Non-extremal black holes of N = 2, d = 4 supergravity

Journal of High Energy Physics

Volumn 2011, Issue 7, 2011, Pages

  Galli, Pietro ^a   Ortín, Tomás ^b   Perz, Jan ^b   Shahbazi, Carlos S ^b  

^a UNIVERSITY OF VALENCIA   (Spain)

^b INSTITUTO DE FÍSICA TEÓRICA UAM CSIC   (Spain)

Author keywords

Black Holes; Black Holes in String Theory; Supergravity Models; Supersymmetry and Duality

Indexed keywords

EID: 80053145940     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP07(2011)041     Document Type: Article

References (81)

1. S. Ferrara, R. Kallosh and A. Strominger, N = 2 extremal black holes, Phys. Rev. D 52 (1995) 5412 [hep-th/9508072] [SPIRES].
2. A. Strominger, Macroscopic Entropy of N = 2 Extremal Black Holes, Phys. Lett. B 383 (1996) 39 [hep-th/9602111] [SPIRES].
3. S. Ferrara and R. Kallosh, Supersymmetry and Attractors, Phys. Rev. D 54 (1996) 1514 [hep-th/9602136] [SPIRES].
4. S. Ferrara and R. Kallosh, Universality of Supersymmetric Attractors, Phys. Rev. D 54 (1996) 1525 [hep-th/9603090] [SPIRES].
5. A. Strominger and C. Vafa, Microscopic Origin of the Bekenstein-Hawking Entropy, Phys. Lett. B 379 (1996) 99 [hep-th/9601029] [SPIRES].
6. G.W. Gibbons and C.M. Hull, A Bogomolny Bound for General Relativity and Solitons in N = 2 Supergravity, Phys. Lett. B 109 (1982) 190 [SPIRES].
7. K.P. Tod, All Metrics Admitting Supercovariantly Constant Spinors, Phys. Lett. B 121 (1983) 241 [SPIRES].
8. K. Behrndt et al., Classical and quantum N = 2 supersymmetric black holes, Nucl. Phys. B 488 (1997) 236 [hep-th/9610105] [SPIRES].
9. W.A. Sabra, General static N = 2 black holes, Mod. Phys. Lett. A 12 (1997) 2585 [hep-th/9703101] [SPIRES].
10. W.A. Sabra, Black holes in N = 2 supergravity theories and harmonic functions, Nucl. Phys. B 510 (1998) 247 [hep-th/9704147] [SPIRES].
11. K. Behrndt, D. Lüst and W.A. Sabra, Stationary solutions of N = 2 supergravity, Nucl. Phys. B 510 (1998) 264 [hep-th/9705169] [SPIRES].
12. G.L. Cardoso, B. de Wit, J. Käppeli and T. Mohaupt, Stationary BPS solutions in N = 2 supergravity with R2 interactions, JHEP 12 (2000) 019 [hep-th/0009234] [SPIRES].
13. F. Denef, Supergravity flows and D-brane stability, JHEP 08 (2000) 050 [hep-th/0005049] [SPIRES].
14. B. Bates and F. Denef, Exact solutions for supersymmetric stationary black hole composites, hep-th/0304094 [SPIRES].
15. M.M. Caldarelli and D. Klemm, All supersymmetric solutions of N = 2, D = 4 gauged supergravity, JHEP 09 (2003) 019 [hep-th/0307022] [SPIRES].
16. P. Meessen and T. Ortín, The supersymmetric configurations of N = 2, D = 4 supergravity coupled to vector supermultiplets, Nucl. Phys. B 749 (2006) 291 [hep-th/0603099] [SPIRES].
17. J. Bellorín, P. Meessen and T. Ortín, Supersymmetry, attractors and cosmic censorship, Nucl. Phys. B 762 (2007) 229 [hep-th/0606201] [SPIRES].
18. M. Hüebscher, P. Meessen, T. Ortín and S. Vaulà, Supersymmetric N = 2 Einstein-Yang-Mills monopoles and covariant attractors, Phys. Rev. D 78 (2008) 065031 [arXiv:0712.1530] [SPIRES].
19. P. Meessen, Supersymmetric coloured/hairy black holes, Phys. Lett. B 665 (2008) 388 [arXiv:0803.0684] [SPIRES].
20. M. Hübscher, P. Meessen, T. Ortín and S. Vaulà, N = 2 Einstein-Yang-Mills's BPS solutions, JHEP 09 (2008) 099 [arXiv:0806.1477] [SPIRES].
21. S.L. Cacciatori, D. Klemm, D.S. Mansi and E. Zorzan, All timelike supersymmetric solutions of N = 2, D = 4 gauged supergravity coupled to abelian vector multiplets, JHEP 05 (2008) 097 [arXiv:0804.0009] [SPIRES].
22. T. Mohaupt, Black hole entropy, special geometry and strings, Fortsch. Phys. 49 (2001) 3 [hep-th/0007195] [SPIRES].
23. G.T. Horowitz and A. Strominger, Counting States of Near-Extremal Black Holes, Phys. Rev. Lett. 77 (1996) 2368 [hep-th/9602051] [SPIRES].
24. M. Cvetič and D. Youm, Entropy of Non-Extreme Charged Rotating Black Holes in String Theory, Phys. Rev. D 54 (1996) 2612 [hep-th/9603147] [SPIRES].
25. D. Kastor and K.Z. Win, Non-extreme Calabi-Yau black holes, Phys. Lett. B 411 (1997) 33 [hep-th/9705090] [SPIRES].
26. K. Behrndt, M. Cvetič and W.A. Sabra, The entropy of near-extreme N = 2 black holes, Phys. Rev. D 58 (1998) 084018 [hep-th/9712221] [SPIRES].
27. G.L. Cardoso and V. Grass, On five-dimensional non-extremal charged black holes and FRW cosmology, Nucl. Phys. B 803 (2008) 209 [arXiv:0803.2819] [SPIRES].
28. 2-Terms, Class. Quant. Grav. 26 (2009) 245019 [arXiv:0902.3799] [SPIRES].
29. 2-Terms, JHEP 05 (2009) 041 [arXiv:0902.0831] [SPIRES].
30. T. Ortín, Extremality versus supersymmetry in stringy black holes, Phys. Lett. B 422 (1998) 93 [hep-th/9612142] [SPIRES].
31. T. Mohaupt and O. Vaughan, Non-extremal Black Holes, Harmonic Functions and Attractor Equations, Class. Quant. Grav. 27 (2010) 235008 [arXiv:1006.3439] [SPIRES].
32. S. Ferrara, G.W. Gibbons and R. Kallosh, Black holes and critical points in moduli space, Nucl. Phys. B 500 (1997) 75 [hep-th/9702103] [SPIRES].
33. R. Kallosh, N. Sivanandam and M. Soroush, Exact attractive non-BPS STU black holes, Phys. Rev. D 74 (2006) 065008 [hep-th/0606263] [SPIRES].
34. G.W. Gibbons, Antigravitating Black Hole Solitons with Scalar Hair in N = 4 Supergravity, Nucl. Phys. B 207 (1982) 337 [SPIRES].
35. G.W. Gibbons, R. Kallosh and B. Kol, Moduli, scalar charges and the first law of black hole thermodynamics, Phys. Rev. Lett. 77 (1996) 4992 [hep-th/9607108] [SPIRES].
36. G.W. Moore, Arithmetic and attractors, hep-th/9807087 [SPIRES].
37. A. Sen, Entropy function for heterotic black holes, JHEP 03 (2006) 008 [hep-th/0508042] [SPIRES].
38. J. Perz, P. Smyth, T. Van Riet and B. Vercnocke, First-order flow equations for extremal and non-extremal black holes, JHEP 03 (2009) 150 [arXiv:0810.1528] [SPIRES].
39. C.M. Miller, K. Schalm and E.J. Weinberg, Nonextremal black holes are BPS, Phys. Rev. D 76 (2007) 044001 [hep-th/0612308] [SPIRES].
40. B. Janssen, P. Smyth, T. Van Riet and B. Vercnocke, A first-order formalism for timelike and spacelike brane solutions, JHEP 04 (2008) 007 [arXiv:0712.2808] [SPIRES].
41. L. Andrianopoli, R. D'Auria, E. Orazi and M. Trigiante, First Order Description of Black Holes in Moduli Space, JHEP 11 (2007) 032 [arXiv:0706.0712] [SPIRES].
42. L. Andrianopoli, R. D'Auria, E. Orazi and M. Trigiante, First Order Description of D = 4 static Black Holes and the Hamilton-Jacobi equation, Nucl. Phys. B 833 (2010) 1 [arXiv:0905.3938] [SPIRES].
43. W. Chemissany et al., Black holes in supergravity and integrability, JHEP 09 (2010) 080 [arXiv:1007.3209] [SPIRES].
44. A. Ceresole and G. Dall'Agata, Flow Equations for Non-BPS Extremal Black Holes, JHEP 03 (2007) 110 [hep-th/0702088] [SPIRES].
45. L. Andrianopoli et al., N = 2 supergravity and N = 2 super Yang-Mills theory on general scalar manifolds: Symplectic covariance, gaugings and the momentum map, J. Geom. Phys. 23 (1997) 111 [hep-th/9605032] [SPIRES].
46. A. Van Proeyen, N = 2 supergravity in d = 4, 5, 6 and its matter couplings, lectures given at the Institut Henri Poincaré, Paris France, November 2000, http://itf.fys.kuleuven.be/~toine/LectParis.pdf.
47. B. de Wit and A. Van Proeyen, Potentials and Symmetries of General Gauged N = 2 Supergravity: Yang-Mills Models, Nucl. Phys. B 245 (1984) 89 [SPIRES].
48. B. de Wit, P.G. Lauwers and A. Van Proeyen, Lagrangians of N = 2 Supergravity - Matter Systems, Nucl. Phys. B 255 (1985) 569 [SPIRES].
49. A. Sen, Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity, JHEP 09 (2005) 038 [hep-th/0506177] [SPIRES].
50. K. Goldstein, N. Iizuka, R.P. Jena and S.P. Trivedi, Non-supersymmetric attractors, Phys. Rev. D 72 (2005) 124021 [hep-th/0507096] [SPIRES].
51. P.K. Tripathy and S.P. Trivedi, Non-Supersymmetric Attractors in String Theory, JHEP 03 (2006) 022 [hep-th/0511117] [SPIRES].
52. R.R. Khuri and T. Ortín, A Non-Supersymmetric Dyonic Extreme Reissner-Nordstrom Black Hole, Phys. Lett. B 373 (1996) 56 [hep-th/9512178] [SPIRES].
53. T. Ortín, Non-supersymmetric (but) extreme black holes, scalar hair and other open problems, proceedings of 33rd Karpacz Winter School of Theoretical Physics "Duality - Strings & Fields, Karpacz Poland (1997), Z. Hasiewicz, Z. Jaskólski and J. Sobczyk eds.
54. [Nucl. Phys. Proc. Suppl. A 61 (1998) 131] [hep-th/9705095] [SPIRES].
55. R. Kallosh, N. Sivanandam and M. Soroush, The non-BPS black hole attractor equation, JHEP 03 (2006) 060 [hep-th/0602005] [SPIRES].
56. E. Lozano-Tellechea and T. Ortín, The general, duality-invariant family of non-BPS blackhole solutions of N = 4, D = 4 supergravity, Nucl. Phys. B 569 (2000) 435 [hep-th/9910020] [SPIRES].
57. D. Garfinkle, G.T. Horowitz and A. Strominger, Charged black holes in string theory, Phys. Rev. D 43 (1991) 3140 [SPIRES].
58. A.D. Shapere, S. Trivedi and F. Wilczek, Dual dilaton dyons, Mod. Phys. Lett. A 6 (1991) 2677 [SPIRES].
59. T. Ortín, Electric-magnetic duality and supersymmetry in stringy black holes, Phys. Rev. D 47 (1993) 3136 [hep-th/9208078] [SPIRES].
60. R. Kallosh and T. Ortín, Charge quantization of axion-dilaton black holes, Phys. Rev. D 48 (1993) 742 [hep-th/9302109] [SPIRES].
61. R. Kallosh, D. Kastor, T. Ortín and T. Torma, Supersymmetry and stationary solutions in dilaton axion gravity, Phys. Rev. D 50 (1994) 6374 [hep-th/9406059] [SPIRES].
62. D.V. Galtsov and O.V. Kechkin, Ehlers-Harrison type transformations in dilaton-axion gravity, Phys. Rev. D 50 (1994) 7394 [hep-th/9407155] [SPIRES].
63. D.V. Galtsov, A.A. Garcia and O.V. Kechkin, Symmetries of the stationary Einstein-Maxwell dilaton-axion theory, J. Math. Phys. 36 (1995) 5023 [SPIRES].
64. M. Rogatko, Stationary axisymmetric axion-dilaton black holes: Mass formulae, Class. Quant. Grav. 11 (1994) 689 [SPIRES]. (Pubitemid 24768565)
65. A. García, D. Galtsov and O. Kechkin, Class of stationary axisymmetric solutions of the Einstein-Maxwell dilaton-axion field equations, Phys. Rev. Lett. 74 (1995) 1276 [SPIRES].
66. M. Rogatko, The Bogomolnyi type bound in axion-dilaton gravity, Class. Quant. Grav. 12 (1995) 3115 [SPIRES].
67. D.V. Galtsov and O.V. Kechkin, U duality and symplectic formulation of dilaton-axion gravity, Phys. Rev. D 54 (1996) 1656 [hep-th/9507005] [SPIRES].
68. I. Bakas, Solitons of axion-dilaton gravity, Phys. Rev. D 54 (1996) 6424 [hep-th/9605043] [SPIRES].
69. E. Bergshoeff, R. Kallosh and T. Ortín, Stationary Axion/Dilaton Solutions and Supersymmetry, Nucl. Phys. B 478 (1996) 156 [hep-th/9605059] [SPIRES].
70. G. Clement and D.V. Galtsov, Stationary BPS solutions to dilaton-axion gravity, Phys. Rev. D 54 (1996) 6136 [hep-th/9607043] [SPIRES].
71. S. Bellucci, S. Ferrara and A. Marrani, On some properties of the attractor equations, Phys. Lett. B 635 (2006) 172 [hep-th/0602161] [SPIRES].
72. G.L. Cardoso, V. Grass, D. Lüst and J. Perz, Extremal non-BPS black holes and entropy extremization, JHEP 09 (2006) 078 [hep-th/0607202] [SPIRES].
73. S. Ferrara and A. Marrani, N = 8 non-BPS Attractors, Fixed Scalars and Magic Supergravities, Nucl. Phys. B 788 (2008) 63 [arXiv:0705.3866] [SPIRES].
74. S. Ferrara and A. Marrani, On the Moduli Space of non-BPS Attractors for N = 2 Symmetric Manifolds, Phys. Lett. B 652 (2007) 111 [arXiv:0706.1667] [SPIRES].
75. R. Kallosh, A.D. Linde, T. Ortín, A.W. Peet and A. Van Proeyen, Supersymmetry as a cosmic censor, Phys. Rev. D 46 (1992) 5278 [hep-th/9205027] [SPIRES].
76. M.J. Duff, J.T. Liu and J. Rahmfeld, Four-dimensional string-string-string triality, Nucl. Phys. B 459 (1996) 125 [hep-th/9508094] [SPIRES].
77. K. Behrndt, R. Kallosh, J. Rahmfeld, M. Shmakova and W.K. Wong, STU black holes and string triality, Phys. Rev. D 54 (1996) 6293 [hep-th/9608059] [SPIRES].
78. S. Bellucci, S. Ferrara, A. Marrani and A. Yeranyan, stu Black Holes Unveiled, arXiv:0807.3503 [SPIRES].
79. S. Ferrara and R. Kallosh, On N = 8 attractors, Phys. Rev. D 73 (2006) 125005 [hep-th/0603247] [SPIRES].
80. M. Shmakova, Calabi-Yau Black Holes, Phys. Rev. D 56 (1997) 540 [hep-th/9612076] [SPIRES].
81. P. Galli, T. Ortín, J. Perz and C.S. Shahbazi, work in progress.