Logarithmic corrections to N = 4 and N = 8 black hole entropy: A one loop test of quantum gravity

Journal of High Energy Physics

Volumn 2011, Issue 11, 2011, Pages

  Banerjee, Shamik ^a   Gupta, Rajesh Kumar ^b   Mandal, Ipsita ^c   Sen, Ashoke ^c  

^a STANFORD UNIVERSITY   (United States)

^b UTRECHT UNIVERSITY   (Netherlands)

^c HARISH CHANDRA RESEARCH INSTITUTE   (India)

Author keywords

Black Holes in String Theory; Superstrings and Heterotic Strings

Indexed keywords

EID: 84255197259     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP11(2011)143     Document Type: Article

References (75)

1. R.M. Wald, Black hole entropy is the Noether charge, Phys. Rev. D 48 (1993) 3427 [gr-qc/9307038].
2. T. Jacobson, G. Kang and R.C. Myers, On black hole entropy, Phys. Rev. D 49 (1994) 6587 [gr-qc/9312023].
3. V. Iyer and R.M. Wald, Some properties of Noether charge and a proposal for dynamical black hole entropy, Phys. Rev. D 50 (1994) 846 [gr-qc/9403028].
4. T. Jacobson, G. Kang and R.C. Myers, Black hole entropy in higher curvature gravity, gr-qc/9502009.
5. A. Sen, Black hole entropy function and the attractor mechanism in higher derivative gravity, JHEP 09 (2005) 038 [hep-th/0506177].
6. A. Sen, Entropy function for heterotic black holes, JHEP 03 (2006) 008 [hep-th/0508042].
7. A. Sen, Quantum entropy function from AdS2/CFT1 correspondence, Int. J. Mod. Phys. A 24 (2009) 4225 [arXiv:0809.3304].
8. R. Dijkgraaf, E.P. Verlinde and H.L. Verlinde, Counting dyons in N = 4 string theory, Nucl. Phys. B 484 (1997) 543 [hep-th/9607026].
9. G. Lopes Cardoso, B. de Wit, J. Kappeli and T. Mohaupt, Asymptotic degeneracy of dyonic N = 4 string states and black hole entropy, JHEP 12 (2004) 075 [hep-th/0412287].
10. D. Shih, A. Strominger and X. Yin, Recounting dyons in N = 4 string theory, JHEP 10 (2006) 087 [hep-th/0505094].
11. D. Gaiotto, Re-recounting dyons in N = 4 string theory, hep-th/0506249.
12. D. Shih and X. Yin, Exact black hole degeneracies and the topological string, JHEP 04 (2006) 034 [hep-th/0508174].
13. D.P. Jatkar and A. Sen, Dyon spectrum in CHL models, JHEP 04 (2006) 018 [hep-th/0510147].
14. J.R. David, D.P. Jatkar and A. Sen, Product representation of dyon partition function in CHL models, JHEP 06 (2006) 064 [hep-th/0602254].
15. A. Dabholkar and S. Nampuri, Spectrum of dyons and black holes in CHL orbifolds using Borcherds lift, JHEP 11 (2007) 077 [hep-th/0603066].
16. J.R. David and A. Sen, CHL dyons and statistical entropy function from D1-D5 system, JHEP 11 (2006) 072 [hep-th/0605210].
17. J.R. David, D.P. Jatkar and A. Sen, Dyon spectrum in N = 4 supersymmetric type II string theories, JHEP 11 (2006) 073 [hep-th/0607155].
18. J.R. David, D.P. Jatkar and A. Sen, Dyon spectrum in generic N = 4 supersymmetric ZN orbifolds, JHEP 01 (2007) 016 [hep-th/0609109].
19. A. Dabholkar and D. Gaiotto, Spectrum of CHL dyons from genus-two partition function, JHEP 12 (2007) 087 [hep-th/0612011].
20. A. Sen, Black hole entropy function, attractors and precision counting of microstates, Gen. Rel. Grav. 40 (2008) 2249 [arXiv:0708.1270].
21. S. Banerjee, A. Sen and Y.K. Srivastava, Generalities of quarter BPS dyon partition function and dyons of torsion two, JHEP 05 (2008) 101 [arXiv:0802.0544].
22. S. Banerjee, A. Sen and Y.K. Srivastava, Partition functions of torsion > 1 dyons in heterotic string theory on T6, JHEP 05 (2008) 098 [arXiv:0802.1556].
23. A. Dabholkar, J. Gomes and S. Murthy, Counting all dyons in N = 4 string theory, JHEP 05 (2011) 059 [arXiv:0803.2692].
24. A. Sen, Arithmetic of quantum entropy function, JHEP 08 (2009) 068 [arXiv:0903.1477].
25. A. Dabholkar, J. Gomes, S. Murthy and A. Sen, Supersymmetric index from black hole entropy, JHEP 04 (2011) 034 [arXiv:1009.3226].
26. A. Sen, Arithmetic of N = 8 black holes, JHEP 02 (2010) 090 [arXiv:0908.0039].
27. M. Cvetić and D. Youm, Dyonic BPS saturated black holes of heterotic string on a six torus, Phys. Rev. D 53 (1996) 584 [hep-th/9507090].
28. M. Cvetić and A.A. Tseytlin, Solitonic strings and BPS saturated dyonic black holes, Phys. Rev. D 53 (1996) 5619 [Erratum ibid. D 55 (1997) 3907] [hep-th/9512031].
29. S.N. Solodukhin, The conical singularity and quantum corrections to entropy of black hole, Phys. Rev. D 51 (1995) 609 [hep-th/9407001].
30. S.N. Solodukhin, On 'nongeometric' contribution to the entropy of black hole due to quantum corrections, Phys. Rev. D 51 (1995) 618 [hep-th/9408068].
31. D.V. Fursaev, Temperature and entropy of a quantum black hole and conformal anomaly, Phys. Rev. D 51 (1995) 5352 [hep-th/9412161].
32. R.B. Mann and S.N. Solodukhin, Conical geometry and quantum entropy of a charged Kerr black hole, Phys. Rev. D 54 (1996) 3932 [hep-th/9604118].
33. R.B. Mann and S.N. Solodukhin, Universality of quantum entropy for extreme black holes, Nucl. Phys. B 523 (1998) 293 [hep-th/9709064].
34. R.K. Kaul and P. Majumdar, Logarithmic correction to the Bekenstein-Hawking entropy, Phys. Rev. Lett. 84 (2000) 5255 [gr-qc/0002040].
35. S. Carlip, Logarithmic corrections to black hole entropy from the Cardy formula, Class. Quant. Grav. 17 (2000) 4175 [gr-qc/0005017].
36. T. Govindarajan, R. Kaul and V. Suneeta, Logarithmic correction to the Bekenstein-Hawking entropy of the BTZ black hole, Class. Quant. Grav. 18 (2001) 2877 [gr-qc/0104010].
37. K.S. Gupta and S. Sen, Further evidence for the conformal structure of a Schwarzschild black hole in an algebraic approach, Phys. Lett. B 526 (2002) 121 [hep-th/0112041].
38. A. Medved, A comment on black hole entropy or does nature abhor a logarithm?, Class. Quant. Grav. 22 (2005) 133 [gr-qc/0406044].
39. D.N. Page, Hawking radiation and black hole thermodynamics, New J. Phys. 7 (2005) 203 [hep-th/0409024].
40. R. Banerjee and B.R. Majhi, Quantum tunneling beyond semiclassical approximation, JHEP 06 (2008) 095 [arXiv:0805.2220].
41. R. Banerjee and B.R. Majhi, Quantum tunneling, trace anomaly and effective metric, Phys. Lett. B 674 (2009) 218 [arXiv:0808.3688].
42. B.R. Majhi, Fermion tunneling beyond semiclassical approximation, Phys. Rev. D 79 (2009) 044005 [arXiv:0809.1508].
43. R.-G. Cai, L.-M. Cao and N. Ohta, Black holes in gravity with conformal anomaly and logarithmic term in black hole entropy, JHEP 04 (2010) 082 [arXiv:0911.4379].
44. R. Aros, D. Diaz and A. Montecinos, Logarithmic correction to BH entropy as Noether charge, JHEP 07 (2010) 012 [arXiv:1003.1083].
45. S.N. Solodukhin, Entanglement entropy of round spheres, Phys. Lett. B 693 (2010) 605 [arXiv:1008.4314].
46. S. Banerjee, R.K. Gupta and A. Sen, Logarithmic corrections to extremal black hole entropy from quantum entropy function, JHEP 03 (2011) 147 [arXiv:1005.3044].
47. S. Giombi, A. Maloney and X. Yin, One-loop partition functions of 3D gravity, JHEP 08 (2008) 007 [arXiv:0804.1773].
48. J.R. David, M.R. Gaberdiel and R. Gopakumar, The heat kernel on AdS3 and its applications, JHEP 04 (2010) 125 [arXiv:0911.5085].
49. M.R. Gaberdiel, R. Gopakumar and A. Saha, Quantum W-symmetry in AdS3, JHEP 02 (2011) 004 [arXiv:1009.6087].
50. P.B. Gilkey, Invariance theory, the heat equation and the Atiyah-Singer index theorem, Publish or Perish Inc., U.S.A. (1984).
51. D. Vassilevich, Heat kernel expansion: user's manual, Phys. Rept. 388 (2003) 279 [hep-th/0306138].
52. A. Sen, Entropy function and AdS2/CFT1 correspondence, JHEP 11 (2008) 075 [arXiv:0805.0095].
53. C. Beasley, D. Gaiotto, M. Guica, L. Huang, A. Strominger, et al., Why ZBH = |Ztop|2, hep-th/0608021.
54. N. Banerjee, S. Banerjee, R.K. Gupta, I. Mandal and A. Sen, Supersymmetry, localization and quantum entropy function, JHEP 02 (2010) 091 [arXiv:0905.2686].
55. A. Dabholkar, J. Gomes and S. Murthy, Quantum black holes, localization and the topological string, JHEP 06 (2011) 019 [arXiv:1012.0265].
56. A. Dabholkar, J. Gomes and S. Murthy, Localization & exact holography, arXiv:1111.1161.
57. A. Sen and C. Vafa, Dual pairs of type-II string compactification, Nucl. Phys. B 455 (1995) 165 [hep-th/9508064].
58. A. Gregori, C. Kounnas and P. Petropoulos, Nonperturbative triality in heterotic and type-II N = 2 strings, Nucl. Phys. B 553 (1999) 108 [hep-th/9901117].
59. J.R. David, On the dyon partition function in N = 2 theories, JHEP 02 (2008) 025 [arXiv:0711.1971].
60. H. Ooguri, A. Strominger and C. Vafa, Black hole attractors and the topological string, Phys. Rev. D 70 (2004) 106007 [hep-th/0405146].
61. G. Cardoso, B. de Wit and S. Mahapatra, Subleading and non-holomorphic corrections to N = 2 BPS black hole entropy, JHEP 02 (2009) 006 [arXiv:0808.2627].
62. F. Denef and G.W. Moore, Split states, entropy enigmas, holes and halos, hep-th/0702146.
63. A. Sen, Logarithmic corrections to N = 2 black hole entropy: an infrared window into the microstates, arXiv:1108.3842.
64. S. Christensen and M. Duff, New gravitational index theorems and supertheorems, Nucl. Phys. B 154 (1979) 301.
65. S. Christensen and M. Duff, Quantizing gravity with a cosmological constant, Nucl. Phys. B 170 (1980) 480.
66. M. Duff and P. van Nieuwenhuizen, Quantum inequivalence of different field representations, Phys. Lett. B 94 (1980) 179.
67. S. Christensen, M. Duff, G. Gibbons and M. Roćek, Vanishing one loop β-function in gauged N > 4 supergravity, Phys. Rev. Lett. 45 (1980) 161.
68. R. Camporesi, Harmonic analysis and propagators on homogeneous spaces, Phys. Rept. 196 (1990) 1.
69. R. Camporesi and A. Higuchi, Spectral functions and ζ functions in hyperbolic spaces, J. Math. Phys. 35 (1994) 4217.
70. R. Camporesi, The spinor heat kernel in maximally symmetric spaces, Commun. Math. Phys. 148 (1992) 283.
71. R. Camporesi and A. Higuchi, Arbitrary spin effective potentials in anti-de Sitter space-time, Phys. Rev. D 47 (1993) 3339.
72. R. Camporesi and A. Higuchi, On the eigen functions of the Dirac operator on spheres and real hyperbolic spaces, J. Geom. Phys. 20 (1996) 1 [gr-qc/9505009].
73. G. Cardoso, J. David, B. de Wit and S. Mahapatra, The mixed black hole partition function for the STU model, JHEP 12 (2008) 086 [arXiv:0810.1233].
74. J.R. David, On walls of marginal stability in N = 2 string theories, JHEP 08 (2009) 054 [arXiv:0905.4115].
75. S. Ferrara, J.A. Harvey, A. Strominger and C. Vafa, Second quantized mirror symmetry, Phys. Lett. B 361 (1995) 59 [hep-th/9505162].