T. Tesileanu, Emergent quantum near-criticality from baryonic black branes, JHEP 03 (2010) 093 [arXiv:0911.0400] [SPIRES].
28. S.S. Gubser and A. Nellore, Ground states of holographic superconductors, Phys. Rev. D 80 (2009) 105007 [arXiv:0908.1972] [SPIRES].
29. S.S. Gubser, Breaking an abelian gauge symmetry near a black hole horizon, Phys. Rev. D 78 (2008) 065034 [arXiv:0801.2977] [SPIRES].
30. K. Balasubramanian and J. McGreevy, An analytic Lifshitz black hole, Phys. Rev. D 80 (2009) 104039 [arXiv:0909.0263] [SPIRES].
31. T. Azeyanagi, T. Nishioka and T. Takayanagi, Near extremal black hole entropy as entanglement entropy via AdS2/CFT1, Phys. Rev. D 77 (2008) 064005 [arXiv:0710.2956] [SPIRES].
32. T. Azeyanagi, W. Li and T. Takayanagi, On string theory duals of Lifshitz-like fixed points, JHEP 06 (2009) 084 [arXiv:0905.0688] [SPIRES].