Black hole attractors in extended supergravity

AIP Conference Proceedings

Volumn 957, Issue , 2007, Pages 58-68

  Ferrara, Sergio ^a,b,c   Marrani, Alessio ^b,d  

^a CERN   (Switzerland)

^b INFN LABORATORI NAZIONALI DI FRASCATI   (Italy)

^c UNIVERSITY OF CALIFORNIA   (United States)

^d MUSEO STORICO DELLA FISICA E CENTRO STUDI E RICERCHE ENRICO FERMI   (Italy)

Author keywords

Attractors; Black holes; Moduli spaces; Supergravity

Indexed keywords

EID: 39149145334     PISSN: 0094243X     EISSN: 15517616     Source Type: Conference Proceeding    
DOI: 10.1063/1.2823828     Document Type: Conference Paper

References (85)

1. S. Ferrara, R. Kallosh and A. Strominger, N = 2 Extremal Black Holes, Phys. Rev. D52, 5412 (1995), hep-th/9508072.
2. A. Strominger, Macroscopic Entropy of N = 2 Extremal Black Holes, Phys. Lett. B383, 39 (1996), hep-th/9602111.
3. S. Ferrara and R. Kallosh, Supersymmetry and Attractors, Phys. Rev. D54, 1514 (1996), hep-th/9602136.
4. S. Ferrara and R. Kallosh, Universality of Supersymmetric Attractors, Phys. Rev. D54, 1525 (1996), hep-th/9603090.
5. S. Ferrara, G. W. Gibbons and R. Kallosh, Black Holes and Critical Points in Moduli Space, Nucl. Phys. B500, 75 (1997), hep-th/9702103.
6. G. Gibbons, in Unified theories of Elementary Particles. Critical Assessment and Prospects, Proceedings of the Heisemberg Symposium, München, West Germany, 1981, ed. by P. Breitenlohner and H. P. Dürr, Lecture Notes in Physics Vol. 160 (Springer-Verlag, Berlin, 1982);
7. G. W. Gibbons, in Supersymmetry, Supergravity and Related Topics, Proceedings of the XVth GIFT International Physics, Girona, Spain, 1984, ed. by F. del Aguila, J. de Azcárraga and L. Ibáñez, (World Scientific, 1995), pag. 147;
8. P. Breitenlohner, D. Maison and G. W. Gibbons, Four Dimensional Black Holes from Kaluza-klein theories, Commun. Math. Phys. 120, 295 (1988);
9. R. Kallosh, A. D. Linde, T. Ortin, A. W. Peet and A. Van Proeyen, Supersymmetry as a cosmic censor, Phys. Rev. D 46, 5278 (1992), hep-th/9205027;
10. R. Kallosh, T. Ortin and A. W. Peet, Entropy and action of dilaton black holes, Phys. Rev. D 47, 5400 (1993), hep-th/9211015;
11. R. Kallosh, Supersymmetric black holes, Phys. Lett. B 282, 80 (1992), hep-th/9201029;
12. R. Kallosh and A. W. Peet, Dilaton black holes near the horizon, Phys. Rev. D 46, 5223 (1992), hep-th/9209116;
13. R. R. Khuri and T. Ortin, Supersym-metric Black Holes in N = 8 Supergravity, Nucl. Phys. B 467, 355 (1996), hep-th/9512177;
14. A. Sen, Black Hole Solutions In Heterotic String Theory On A Torus, Nucl. Phys. B 440 (1995) 421, hep-th/9411187;
15. A. Sen, Quantization of dyon charge and electric magnetic duality in string theory, Phys. Lett. B 303 (1993) 22, hep-th/9209016;
16. A. Sen, Extremal black holes and elementary string states, Mod. Phys. Lett. A 10 (1995) 2081, hep-th/9504147;
17. M. J. Duff, J. T. Liu and J. Rahmfeld, Four-dimensional string/string/string triality, Nucl. Phys. B459, 125 (1996), hep-th/9508094;
18. M. Cvetic and C. M. Hull, Black Holes and U-Duality, Nucl. Phys. B 480 (1996) 296, hep-th/9606193;
19. M. Cvetic and I. Gaida, Duality Invariant Non-Extreme Black Holes in Toroidally Compactified String Theory, Nucl. Phys. B505 (1997) 291, hep-th/9703134;
20. M. Cvetic and D. Youm, All the Static Spherically Symmetric Black Holes of Heterotic String on a Six Torus, hep-th/9512127;
21. M. Cvetic and A. A. Tseytlin, Solitonic Strings and BPS Saturated Dyonic Black Holes, Phys.Rev. D 53 (1996) 5619.
22. J. D. Bekenstein, Phys. Rev. D7, 2333 (1973);
23. S. W. Hawking, Phys. Rev. Lett. 26, 1344 (1971), in
24. C. DeWitt, B. S. DeWitt, Black Holes (Les Houches 1972) (Gordon and Breach, New York, 1973);
25. S. W. Hawking, Nature 248, 30 (1974);
26. S. W. Hawking, Comm. Math. Phys. 43, 199 (1975).
27. G. Moore, Attractors and Arithmetic, hep-th/9807056;
28. G. Moore, Arithmetic and Attractors, hep-th/9807087;
29. G. Moore, Les Houches Lectures on Strings and Arithmetic, hep-th/0401049.
30. T. Levi-Civita, R.C. Acad. Lincei 26, 519 (1917);
31. B. Bertotti, Uniform Electromagnetic Field in the Theory of General Relativity, Phys. Rev. 116, 1331 (1959);
32. I. Robinson, Bull. Acad. Polon. 7, 351 (1959).
33. D. A. Lowe and A. Strominger, Exact Four-Dimensional Dyonic Black Holes and Bertotti-Robinson Space-Times in String Theory, Phys. Rev. Lett. 73, 1468 (1994), hep-th/9403186.
34. G. W. Gibbons and P. Townsend, Vacuum Interpolation in Supergravity via Super p-Branes, Phys. Rev. Lett. 71, 3754 (1993), hep-th/9307049.
35. A. Sen, Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity, JHEP 09, 038 (2005), hep-th/0506177.
36. K. Goldstein, N. Iizuka, R. P. Jena and S. P. Trivedi, Non-Supersymmetric Attractors, Phys. Rev. D72, 124021 (2005), hep-th/0507096.
37. A. Sen, Entropy Function for Heterotic Black Holes, JHEP 03, 008 (2006), hep-th/0508042.
38. R. Kallosh, New Attractors, JHEP 0512, 022 (2005), hep-th/0510024.
39. P. K. Tripathy and S. P. Trivedi, Non-Supersymmetric Attractors in String Theory, JHEP 0603, 022 (2006), hep-th/0511117.
40. A. Giryavets, New Attractors and Area Codes, JHEP 0603, 020 (2006), hep-th/0511215.
41. K. Goldstein, R. P. Jena, G. Mandal and S. P. Trivedi, A C-Function for Non-Supersymmetric Attractors, JHEP 0602, 053 (2006), hep-th/0512138.
42. M. Alishahiha and H. Ebrahim, Non-supersymmetric attractors and entropy function, JHEP 0603, 003 (2006), hep-th/0601016.
43. R. Kallosh, N. Sivanandam and M. Soroush, The Non-BPS Black Hole Attractor Equation, JHEP 0603, 060 (2006), hep-th/0602005.
44. 2 gravities, JHEP 0608, 004 (2006), hep-th/0602022.
45. J. P. Hsu, A. Maloney and A. Tomasiello, Black Hole Attractors and Pure Spinors, JHEP 0609, 048 (2006), hep-th/0602142.
46. S. Bellucci, S. Ferrara and A. Marrani, On some properties of the Attractor Equations, Phys. Lett. B635, 172 (2006), hep-th/0602161.
47. S. Bellucci, S. Ferrara and A. Marrani, Supersymmetric Mechanics. Vol.2: The Attractor Mechanism and Space-Time Singularities (LNP 701, Springer-Verlag, Heidelberg, 2006).
48. S. Ferrara and R. Kallosh, On N = 8 attractors, Phys. Rev. D 73, 125005 (2006), hep-th/0603247.
49. M. Alishahiha and H. Ebrahim, New attractor, Entropy Function and Black Hole Partition Function, JHEP 0611, 017 (2006), hep-th/0605279.
50. S. Bellucci, S. Ferrara, M. Günaydin and A. Marrani, Charge Orbits of Symmetric Special Geometries and Attractors, Int. J. Mod. Phys. A21, 5043 (2006), hep-th/0606209.
51. D. Astefanesei, K. Goldstein, R. P. Jena, A. Sen and S. P. Trivedi, Rotating Attractors, JHEP 0610, 058 (2006), hep-th/0606244.
52. R. Kallosh, N. Sivanandam and M. Soroush, Exact Attractive non-BPS STU Black Holes, Phys. Rev. D74, 065008 (2006), hep-th/0606263.
53. P. Kaura and A. Misra, On the Existence of Non-Supersymmetric Black Hole Attractors for Two-Parameter Calabi-Yau's and Attractor Equations, hep-th/0607132.
54. G. L. Cardoso, V. Grass, D. Lüst and J. Perz, Extremal non-BPS Black Holes and Entropy Extrem-ization, JHEP 0609, 078 (2006), hep-th/0607202.
55. S. Bellucci, S. Ferrara, A. Marrani and A. Yeranyan, Mirror Fermat Calabi-Yau Threefolds and Landau-Ginzburg Black Hole Attractors, hep-th/0608091.
56. G.L. Cardoso, B. de Wit and S. Mahapatra, Black hole entropy functions and attractor equations, hep-th/0612225.
57. R. D'Auria, S. Ferrara and M. Trigiante, Critical points of the Black-Hole potential for homogeneous special geometries, hep-th/0701090.
58. S. Bellucci, S. Ferrara and A. Marrani, Attractor Horizon Geometries of Extremal Black Holes, Contribution to the Proceedings of the XVII SIGRAV Conference,4-7 September 2006, Turin, Italy, hep-th/0702019.
59. A. Ceresole and G. Dall'Agata, Flow Equations for Non-BPS Extremal Black Holes, JHEP 0703, 110 (2007), hep-th/0702088.
60. L. Andrianopoli, R. D'Auria, S. Ferrara and M. Trigiante, Black Hole Attractors in N = 1 Super-gravity, hep-th/0703178.
61. K. Saraikin and C. Vafa, Non-supersymmetric Black Holes and Topological Strings, hep-th/0703214.
62. S. Ferrara and A. Marrani, N = 8 non-BPS Attractors, Fixed Scalars and Magic Supergravities, Nucl.Phys. B 2007, inpress, ArXiV:0705.3866.
63. S. Nampuri, P. K. Tripathy and S. P. Trivedi, On The Stability of Non-Supersymmetric Attractors in String Theory, ArXiV:0705.4554.
64. L. Andrianopoli, R. D'Auria, E. Orazi, M. Trigiante, First Order Description of Black Holes in Moduli Space, ArXiV:0706.0712.
65. S. Ferrara and A. Marrani, On the Moduli Space of non-BPS Attractors for N = 2 Symmetric Manifolds, Phys. Lett. B 2007, in press, ArXiV:0706.1667.
66. G. L. Cardoso, A. Ceresole, G. Dall'Agata, J. M. Oberreuter, J. Perz, First-order flow equations for extremal black holes in very special geometry, ArXiV:0706.3373.
67. A. Misra and P. Shukla, Area codes', large volume (non-)perturbative alpha-prime and instanton: Corrected non-supersymmetric (A)dS minimum, the 'inverse problem' and 'fake superpotentials'for multiple-singular-loci-two- parameter Calabi-Yau's, ArXiV:0707.0105.
68. A. Ceresole, S. Ferrara and A. Marrani, 4d/5d Correspondence for the Black Hole Potential and its Critical Points, ArXiV:0707.0964.
69. S. Bellucci, A. Marrani, E. Orazi and A. Shcherbakov, Attractors with Vanishing Central Charge, ArXiV:0707.2730.
70. A. Ceresole, R. D'Auria and S. Ferrara, The Symplectic Structure of N = 2 Supergravity and Its Central Extension, Talk given at ICTP Trieste Conference on Physical and Mathematical Implications of Mirror Symmetry in String Theory, Trieste, Italy, 5-9 June 1995, Nucl. Phys. Proc. Suppl. 46 (1996), hep-th/9509160.
71. L. Andrianopoli, R. D'Auria and S. Ferrara, U-duality and central charges in various dimensions revisited, Int. J. Mod. Phys. A13, 431 (1998), hep-th/9612105.
72. L. Andrianopoli, R. D'Auria, S. Ferrara and M. Trigiante, Extremal Black Holes in Supergravity, in: "String Theory and Fundamental Interactions", M. Gasperini and J. Maharana eds. (LNP, Springer, Berlin-Heidelberg, 2007), hep-th/0611345.
73. E. Cremmer and B. Julia, The SO(8) Supergravity, Nucl. Phys. B159, 141 (1979).
74. E. Cartan, Oeuvres complètes (Editions du Centre National de la Recherche Scientifique, Paris, 1984).
75. S. Ferrara, C. A. Savoy and B. Zumino, General Massive Multiples In Extended Supersymmetry, Phys. Lett. B100, 393 (1981).
76. S. Ferrara and J. M. Maldacena, Branes, central charges and U-duality invariant BPS conditions, Class. Quant. Grav. 15, 749 (1998), hep-th/9706097.
77. S. Ferrara and M. Günaydin, Orbits of Exceptional Groups, Duality and BPS States in String Theory, Int. J. Mod. Phys. A13, 2075 (1998), hep-th/9708025.
78. L. Andrianopoli, R. D'Auria and S. Ferrara, U-Invariants, Black-Hole Entropy and Fixed Scalars, Phys. Lett. B403, 12 (1997), hep-th/9703156.
79. S. Ferrara and M. Günaydin, Orbits and attractors for N = 2 Maxwell-Einstein supergravity theories infive dimensions, Nucl. Phys. B759, 1 (2006), hep-th/0606108.
80. M. Günaydin, G. Sierra and P. K. Townsend, The Geometry of N = 2 Maxwell-Einstein Supergravity and Jordan Algebras, Nucl. Phys. B242, 244 (1984).
81. E. Cremmer and A. Van Proeyen, Classification of Kähler Manifolds in N = 2 Vector Multiplet Supergravity Couplings, Class. Quant. Grav. 2, 445 (1985).
82. G. W. Gibbons and C. M. Hull, A Bogomol'ny Bound for General Relativity and Solitons in N = 2 Supergravity, Phys. Lett. B109, 190 (1982).
83. R. Arnowitt, S. Deser and C. W. Misner, The Dynamics of General Relativity, in: "Gravitation: an Introduction to Current Research", L. Witten ed. (Wiley, New York, 1962).
84. S. Ferrara, E. G. Gimon and R. Kallosh, Magic supergravities, N = 8 and black hole composites, Phys. Rev. D74, 125018 (2006), hep-th/0606211.
85. R. Gilmore, Lie Groups, Lie Algebras, and Some of Their Applications (Dover Publications, 2006).