Subleading and non-holomorphic corrections to N = 2 BPS black hole entropy

Journal of High Energy Physics

Volumn 2009, Issue 2, 2009, Pages

  Cardoso, G L ^a   De Wit, B ^b   Mahapatra, S ^c  

^a UNIVERSITY OF MUNICH   (Germany)

^b UTRECHT UNIVERSITY   (Netherlands)

^c UTKAL UNIVERSITY   (India)

Author keywords

Black holes in string theory; Extended supersymmetry; Supersymmetry and duality; Topological strings

Indexed keywords

EID: 67649522644     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2009/02/006     Document Type: Article

References (68)

1. A. Strominger and C. Vafa, Microscopic origin of the Bekenstein-Hawking entropy 1996 Phys. Lett. B 379 99 [hep-th/9601029]
2. J.M. Maldacena, A. Strominger and E. Witten, Black hole entropy in M-theory 1997 J. High Energy Phys. JHEP12(1997)002 [hep-th/9711053]
3. C. Vafa, Black holes and Calabi-Yau threefolds 1998 Adv. Theor. Math. Phys. 2 207 [hep-th/9711067]
4. G.L. Cardoso, B. de Wit and T. Mohaupt, Corrections to macroscopic supersymmetric black-hole entropy 1999 Phys. Lett. B 451 309 [hep-th/9812082]
5. H. Ooguri, A. Strominger and C. Vafa, Black hole attractors and the topological string 2004 Phys. Rev. D 70 106007 [hep-th/0405146]
6. A. Dabholkar, Exact counting of black hole microstates 2005 Phys. Rev. Lett. 94 241301 [hep-th/0409148]
7. H. Ooguri, C. Vafa and E.P. Verlinde, Hartle-Hawking wave-function for flux compactifications 2005 Lett. Math. Phys. 74 311 [hep-th/0502211]
8. A. Dabholkar, F. Denef, G.W. Moore and B. Pioline, Precision counting of small black holes 2005 J. High Energy Phys. JHEP10(2005)096 [hep-th/0507014]
9. D. Shih and X. Yin, Exact black hole degeneracies and the topological string 2006 J. High Energy Phys. JHEP04(2006)034 [hep-th/0508174]
10. V. Pestun, Black hole entropy and topological strings on generalized CY manifolds 2006 J. High Energy Phys. JHEP09(2006)034 [hep-th/0512189]
11. G.L. Cardoso, B. de Wit, J. Käppeli and T. Mohaupt, Black hole partition functions and duality 2006 J. High Energy Phys. JHEP03(2006)074 [hep-th/0601108]
12. 2 to black holes topological strings 2007 J. High Energy Phys. JHEP09(2007)050 [hep-th/0602046]
13. 2, [hep-th/0608021]
14. J. de Boer, M.C.N. Cheng, R. Dijkgraaf, J. Manschot and E. Verlinde, A farey tail for attractor black holes 2006 J. High Energy Phys. JHEP11(2006)024 [hep-th/0608059]
15. F. Denef and G.W. Moore, Split states, entropy enigmas, holes and halos [hep-th/0702146]
16. G.L. Cardoso, B. de Wit and T. Mohaupt, Macroscopic entropy formulae and non-holomorphic corrections for supersymmetric black holes 2000 Nucl. Phys. B 567 87 [hep-th/9906094]
17. E.P. Verlinde, Attractors and the holomorphic anomaly [hep-th/0412139]
18. A. Sen, Black holes, elementary strings and holomorphic anomaly 2005 J. High Energy Phys. JHEP07(2005)063 [hep-th/0502126]
19. G.L. Cardoso, B. de Wit, J. Käppeli and T. Mohaupt, Asymptotic degeneracy of dyonic N = 4 string states and black hole entropy 2004 J. High Energy Phys. JHEP12(2004)075 [hep-th/0412287]
20. D.P. Jatkar and A. Sen, Dyon spectrum in CHL models 2006 J. High Energy Phys. JHEP04(2006)018 [hep-th/0510147]
21. 2 couplings in N = 4 string theory 1998 Phys. Rev. D 57 2323 [hep-th/9610237]
22. J.A. Harvey and G.W. Moore, Exact gravitational threshold correction in the FHSV model 1998 Phys. Rev. D 57 2329 [hep-th/9611176]
23. 2 corrections and non-perturbative dualities of N = 4 string ground states 1998 Nucl. Phys. B 510 423 [hep-th/9708062]
24. M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa, Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes 1994 Comm. Math. Phys. 165 311 [hep-th/9309140] (Pubitemid 24832829)
25. B. de Wit, Variational principles for BPS black hole entropy talk given at Workshop on gravitational aspects of string theory May 2 2005
26. B. de Wit, Supersymmetric black hole partition functions talk given at Strings 05 Toronto July 11 2005 [http://www.fields.utoronto.ca/audio/05-06/ strings/wit/index.html]
27. B. de Wit, BPS black holes 2007 Nucl. Phys. (Proc. Suppl.) 171 16 [0704.1452]
28. A. Dabholkar, F. Denef, G.W. Moore and B. Pioline, Exact and asymptotic degeneracies of small black holes 2005 J. High Energy Phys. JHEP08(2005)021 [hep-th/0502157]
29. S. Ferrara, J.A. Harvey, A. Strominger and C. Vafa, Second quantized mirror symmetry 1995 Phys. Lett. B 361 59 [hep-th/9505162]
30. A. Sen and C. Vafa, Dual pairs of type-II string compactification 1995 Nucl. Phys. B 455 165 [hep-th/9508064]
31. A. Gregori, C. Kounnas and P.M. Petropoulos, Non-perturbative triality in heterotic and type-II N = 2 strings 1999 Nucl. Phys. B 553 108 [hep-th/9901117]
32. J.R. David, On the dyon partition function in N = 2 theories 2008 J. High Energy Phys. JHEP02(2008)025 [0711.1971]
33. I. Antoniadis, E. Gava, K.S. Narain and T.R. Taylor, Topological amplitudes in string theory 1994 Nucl. Phys. B 413 162 [hep-th/9307158]
34. M.K. Gaillard and B. Zumino, Duality rotations for interacting fields 1981 Nucl. Phys. B 193 221
35. B. de Wit, Electric-magnetic duality in supergravity 2001 Nucl. Phys. (Proc. Suppl.) 101 154 [hep-th/0103086]
36. A. Sen, Walls of marginal stability and dyon spectrum in N = 4 supersymmetric string theories 2007 J. High Energy Phys. JHEP05(2007)039 [hep-th/0702141]
37. A. Dabholkar, D. Gaiotto and S. Nampuri, Comments on the spectrum of CHL dyons 2008 J. High Energy Phys. JHEP01(2008)023 [hep-th/0702150]
38. A. Sen, Two centered black holes and N = 4 dyon spectrum 2007 J. High Energy Phys. JHEP09(2007)045 [0705.3874]
39. M.C.N. Cheng and E. Verlinde, Dying dyons don't count 2007 J. High Energy Phys. JHEP09(2007)070 [0706.2363]
40. F. Denef, Supergravity flows and D-brane stability 2000 J. High Energy Phys. JHEP08(2000)050 [hep-th/0005049]
41. F. Denef, B.R. Greene and M. Raugas, Split attractor flows and the spectrum of BPS D-branes on the quintic 2001 J. High Energy Phys. JHEP05(2001)012 [hep-th/0101135]
42. M.-x. Huang, A. Klemm, M. Marĩo and A. Tavanfar, Black holes and large order quantum geometry [0704.2440]
43. S. Ferrara, R. Kallosh and A. Strominger, N = 2 extremal black holes 1995 Phys. Rev. D 52 5412 [hep-th/9508072]
44. A. Strominger, Macroscopic entropy of N = 2 extremal black holes 1996 Phys. Lett. B 383 39 [hep-th/9602111]
45. S. Ferrara and R. Kallosh, Supersymmetry and attractors 1996 Phys. Rev. D 54 1514 [hep-th/9602136]
46. A. Sen, Black hole entropy function and the attractor mechanism in higher derivative gravity 2005 J. High Energy Phys. JHEP09(2005)038 [hep-th/0506177]
47. B. Sahoo and A. Sen, Higher derivative corrections to non-supersymmetric extremal black holes in N = 2 supergravity 2006 J. High Energy Phys. JHEP09(2006)029 [hep-th/0603149]
48. G.L. Cardoso, B. de Wit and S. Mahapatra, Black hole entropy functions and attractor equations 2007 J. High Energy Phys. JHEP03(2007)085 [hep-th/0612225]
49. L.J. Dixon, V. Kaplunovsky and J. Louis, Moduli dependence of string loop corrections to gauge coupling constants 1991 Nucl. Phys. B 355 649
50. K. Behrndt et al., Classical and quantum N = 2 supersymmetric black holes 1997 Nucl. Phys. B 488 236 [hep-th/9610105]
51. B. de Wit and A. Van Proeyen, Potentials and symmetries of general gauged N = 2 supergravity: Yang-Mills models 1984 Nucl. Phys. B 245 89
52. 2 interactions 2000 J. High Energy Phys. JHEP12(2000)019 [hep-th/0009234]
53. B. de Wit, N = 2 electric-magnetic duality in a chiral background 1996 Nucl. Phys. (Proc. Suppl.) 49 191 [hep-th/9602060]
54. B. de Wit, N = 2 symplectic reparametrizations in a chiral background 1996 Fortschr. Phys. 44 529 [hep-th/9603191]
55. R. Dijkgraaf, E.P. Verlinde and H.L. Verlinde, Counting dyons in N = 4 string theory 1997 Nucl. Phys. B 484 543 [hep-th/9607026]
56. D. Shih, A. Strominger and X. Yin, Recounting dyons in N = 4 string theory 2006 J. High Energy Phys. JHEP10(2006)087 [hep-th/0505094]
57. J.R. David and A. Sen, CHL dyons and statistical entropy function from D1-D5 system 2006 J. High Energy Phys. JHEP11(2006)072 [hep-th/0605210]
58. S. Banerjee, A. Sen and Y.K. Srivastava, Generalities of quarter BPS dyon partition function and dyons of torsion two 2008 J. High Energy Phys. JHEP05(2008)101 [0802.0544]
59. 6 2008 J. High Energy Phys. JHEP05(2008)098 [0802.1556]
60. A. Dabholkar, J. Gomes and S. Murthy, Counting all dyons in N = 4 string theory [0803.2692]
61. S. Chaudhuri, G. Hockney and J.D. Lykken, Maximally supersymmetric string theories in D < 10 1995 Phys. Rev. Lett. 75 2264 [hep-th/9505054]
62. T.W. Grimm, A. Klemm, M. Marĩo and M. Weiss, Direct integration of the topological string 2007 J. High Energy Phys. JHEP08(2007)058 [hep-th/0702187]
63. A. Klemm and M. Marĩo, Counting BPS states on the Enriques Calabi-Yau 2008 Comm. Math. Phys. 280 27 [hep-th/0512227]
64. R.E. Borcherds, Automorphic forms with singularities on Grassmannians 1998 Invent. Math. 132 491 [alg-geom/9609022]
65. P.S. Aspinwall and J. Louis, On the ubiquity of K3 fibrations in string duality 1996 Phys. Lett. B 369 233 [hep-th/9510234]
66. A. Ceresole, R. D'Auria and S. Ferrara, The symplectic structure of N = 2 supergravity and its central extension 1996 Nucl. Phys. (Proc. Suppl.) 46 67 [hep-th/9509160]
67. G.L. Cardoso, D. Lüst and T. Mohaupt, Modular symmetries of N = 2 black holes 1996 Phys. Lett. B 388 266 [hep-th/9608099]
68. G.L. Cardoso, J.R. David, B. de Wit and S. Mahapatra, The mixed black hole partition function for the STU model 2008 J. High Energy Phys. JHEP12(2008)086 [0810.1233]