On shape dependence of holographic mutual information in AdS4
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  • 作者:Piermarco Fonda (1)
    Luca Giomi (2)
    Alberto Salvio (3) (4)
    Erik Tonni (1)

    1. SISSA and INFN
    ; via Bonomea 265 ; 34136 ; Trieste ; Italy
    2. Instituut-Lorentz
    ; Universiteit Leiden ; P.O. Box 9506 ; 2300 RA ; Leiden ; The Netherlands
    3. Instituto de F铆sica Te贸rica IFT-UAM/CSIC
    ; Universidad Aut贸noma de Madrid ; Madrid ; 28049 ; Spain
    4. Departamento de F铆sica Te贸rica
    ; Universidad Aut贸noma de Madrid ; Madrid ; Spain
  • 关键词:Gauge ; gravity correspondence ; AdS ; CFT Correspondence
  • 刊名:Journal of High Energy Physics
  • 出版年:2015
  • 出版时间:February 2015
  • 年:2015
  • 卷:2015
  • 期:2
  • 全文大小:6,845 KB
  • 参考文献:1. M. Srednicki, / Entropy and area, / Phys. Rev. Lett. 71 (1993) 666 [hep-th/9303048] [INSPIRE]. CrossRef
    2. L. Bombelli, R.K. Koul, J. Lee and R.D. Sorkin, / A quantum source of entropy for black holes, / Phys. Rev. D 34 (1986) 373 [INSPIRE].
    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] [INSPIRE]. CrossRef
    4. P. Calabrese and J.L. Cardy, / Entanglement entropy and quantum field theory, / J. Stat. Mech. 06 (2004) P06002 [hep-th/0405152] [INSPIRE].
    5. J.M. Maldacena, / The large-N limit of superconformal field theories and supergravity, / Int. J. Theor. Phys. 38 (1999) 1113 [hep-th/9711200] [INSPIRE]. CrossRef
    6. E. Witten, / Anti-de Sitter space and holography, / Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].
    7. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, / Gauge theory correlators from noncritical string theory, / Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [INSPIRE]. CrossRef
    8. O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, / Large-N field theories, string theory and gravity, / Phys. Rept. 323 (2000) 183 [hep-th/9905111] [INSPIRE]. CrossRef
    9. S. Ryu and T. Takayanagi, / Holographic derivation of entanglement entropy from AdS/CFT, / Phys. Rev. Lett. 96 (2006) 181602 [hep-th/0603001] [INSPIRE]. CrossRef
    10. S. Ryu and T. Takayanagi, / Aspects of holographic entanglement entropy, / JHEP 08 (2006) 045 [hep-th/0605073] [INSPIRE]. CrossRef
    11. V.E. Hubeny, M. Rangamani and T. Takayanagi, / A covariant holographic entanglement entropy proposal, / JHEP 07 (2007) 062 [arXiv:0705.0016] [INSPIRE]. CrossRef
    12. P. Calabrese and J. Cardy, / Entanglement entropy and conformal field theory, / J. Phys. A 42 (2009) 504005 [arXiv:0905.4013] [INSPIRE].
    13. H. Casini and M. Huerta, / Entanglement entropy in free quantum field theory, / J. Phys. A 42 (2009) 504007 [arXiv:0905.2562] [INSPIRE].
    14. T. Takayanagi, / Entanglement entropy from a holographic viewpoint, / Class. Quant. Grav. 29 (2012) 153001 [arXiv:1204.2450] [INSPIRE]. CrossRef
    15. J.M. Maldacena, / Wilson loops in large-N field theories, / Phys. Rev. Lett. 80 (1998) 4859 [hep-th/9803002] [INSPIRE]. CrossRef
    16. S.-J. Rey and J.-T. Yee, / Macroscopic strings as heavy quarks in large-N gauge theory and anti-de Sitter supergravity, / Eur. Phys. J. C 22 (2001) 379 [hep-th/9803001] [INSPIRE]. CrossRef
    17. H. Casini, M. Huerta and R.C. Myers, / Towards a derivation of holographic entanglement entropy, / JHEP 05 (2011) 036 [arXiv:1102.0440] [INSPIRE]. CrossRef
    18. R.C. Myers and A. Sinha, / Holographic c-theorems in arbitrary dimensions, / JHEP 01 (2011) 125 [arXiv:1011.5819] [INSPIRE]. CrossRef
    19. I.R. Klebanov, S.S. Pufu and B.R. Safdi, / F-theorem without supersymmetry, / JHEP 10 (2011) 038 [arXiv:1105.4598] [INSPIRE]. CrossRef
    20. H. Casini and M. Huerta, / On the RG running of the entanglement entropy of a circle, / Phys. Rev. D 85 (2012) 125016 [arXiv:1202.5650] [INSPIRE].
    21. S.N. Solodukhin, / Entanglement entropy, conformal invariance and extrinsic geometry, / Phys. Lett. B 665 (2008) 305 [arXiv:0802.3117] [INSPIRE]. CrossRef
    22. V.E. Hubeny, / Extremal surfaces as bulk probes in AdS/CFT, / JHEP 07 (2012) 093 [arXiv:1203.1044] [INSPIRE]. CrossRef
    23. I.R. Klebanov, T. Nishioka, S.S. Pufu and B.R. Safdi, / On shape dependence and RG flow of entanglement entropy, / JHEP 07 (2012) 001 [arXiv:1204.4160] [INSPIRE]. CrossRef
    24. R.C. Myers, R. Pourhasan and M. Smolkin, / On spacetime entanglement, / JHEP 06 (2013) 013 [arXiv:1304.2030] [INSPIRE]. CrossRef
    25. I. Papadimitriou, / Holographic renormalization as a canonical transformation, / JHEP 11 (2010) 014 [arXiv:1007.4592] [INSPIRE]. CrossRef
    26. L.-Y. Hung, R.C. Myers and M. Smolkin, / Some calculable contributions to holographic entanglement entropy, / JHEP 08 (2011) 039 [arXiv:1105.6055] [INSPIRE]. CrossRef
    27. A.F. Astaneh, G. Gibbons and S.N. Solodukhin, / What surface maximizes entanglement entropy?, / Phys. Rev. D 90 (2014) 085021 [arXiv:1407.4719] [INSPIRE].
    28. A. Allais and M. Mezei, / Some results on the shape dependence of entanglement and R茅nyi entropies, arXiv:1407.7249 [INSPIRE].
    29. G. Vidal and R.F. Werner, / Computable measure of entanglement, / Phys. Rev. A 65 (2002) 032314 [quant-ph/0102117]. CrossRef
    30. P. Calabrese, J. Cardy and E. Tonni, / Entanglement negativity in quantum field theory, / Phys. Rev. Lett. 109 (2012) 130502 [arXiv:1206.3092] [INSPIRE]. CrossRef
    31. P. Calabrese, J. Cardy and E. Tonni, / Entanglement negativity in extended systems: a field theoretical approach, / J. Stat. Mech. 02 (2013) P02008 [arXiv:1210.5359] [INSPIRE].
    32. P. Calabrese, J. Cardy and E. Tonni, / Finite temperature entanglement negativity in conformal field theory, / J. Phys. A 48 (2015) 015006 [arXiv:1408.3043] [INSPIRE].
    33. M. Caraglio and F. Gliozzi, / Entanglement entropy and twist fields, / JHEP 11 (2008) 076 [arXiv:0808.4094] [INSPIRE]. CrossRef
    34. S. Furukawa, V. Pasquier and J. Shiraishi, / Mutual information and compactification radius in a c = 1 / critical phase in one dimension, / Phys. Rev. Lett. 102 (2009) 170602 [arXiv:0809.5113] [INSPIRE]. CrossRef
    35. P. Calabrese, J. Cardy and E. Tonni, / Entanglement entropy of two disjoint intervals in conformal field theory, / J. Stat. Mech. 11 (2009) P11001 [arXiv:0905.2069] [INSPIRE]. CrossRef
    36. P. Calabrese, J. Cardy and E. Tonni, / Entanglement entropy of two disjoint intervals in conformal field theory II, / J. Stat. Mech. 01 (2011) P01021 [arXiv:1011.5482] [INSPIRE].
    37. V. Alba, L. Tagliacozzo and P. Calabrese, / Entanglement entropy of two disjoint blocks in critical Ising models, / Phys. Rev. B 81 (2010) 060411 [arXiv:0910.0706] [INSPIRE]. CrossRef
    38. M. Fagotti and P. Calabrese, / Entanglement entropy of two disjoint blocks in XY chains, / J. Stat. Mech. 04 (2010) P04016 [arXiv:1003.1110] [INSPIRE].
    39. V. Alba, L. Tagliacozzo and P. Calabrese, / Entanglement entropy of two disjoint intervals in c=1 / theories, / J. Stat. Mech. 06 (2011) P06012 [arXiv:1103.3166] [INSPIRE].
    40. J. Cardy, / Some results on the mutual information of disjoint regions in higher dimensions, / J. Phys. A 46 (2013) 285402 [arXiv:1304.7985] [INSPIRE].
    41. H. Casini and M. Huerta, / Remarks on the entanglement entropy for disconnected regions, / JHEP 03 (2009) 048 [arXiv:0812.1773] [INSPIRE]. CrossRef
    42. H.J. Schnitzer, / Mutual R茅nyi information for two disjoint compound systems, arXiv:1406.1161 [INSPIRE].
    43. L.-Y. Hung, R.C. Myers and M. Smolkin, / Twist operators in higher dimensions, / JHEP 10 (2014) 178 [arXiv:1407.6429] [INSPIRE]. CrossRef
    44. N. Shiba, / Entanglement entropy of two spheres, / JHEP 07 (2012) 100 [arXiv:1201.4865] [INSPIRE]. CrossRef
    45. V.E. Hubeny and M. Rangamani, / Holographic entanglement entropy for disconnected regions, / JHEP 03 (2008) 006 [arXiv:0711.4118] [INSPIRE]. CrossRef
    46. M. Headrick, / Entanglement R茅nyi entropies in holographic theories, / Phys. Rev. D 82 (2010) 126010 [arXiv:1006.0047] [INSPIRE].
    47. E. Tonni, / Holographic entanglement entropy: near horizon geometry and disconnected regions, / JHEP 05 (2011) 004 [arXiv:1011.0166] [INSPIRE]. CrossRef
    48. D.J. Gross and H. Ooguri, / Aspects of large-N gauge theory dynamics as seen by string theory, / Phys. Rev. D 58 (1998) 106002 [hep-th/9805129] [INSPIRE].
    49. K. Zarembo, / Wilson loop correlator in the AdS/CFT correspondence, / Phys. Lett. B 459 (1999) 527 [hep-th/9904149] [INSPIRE]. CrossRef
    50. P. Olesen and K. Zarembo, / Phase transition in Wilson loop correlator from AdS/CFT correspondence, hep-th/0009210 [INSPIRE].
    51. H. Kim, D.K. Park, S. Tamarian and H.J.W. Muller-Kirsten, / Gross-Ooguri phase transition at zero and finite temperature: two circular Wilson loop case, / JHEP 03 (2001) 003 [hep-th/0101235] [INSPIRE]. CrossRef
    52. T. Faulkner, A. Lewkowycz and J. Maldacena, / Quantum corrections to holographic entanglement entropy, / JHEP 11 (2013) 074 [arXiv:1307.2892] [INSPIRE]. CrossRef
    53. M. Headrick and T. Takayanagi, / A holographic proof of the strong subadditivity of entanglement entropy, / Phys. Rev. D 76 (2007) 106013 [arXiv:0704.3719] [INSPIRE].
    54. T. Azeyanagi, T. Nishioka and T. Takayanagi, / Near extremal black hole entropy as entanglement entropy via AdS 2 / /CF T 1, / Phys. Rev. D 77 (2008) 064005 [arXiv:0710.2956] [INSPIRE].
    55. V.E. Hubeny, H. Maxfield, M. Rangamani and E. Tonni, / Holographic entanglement plateaux, / JHEP 08 (2013) 092 [arXiv:1306.4004] [INSPIRE]. CrossRef
    56. N. Drukker and B. Fiol, / On the integrability of Wilson loops in AdS 5 脳 / S 5 / : some periodic ans盲tze, / JHEP 01 (2006) 056 [hep-th/0506058] [INSPIRE]. CrossRef
    57. T. Hirata and T. Takayanagi, / AdS/CFT and strong subadditivity of entanglement entropy, / JHEP 02 (2007) 042 [hep-th/0608213] [INSPIRE]. CrossRef
    58. A. Dekel and T. Klose, / Correlation function of circular Wilson loops at strong coupling, / JHEP 11 (2013) 117 [arXiv:1309.3203] [INSPIRE]. CrossRef
    59. P. Krtous and A. Zelnikov, / Entanglement entropy of spherical domains in anti-de Sitter space, / Phys. Rev. D 89 (2014) 104058 [arXiv:1311.1685] [INSPIRE].
    60. P. Krtous and A. Zelnikov, / Minimal surfaces and entanglement entropy in anti-de Sitter space, / JHEP 1410 (2014) 77 [arXiv:1406.7659] [INSPIRE]. CrossRef
    61. K. Brakke, / The surface evolver, / Exp. Math. 1 (1992) 141. CrossRef
    62. / Surface evolver program webpage, http://www.susqu.edu/brakke/evolver/evolver.html.
    63. E. Fradkin and J.E. Moore, / Entanglement entropy of 2 / D conformal quantum critical points: hearing the shape of a quantum drum, / Phys. Rev. Lett. 97 (2006) 050404 [cond-mat/0605683] [INSPIRE]. CrossRef
    64. H. Casini and M. Huerta, / Universal terms for the entanglement entropy in 2 + 1 / dimensions, / Nucl. Phys. B 764 (2007) 183 [hep-th/0606256] [INSPIRE]. CrossRef
    65. A.B. Kallin, E.M. Stoudenmire, P. Fendley, R.R.P. Singh and R.G. Melko, / Corner contribution to the entanglement entropy of an O(3) / quantum critical point in 2 + 1 / dimensions, / J. Stat. Mech. 06 (2014) P06009 [arXiv:1401.3504] [INSPIRE]. CrossRef
    66. N. Drukker, D.J. Gross and H. Ooguri, / Wilson loops and minimal surfaces, / Phys. Rev. D 60 (1999) 125006 [hep-th/9904191] [INSPIRE].
    67. R.C. Myers and A. Singh, / Entanglement entropy for singular surfaces, / JHEP 09 (2012) 013 [arXiv:1206.5225] [INSPIRE]. CrossRef
    68. I.R. Klebanov, D. Kutasov and A. Murugan, / Entanglement as a probe of confinement, / Nucl. Phys. B 796 (2008) 274 [arXiv:0709.2140] [INSPIRE]. CrossRef
    69. D.E. Berenstein, R. Corrado, W. Fischler and J.M. Maldacena, / The operator product expansion for Wilson loops and surfaces in the large-N limit, / Phys. Rev. D 59 (1999) 105023 [hep-th/9809188] [INSPIRE].
    70. A. Coser, L. Tagliacozzo and E. Tonni, / On R茅nyi entropies of disjoint intervals in conformal field theory, / J. Stat. Mech. 01 (2014) P01008 [arXiv:1309.2189] [INSPIRE]. CrossRef
    71. P. Hayden, M. Headrick and A. Maloney, / Holographic mutual information is monogamous, / Phys. Rev. D 87 (2013) 046003 [arXiv:1107.2940] [INSPIRE].
    72. M. Headrick, / General properties of holographic entanglement entropy, / JHEP 03 (2014) 085 [arXiv:1312.6717] [INSPIRE]. CrossRef
    73. V. Balasubramanian, P. Hayden, A. Maloney, D. Marolf and S.F. Ross, / Multiboundary wormholes and holographic entanglement, / Class. Quant. Grav. 31 (2014) 185015 [arXiv:1406.2663] [INSPIRE]. CrossRef
    74. J. Abajo-Arrastia, J. Aparicio and E. Lopez, / Holographic evolution of entanglement entropy, / JHEP 11 (2010) 149 [arXiv:1006.4090] [INSPIRE]. CrossRef
    75. V. Balasubramanian et al., / Holographic thermalization, / Phys. Rev. D 84 (2011) 026010 [arXiv:1103.2683] [INSPIRE].
    76. V. Balasubramanian, A. Bernamonti, N. Copland, B. Craps and F. Galli, / Thermalization of mutual and tripartite information in strongly coupled two dimensional conformal field theories, / Phys. Rev. D 84 (2011) 105017 [arXiv:1110.0488] [INSPIRE].
    77. A. Allais and E. Tonni, / Holographic evolution of the mutual information, / JHEP 01 (2012) 102 [arXiv:1110.1607] [INSPIRE]. CrossRef
    78. R. Callan, J.-Y. He and M. Headrick, / Strong subadditivity and the covariant holographic entanglement entropy formula, / JHEP 06 (2012) 081 [arXiv:1204.2309] [INSPIRE]. CrossRef
    79. H. Liu and S.J. Suh, / Entanglement growth during thermalization in holographic systems, / Phys. Rev. D 89 (2014) 066012 [arXiv:1311.1200] [INSPIRE].
    80. E. Kreyszig, / Differential geometry, Dover Publications, New York U.S.A. (1991).
    81. D.L. Chopp, / Computing minimal surfaces via level set curvature flow, / J. Comput. Phys. 106 (1993) 77. CrossRef
    82. M. Abramowitz and I. Stegun, / Handbook of mathematical functions with formulas, graphs and mathematical tables, Dover Publications, New York U.S.A. (1964).
  • 刊物类别:Physics and Astronomy
  • 刊物主题:Physics
    Elementary Particles and Quantum Field Theory
    Quantum Field Theories, String Theory
  • 出版者:Springer Berlin / Heidelberg
  • ISSN:1029-8479
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