Holographic renormalization group flow dual to attractor flow in extremal black holes

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 79, Issue 10, 2009, Pages

  Hotta, Kyosuke ^a  

^a OSAKA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 66749164198     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.79.104018     Document Type: Article

References (111)

1. J.M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998). 1095-0761
2. S.S. Gubser, I.R. Klebanov, and A.M. Polyakov, Phys. Lett. B 428, 105 (1998). PYLBAJ 0370-2693 10.1016/S0370-2693(98)00377-3
3. E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998). 1095-0761
4. M. Guica, T. Hartman, W. Song, and A. Strominger, arXiv:0809.4266.
5. K. Hotta, Y. Hyakutake, T. Kubota, T. Nishinaka, and H. Tanida, J. High Energy Phys. JHEPFG 1029-8479 01 (2009) 010. 10.1088/1126-6708/2009/01/010
6. H. Lu, J. Mei, and C.N. Pope, J. High Energy Phys. JHEPFG 1029-8479 04 (2009) 054. 10.1088/1126-6708/2009/04/054
7. T. Azeyanagi, N. Ogawa, and S. Terashima, J. High Energy Phys. JHEPFG 1029-8479 04 (2009) 061. 10.1088/1126-6708/2009/04/061
8. T. Hartman, K. Murata, T. Nishioka, and A. Strominger, J. High Energy Phys. JHEPFG 1029-8479 04 (2009) 019. 10.1088/1126-6708/2009/04/019
9. D.D.K. Chow, M. Cvetic, H. Lu, and C.N. Pope, Phys. Rev. D PRVDAQ 1550-7998 79, 084018 (2009). 10.1103/PhysRevD.79.084018
10. H. Isono, T.-S. Tai, and W.-Y. Wen, arXiv:0812.4440.
11. T. Azeyanagi, N. Ogawa, and S. Terashima, arXiv:0812.4883 [Phys. Rev. D (to be published)].
12. J.-J. Peng and S.-Q. Wu, Phys. Lett. B 673, 216 (2009). PYLBAJ 0370-2693 10.1016/j.physletb.2009.02.020
13. A.M. Ghezelbash, arXiv:0901.1670.
14. H. Lu, J. Mei, C.N. Pope, and J. Vazquez-Poritz, Phys. Lett. B 673, 77 (2009). PYLBAJ 0370-2693 10.1016/j.physletb.2009.01.070
15. G. Compere, K. Murata, and T. Nishioka, arXiv:0902.1001.
16. S. Carlip, Phys. Rev. Lett. 82, 2828 (1999); PRLTAO 0031-9007 10.1103/PhysRevLett.82.2828
17. S. Carlip Classical Quantum Gravity CQGRDG 0264-9381 16, 3327 (1999); 10.1088/0264-9381/16/10/322
18. S. Carlip Phys. Rev. Lett. 88, 241301 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.88.241301
19. S.N. Solodukhin, Phys. Lett. B 454, 213 (1999). PYLBAJ 0370-2693 10.1016/S0370-2693(99)00398-6
20. M.-I. Park, Nucl. Phys. NUPBBO 0550-3213 B634, 339 (2002). 10.1016/S0550-3213(02)00292-4
21. G. Kang, J. Koga, and M.-I. Park, Phys. Rev. D PRVDAQ 1550-7998 70, 024005 (2004). 10.1103/PhysRevD.70.024005
22. M. Bañados, C. Teitelboim, and J. Zanelli, Phys. Rev. Lett. 69, 1849 (1992). PRLTAO 0031-9007 10.1103/PhysRevLett.69.1849
23. J.D. Brown and M. Henneaux, Commun. Math. Phys. 104, 207 (1986). CMPHAY 0010-3616 10.1007/BF01211590
24. M. Cadoni and M.R. Setare, J. High Energy Phys. JHEPFG 1029-8479 07 (2008) 131; 10.1088/1126-6708/2008/07/131
25. M. Cadoni, M. Melis, and P. Pani, arXiv:0812.3362.
26. D.Z. Freedman, S.S. Gubser, K. Pilch, and N.P. Warner, Adv. Theor. Math. Phys. 3, 363 (1999). 1095-0761
27. K. Skenderis and P.K. Townsend, Phys. Lett. B 468, 46 (1999). PYLBAJ 0370-2693 10.1016/S0370-2693(99)01212-5
28. J. de Boer, E.P. Verlinde, and H.L. Verlinde, J. High Energy Phys. JHEPFG 1029-8479 08 (2000) 003; 10.1088/1126-6708/2000/08/003
29. E.P. Verlinde and H.L. Verlinde, J. High Energy Phys. JHEPFG 1029-8479 05 (2000) 034. 10.1088/1126-6708/2000/05/034
30. S. Nojiri, S.D. Odintsov, and S. Ogushi, Gravitation Cosmol. GRCOF6 0202-2893 6, 271 (2000);
31. S. Nojiri S.D. Odintsov S. Ogushi Prog. Theor. Phys. 104, 867 (2000); PTPKAV 0033-068X 10.1143/PTP.104.867
32. S. Nojiri S.D. Odintsov S. Ogushi Phys. Lett. B 494, 318 (2000). PYLBAJ 0370-2693 10.1016/S0370-2693(00)01214-4
33. M. Fukuma, S. Matsuura, and T. Sakai, Prog. Theor. Phys. 104, 1089 (2000); PTPKAV 0033-068X 10.1143/PTP.104.1089
34. M. Fukuma S. Matsuura T. Sakai Prog. Theor. Phys. 109, 489 (2003). PTPKAV 0033-068X 10.1143/PTP.109.489
35. A.B. Zamolodchikov, Pis'ma Zh. Eksp. Teor. Fiz. 43, 565 (1986) PZETAB 0370-274X
36. [A.B. Zamolodchikov JETP Lett. 43, 730 (1986)]. JTPLA2 0021-3640
37. S. Ferrara, R. Kallosh, and A. Strominger, Phys. Rev. D PRVDAQ 0556-2821 52, R5412 (1995). 10.1103/PhysRevD.52.R5412
38. S. Ferrara and R. Kallosh, Phys. Rev. D PRVDAQ 0556-2821 54, 1514 (1996); 10.1103/PhysRevD.54.1514
39. S. Ferrara R. Kallosh Phys. Rev. D PRVDAQ 0556-2821 54, 1525 (1996). 10.1103/PhysRevD.54.1525
40. A. Strominger, Phys. Lett. B 383, 39 (1996). PYLBAJ 0370-2693 10.1016/0370-2693(96)00711-3
41. H.K. Kunduri, J. Lucietti, and H.S. Reall, Classical Quantum Gravity CQGRDG 0264-9381 24, 4169 (2007). 10.1088/0264-9381/24/16/012
42. D. Astefanesei and H. Yavartanoo, Nucl. Phys. NUPBBO 0550-3213 B794, 13 (2008). 10.1016/j.nuclphysb.2007.10.015
43. G.W. Gibbons, R. Kallosh, and B. Kol, Phys. Rev. Lett. 77, 4992 (1996). PRLTAO 0031-9007 10.1103/PhysRevLett.77.4992
44. S. Ferrara, G.W. Gibbons, and R. Kallosh, Nucl. Phys. NUPBBO 0550-3213 B500, 75 (1997). 10.1016/S0550-3213(97)00324-6
45. W.A. Sabra, Mod. Phys. Lett. A 12, 2585 (1997); MPLAEQ 0217-7323 10.1142/S0217732397002715
46. W.A. Sabra Nucl. Phys. NUPBBO 0550-3213 B510, 247 (1998); 10.1016/S0550-3213(97)00607-X
47. K. Behrndt, D. Lüst, and W.A. Sabra, Nucl. Phys. NUPBBO 0550-3213 B510, 264 (1998). 10.1016/S0550-3213(97)00633-0
48. K. Behrndt, G.L. Cardoso, B. de Wit, D. Lust, T. Mohaupt, and W.A. Sabra, Phys. Lett. B 429, 289 (1998); PYLBAJ 0370-2693 10.1016/S0370-2693(98)00413-4
49. G.L. Cardoso, B. de Wit, and T. Mohaupt, Phys. Lett. B 451, 309 (1999); PYLBAJ 0370-2693 10.1016/S0370-2693(99)00227-0
50. G.L. Cardoso B. de Wit T. Mohaupt Nucl. Phys. NUPBBO 0550-3213 B567, 87 (2000); 10.1016/S0550-3213(99)00560-X
51. G.L. Cardoso, B. de Wit, J. Kappeli, and T. Mohaupt, J. High Energy Phys. JHEPFG 1029-8479 12 (2000) 019. 10.1088/1126-6708/2000/12/019
52. F. Denef, J. High Energy Phys. JHEPFG 1029-8479 08 (2000) 050; 10.1088/1126-6708/2000/08/050
53. F. Denef, B.R. Greene, and M. Raugas, J. High Energy Phys. JHEPFG 1029-8479 05 (2001) 012; 10.1088/1126-6708/2001/05/012
54. B. Bates and F. Denef, arXiv:hep-th/0304094.
55. K. Goldstein, N. Iizuka, R.P. Jena, and S.P. Trivedi, Phys. Rev. D PRVDAQ 1550-7998 72, 124021 (2005). 10.1103/PhysRevD.72.124021
56. P.K. Tripathy and S.P. Trivedi, J. High Energy Phys. JHEPFG 1029-8479 03 (2006) 022. 10.1088/1126-6708/2006/03/022
57. A. Sen, J. High Energy Phys. JHEPFG 1029-8479 09 (2005) 038; 10.1088/1126-6708/2005/09/038
58. A. Sen J. High Energy Phys. JHEPFG 1029-8479 03 (2006) 008; 10.1088/1126-6708/2006/03/008
59. A. Sen Gen. Relativ. Gravit. GRGVA8 0001-7701 40, 2249 (2008); 10.1007/s10714-008-0626-4
60. D. Astefanesei, K. Goldstein, R.P. Jena, A. Sen, and S.P. Trivedi, J. High Energy Phys. JHEPFG 1029-8479 10 (2006) 058. 10.1088/1126-6708/2006/10/058
61. R. Kallosh, J. High Energy Phys. JHEPFG 1029-8479 12 (2005) 022; 10.1088/1126-6708/2005/12/022
62. R. Kallosh, N. Sivanandam, and M. Soroush, J. High Energy Phys. JHEPFG 1029-8479 03 (2006) 060; 10.1088/1126-6708/2006/03/060
63. R. Kallosh N. Sivanandam M. Soroush Phys. Rev. D PRVDAQ 1550-7998 74, 065008 (2006). 10.1103/PhysRevD.74.065008
64. K. Goldstein, R.P. Jena, G. Mandal, and S.P. Trivedi, J. High Energy Phys. JHEPFG 1029-8479 02 (2006) 053. 10.1088/1126-6708/2006/02/053
65. S. Bellucci, S. Ferrara, and A. Marrani, Phys. Lett. B 635, 172 (2006); PYLBAJ 0370-2693 10.1016/j.physletb.2006.02.053
66. S. Bellucci S. Ferrara A. Marrani Fortschr. Phys. 56, 761 (2008); FPYKA6 0015-8208 10.1002/prop.200810566
67. S. Bellucci, S. Ferrara, A. Marrani, and A. Yeranyan, Riv. Nuovo Cimento Soc. Ital. Fis. RNUCAC 0035-5917 29N5, 1 (2006);
68. S. Bellucci S. Ferrara A. Marrani A. Yeranyan Phys. Rev. D PRVDAQ 1550-7998 77, 085027 (2008); 10.1103/PhysRevD.77.085027
69. S. Bellucci S. Ferrara A. Marrani A. Yeranyan Entropy 10, 507 (2008); ENTRFG 1099-4300 10.3390/e10040507
70. S. Bellucci, S. Ferrara, A. Marrani, and A. Shcherbakov, J. High Energy Phys. JHEPFG 1029-8479 02 (2008) 088; 10.1088/1126-6708/2008/02/088
71. S. Bellucci S. Ferrara A. Marrani A. Shcherbakov Phys. Lett. B 672, 77 (2009). PYLBAJ 0370-2693 10.1016/j.physletb.2008.12.059
72. S. Ferrara and R. Kallosh, Phys. Rev. D PRVDAQ 1550-7998 73, 125005 (2006). 10.1103/PhysRevD.73.125005
73. W. Li and A. Strominger, Phys. Lett. B 659, 407 (2008). PYLBAJ 0370-2693 10.1016/j.physletb.2007.11.016
74. S. Bellucci, S. Ferrara, M. Gunaydin, and A. Marrani, Int. J. Mod. Phys. A 21, 5043 (2006). IMPAEF 0217-751X 10.1142/S0217751X06034355
75. P. Kaura and A. Misra, Fortschr. Phys. 54, 1109 (2006); FPYKA6 0015-8208 10.1002/prop.200610329
76. A. Misra and P. Shukla, Nucl. Phys. NUPBBO 0550-3213 B799, 165 (2008). 10.1016/j.nuclphysb.2008.03.001
77. D. Astefanesei, K. Goldstein, and S. Mahapatra, Gen. Relativ. Gravit. GRGVA8 0001-7701 40, 2069 (2008). 10.1007/s10714-008-0616-6
78. L. Andrianopoli, R. D'Auria, S. Ferrara, and M. Trigiante, Lect. Notes Phys. 737, 661 (2008); LNPHA4 0075-8450 10.1007/978-3-540-74233-3-22
79. L. Andrianopoli R. D'Auria S. Ferrara M. Trigiante J. High Energy Phys. JHEPFG 1029-8479 07 (2007) 019; 10.1088/1126-6708/2007/07/019
80. R. D'Auria, S. Ferrara, and M. Trigiante, J. High Energy Phys. JHEPFG 1029-8479 03 (2007) 097. 10.1088/1126-6708/2007/03/097
81. A. Ceresole and G. Dall'Agata, J. High Energy Phys. JHEPFG 1029-8479 03 (2007) 110; 10.1088/1126-6708/2007/03/110
82. G.L. Cardoso, A. Ceresole, G. Dall'Agata, J.M. Oberreuter, and J. Perz, J. High Energy Phys. JHEPFG 1029-8479 10 (2007) 063. 10.1088/1126-6708/2007/10/ 063
83. M.R. Garousi and A. Ghodsi, J. High Energy Phys. JHEPFG 1029-8479 05 (2007) 043; 10.1088/1126-6708/2007/05/043
84. M.R. Garousi A. Ghodsi J. High Energy Phys. JHEPFG 1029-8479 10 (2007) 036.
85. L. Andrianopoli, R. D'Auria, E. Orazi, and M. Trigiante, J. High Energy Phys. JHEPFG 1029-8479 11 (2007) 032. 10.1088/1126-6708/2007/11/032
86. S. Ferrara and A. Marrani, Nucl. Phys. NUPBBO 0550-3213 B788, 63 (2008); 10.1016/j.nuclphysb.2007.07.028
87. S. Ferrara A. Marrani Phys. Lett. B 652, 111 (2007). PYLBAJ 0370-2693 10.1016/j.physletb.2007.07.001
88. A. Ceresole, S. Ferrara, and A. Marrani, Classical Quantum Gravity CQGRDG 0264-9381 24, 5651 (2007). 10.1088/0264-9381/24/22/023
89. K. Hotta and T. Kubota, Prog. Theor. Phys. 118, 969 (2007). PTPKAV 0033-068X 10.1143/PTP.118.969
90. L. Andrianopoli, S. Ferrara, A. Marrani, and M. Trigiante, Nucl. Phys. NUPBBO 0550-3213 B795, 428 (2007).
91. D. Gaiotto, W. Li, and M. Padi, J. High Energy Phys. JHEPFG 1029-8479 12 (2007) 093. 10.1088/1126-6708/2007/12/093
92. D. Astefanesei, H. Nastase, H. Yavartanoo, and S. Yun, J. High Energy Phys. JHEPFG 1029-8479 04 (2008) 074. 10.1088/1126-6708/2008/04/074
93. S. Bellucci, S. Ferrara, R. Kallosh, and A. Marrani, Lect. Notes Phys. 755, 115 (2008). LNPHA4 0075-8450
94. J. de Boer, F. Denef, S. El-Showk, I. Messamah, and D. Van den Bleeken, J. High Energy Phys. JHEPFG 1029-8479 11 (2008) 050; 10.1088/1126-6708/2008/11/ 050
95. J. de Boer, S. El-Showk, I. Messamah, and D. Van den Bleeken, arXiv:0807.4556.
96. S. Ferrara, K. Hayakawa, and A. Marrani, Fortschr. Phys. 56, 993 (2008); FPYKA6 0015-8208 10.1002/prop.200810569
97. S. Ferrara, A. Gnecchi, and A. Marrani, Phys. Rev. D PRVDAQ 1550-7998 78, 065003 (2008); 10.1103/PhysRevD.78.065003
98. S. Ferrara, A. Marrani, J.F. Morales, and H. Samtleben, Phys. Rev. D PRVDAQ 1550-7998 79, 065031 (2009). 10.1103/PhysRevD.79.065031
99. D. Astefanesei, N. Banerjee, and S. Dutta, J. High Energy Phys. JHEPFG 1029-8479 11 (2008) 070. 10.1088/1126-6708/2008/11/070
100. J. de Boer, J. Manschot, K. Papadodimas, and E. Verlinde, J. High Energy Phys. JHEPFG 1029-8479 03 (2009) 030. 10.1088/1126-6708/2009/03/030
101. T. Kimura, arXiv:0810.0937.
102. J. Perz, P. Smyth, T. Van Riet, and B. Vercnocke, J. High Energy Phys. JHEPFG 1029-8479 03 (2009) 150. 10.1088/1126-6708/2009/03/150
103. M. Gunaydin, G. Sierra, and P.K. Townsend, Nucl. Phys. NUPBBO 0550-3213 B242, 244 (1984); 10.1016/0550-3213(84)90142-1
104. M. Gunaydin G. Sierra P.K. Townsend Nucl. Phys. NUPBBO 0550-3213 B253, 573 (1985). 10.1016/0550-3213(85)90547-4
105. A. Castro, J.L. Davis, P. Kraus, and F. Larsen, Int. J. Mod. Phys. A 23, 613 (2008). IMPAEF 0217-751X 10.1142/S0217751X08039724
106. T. Mohaupt, Fortschr. Phys. 49, 3 (2001). FPYKA6 0015-8208 10.1002/1521-3978(200102)49:1/3<3::AID-PROP3>3.0.CO;2-#
107. K. Hotta, Y. Hyakutake, T. Kubota, and H. Tanida, J. High Energy Phys. JHEPFG 1029-8479 07 (2008) 066. 10.1088/1126-6708/2008/07/066
108. J.M. Maldacena, A. Strominger, and E. Witten, J. High Energy Phys. JHEPFG 1029-8479 12 (1997) 002. 10.1088/1126-6708/1997/12/002
109. T. Regge and C. Teitelboim, Ann. Phys. (N.Y.) 88, 286 (1974). APNYA6 0003-4916 10.1016/0003-4916(74)90404-7
110. E. Witten, arXiv:0706.3359;
111. A. Maloney and E. Witten, arXiv:0712.0155.