Entanglement entropy of two-dimensional anti-de Sitter black holes. (English) Zbl 1246.83100
Summary: Using the AdS/CFT correspondence we derive a formula for the entanglement entropy of the anti-de Sitter black hole in two spacetime dimensions. The leading term in the large black hole mass expansion of our formula reproduces exactly the Bekenstein-Hawking entropy SBH, whereas the subleading term behaves as lnSBH. This subleading term has the universal form typical for the entanglement entropy of physical systems described by effective conformal fields theories (e.g. one-dimensional statistical models at the critical point). The well-known form of the entanglement entropy for a two-dimensional conformal field theory is obtained as analytic continuation of our result and is related with the entanglement entropy of a black hole with negative mass.
Keywords:
AdS/CFT correspondence; Bekenstein-Hawking entropy; anti-de Sitter black hole in two spacetime dimensionsReferences:
| [1] | Vidal, G.; Latorre, J. I.; Rico, E.; Kitaev, A., Phys. Rev. Lett., 90, 227902 (2003) |
| [2] | Its, A. R.; Jin, B. Q.; Korepin, V. E., J. Phys. A, 38, 2975 (2005) · Zbl 1112.82013 |
| [3] | Kitaev, A.; Preskill, J., Phys. Rev. Lett., 96, 110404 (2006) |
| [4] | Latorre, J. I.; Lutken, C. A.; Rico, E.; Vidal, G., Phys. Rev. A, 71, 034301 (2005) |
| [5] | Korepin, V. E., Phys. Rev. Lett., 92, 964021 (2003) |
| [6] | Holzhey, C.; Larsen, F.; Wilczek, F., Nucl. Phys. B, 424, 443 (1994) · Zbl 0990.81564 |
| [7] | Calabrese, P.; Cardy, J. L., J. Stat. Mech., 0406, P002 (2004) |
| [8] | Casini, H.; Huerta, M., Phys. Lett. B, 600, 142 (2004) · Zbl 1247.81021 |
| [9] | Fursaev, D. V., Phys. Rev. D, 73, 124025 (2006) |
| [10] | Solodukhin, S. N., Phys. Rev. Lett., 97, 201601 (2006) · Zbl 1228.83150 |
| [11] | Ryu, S.; Takayanagi, T., Phys. Rev. Lett., 96, 181602 (2006) · Zbl 1228.83110 |
| [12] | Ryu, S.; Takayanagi, T., JHEP, 0608, 045 (2006) |
| [13] | ’t Hooft, G., Nucl. Phys. B, 256, 727 (1985) |
| [14] | Bombelli, L.; Koul, R. K.; Lee, J. H.; Sorkin, R. D., Phys. Rev. D, 34, 373 (1986) · Zbl 1222.83077 |
| [15] | Frolov, V. P.; Novikov, I., Phys. Rev. D, 48, 4545 (1993) |
| [16] | Fiola, T. M.; Preskill, J.; Strominger, A.; Trivedi, S. P., Phys. Rev. D, 50, 3987 (1994) |
| [17] | Belgiorno, F.; Liberati, S., Phys. Rev. D, 53, 3172 (1996) |
| [18] | Hawking, S.; Maldacena, J. M.; Strominger, A., JHEP, 0105, 001 (2001) |
| [19] | Maldacena, J. M., JHEP, 0304, 021 (2003) |
| [20] | Brustein, R.; Einhorn, M. B.; Yarom, A., JHEP, 0601, 098 (2006) |
| [21] | Emparan, R., JHEP, 0606, 012 (2006) |
| [22] | Valtancoli, P. |
| [23] | Jacobson, T. |
| [24] | Frolov, V. P.; Fursaev, D. V.; Zelnikov, A. I., Nucl. Phys. B, 486, 339 (1997) · Zbl 0925.83049 |
| [25] | Frolov, V. P.; Fursaev, D. V., Phys. Rev. D, 56, 2212 (1997) |
| [26] | Cadoni, M.; Mignemi, S., Phys. Rev. D, 51, 4319 (1995) |
| [27] | Cadoni, M.; Mignemi, S., Phys. Rev. D, 59, 081501 (1999) |
| [28] | Cadoni, M.; Mignemi, S., Nucl. Phys. B, 557, 165 (1999) · Zbl 0951.83026 |
| [29] | Cadoni, M.; Cavaglia, M., Phys. Lett. B, 499, 315 (2001) · Zbl 0972.83054 |
| [30] | Cadoni, M.; Cavaglia, M., Phys. Rev. D, 63, 084024 (2001) |
| [31] | Susskind, L.; Uglum, J., Phys. Rev. D, 50, 2700 (1994) |
| [32] | Fursaev, D. V., Phys. Rev. D, 51, 5352 (1995) |
| [33] | Mann, R. B.; Solodukhin, S. N., Nucl. Phys. B, 523, 293 (1998) · Zbl 0953.83015 |
| [34] | Kaul, R. K.; Majumdar, P., Phys. Rev. Lett., 84, 5255 (2000) |
| [35] | Carlip, S., Class. Quantum Grav., 17, 4175 (2000) · Zbl 0970.83026 |
| [36] | Ghosh, A.; Mitra, P., Phys. Rev. Lett., 73, 2521 (1994) · Zbl 1020.83603 |
| [37] | Mukherji, S.; Pal, S. S., JHEP, 0205, 026 (2002) |
| [38] | Setare, M. R., Phys. Lett. B, 573, 173 (2003) · Zbl 1037.83008 |
| [39] | Domagala, M.; Lewandowski, J., Class. Quantum Grav., 21, 5233 (2004) · Zbl 1062.83053 |
| [40] | Medved, A. J.M., Class. Quantum Grav., 22, 133 (2005) · Zbl 1060.83522 |
| [41] | Grumiller, D. |
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