On invariant structures of black hole charges

Journal of High Energy Physics

Volumn 2012, Issue 2, 2012, Pages

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

^a CERN   (Switzerland)

^b INFN LABORATORI NAZIONALI DI FRASCATI   (Italy)

^c UNIVERSITY OF CALIFORNIA   (United States)

^d YEREVAN STATE UNIVERSITY   (Armenia)

Author keywords

Black holes in string theory; Extended supersymmetry; Supergravity models

Indexed keywords

EID: 84857837700     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP02(2012)071     Document Type: Article

References (61)

1. A. Sen, Walls of marginal stability and dyon spectrum in N = 4 supersymmetric string theories, JHEP 05 (2007) 039 [hep-th/0702141].
2. A. Sen, Two centered black holes and N = 4 dyon spectrum, JHEP 09 (2007) 045 [arXiv:0705.3874].
3. A. Sen, N = 8 dyon partition function and walls of marginal stability, JHEP 07 (2008) 118 [arXiv:0803.1014].
4. A. Sen, Wall crossing formula for N = 4 dyons: a macroscopic derivation, JHEP 07 (2008) 078 [arXiv:0803.3857].
5. J.R. David, On walls of marginal stability in N = 2 string theories, JHEP 08 (2009) 054 [arXiv:0905.4115].
6. E. Cremmer and B. Julia, The N = 8 supergravity theory. 1. The Lagrangian, Phys. Lett. B 80 (1978) 48 .
7. E. Cremmer and B. Julia, The SO(8) supergravity, Nucl. Phys. B 159 (1979) 141 .
8. C. Hull and P. Townsend, Unity of superstring dualities, Nucl. Phys. B 438 (1995) 109 [hep-th/9410167].
9. S. Ferrara, A. Marrani, E. Orazi, R. Stora and A. Yeranyan, Two-center black holes duality-invariants for STU model and its lower-rank descendants, J. Math. Phys. 52 (2011) 062302 [arXiv:1011.5864].
10. L. Andrianopoli, R. D'Auria, S. Ferrara, A. Marrani and M. Trigiante, Two-centered magical charge orbits, JHEP 04 (2011) 041 [arXiv:1101.3496].
11. A. Ceresole, S. Ferrara, A. Marrani and A. Yeranyan, Small black hole constituents and horizontal symmetry, JHEP 06 (2011) 078 [arXiv:1104.4652].
12. 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].
13. L. Borsten, M. Duff, S. Ferrara, A. Marrani and W. Rubens, Small orbits, arXiv:1108.0424 .
14. L. Borsten, M. Duff, S. Ferrara, A. Marrani and W. Rubens, Explicit orbit classification of reducible Jordan algebras and Freudenthal triple systems, arXiv:1108.0908 .
15. E. Calabi and E. Vesentini, On compact, locally symmetric Kähler manifolds, Ann. Math. 71 (1960) 472.
16. A. Ceresole, R. D'Auria, S. Ferrara and A. Van Proeyen, Duality transformations in supersymmetric Yang-Mills theories coupled to supergravity, Nucl. Phys. B 444 (1995) 92 [hep-th/9502072].
17. M. Cvetiç and D. Youm, Dyonic BPS saturated black holes of heterotic string on a six torus, Phys. Rev. D 53 (1996) 584 [hep-th/9507090].
18. M. Duff, J.T. Liu and J. Rahmfeld, Four-dimensional string-string-string triality, Nucl. Phys. B 459 (1996) 125 [hep-th/9508094].
19. M. Cvetiç and A.A. Tseytlin, General class of BPS saturated dyonic black holes as exact superstring solutions, Phys. Lett. B 366 (1996) 95 [hep-th/9510097].
20. M. Cvetiç 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].
21. A. Marrani, E. Orazi and F. Riccioni, Exceptional reductions, J. Phys. A 44 (2011) 155207 [arXiv:1012.5797].
22. S. Ferrara and J.M. Maldacena, Branes, central charges and U duality invariant BPS conditions, Class. Quant. Grav. 15 (1998) 749 [hep-th/9706097].
23. L. Andrianopoli, R. D'Auria and S. Ferrara, U invariants, black hole entropy and fixed scalars, Phys. Lett. B 403 (1997) 12 [hep-th/9703156].
24. B.L. Cerchiai, S. Ferrara, A. Marrani and B. Zumino, Duality, entropy and ADM mass in supergravity, Phys. Rev. D 79 (2009) 125010 [arXiv:0902.3973].
25. L. Andrianopoli, R. D'Auria, S. Ferrara and M. Trigiante, Fake superpotential for large and small extremal black holes, JHEP 08 (2010) 126 [arXiv:1002.4340].
26. S. Ferrara, A. Marrani and E. Orazi, Split attractor flow in N = 2 minimally coupled supergravity, Nucl. Phys. B 846 (2011) 512 [arXiv:1010.2280].
27. J. Dixmier, On the projective invariants of quartic plane curves, Adv. Math. 64 (1987) 279.
28. S. Ferrara, A. Marrani and A. Yeranyan, Freudenthal duality and generalized special geometry, Phys. Lett. B 701 (2011) 640 [arXiv:1102.4857].
29. 7, J. Reine Angew. Math. 236 (1969) 79.
30. J. Luciani, Coupling of O(2) supergravity with several vector multiplets, Nucl. Phys. B 132 (1978) 325 .
31. S. Ferrara, A. Gnecchi and A. Marrani, D = 4 attractors, effective horizon radius and fake supergravity, Phys. Rev. D 78 (2008) 065003 [arXiv:0806.3196].
32. L. Castellani et al., The complete N = 3 matter coupled supergravity, Nucl. Phys. B 268 (1986) 317 .
33. M. Duff and S. Ferrara, Generalized mirror symmetry and trace anomalies, Class. Quant. Grav. 28 (2011) 065005 [arXiv:1009.4439].
34. S. Ferrara and A. Marrani, Matrix norms, BPS bounds and marginal stability in N = 8 supergravity, JHEP 12 (2010) 038 [arXiv:1009.3251].
35. S. Ferrara, J. Scherk and B. Zumino, Algebraic properties of extended supergravity theories, Nucl. Phys. B 121 (1977) 393 .
36. L. Andrianopoli, R. D'Auria and S. Ferrara, U invariants, black hole entropy and fixed scalars, Phys. Lett. B 403 (1997) 12 [hep-th/9703156].
37. E. Cremmer et al., Vector multiplets coupled to N = 2 supergravity: superHiggs effect, flat potentials and geometric structure, Nucl. Phys. B 250 (1985) 385 .
38. E. Cremmer and A. Van Proeyen, Classification of Kähler manifolds in N = 2 vector multiplet supergravity couplings, Class. Quant. Grav. 2 (1985) 445 .
39. A. Strominger, Special geometry, Commun. Math. Phys. 133 (1990) 163 .
40. A. Ceresole, R. D'Auria and S. Ferrara, The symplectic structure of N = 2 supergravity and its central extension, Nucl. Phys. Proc. Suppl. 46 (1996) 67 [hep-th/9509160].
41. L. Castellani, R. D'Auria and S. Ferrara, Special geometry without special coordinates, Class. Quant. Grav. 7 (1990) 1767 .
42. L. Castellani, R. D'Auria and S. Ferrara, Special Kähler geometry: an intrinsic formulation from N = 2 space-time supersymmetry, Phys. Lett. B 241 (1990) 57 .
43. B. Craps, F. Roose, W. Troost and A. Van Proeyen, What is special Kähler geometry?, Nucl. Phys. B 503 (1997) 565 [hep-th/9703082].
44. S. Bellucci, A. Marrani and R. Roychowdhury, On quantum special Kähler geometry, Int. J. Mod. Phys. A 25 (2010) 1891 [arXiv:0910.4249].
45. S. Bellucci, S. Ferrara, R. Kallosh and A. Marrani, Extremal black hole and flux vacua attractors, Lect. Notes Phys. 755 (2008) 115 [arXiv:0711.4547].
46. V.G. Kac, Some remarks on nilpotent orbits, J. Algebra 64 (1980) 190.
47. S. Cecotti, S. Ferrara and L. Girardello, Geometry of type II superstrings and the moduli of superconformal field theories, Int. J. Mod. Phys. A 4 (1989) 2475 .
48. S. Ferrara and A. Marrani, Symmetric spaces in supergravity, in "Symmetry in Mathematics and Physics", D. Babbitt, V. Vyjayanthi and R. Fioresi eds., Contemporary Mathematics 490, American Mathematical Society, Providence U.S.A. (2009) [arXiv:0808.3567].
49. M. Günaydin, G. Sierra and P. Townsend, Exceptional supergravity theories and the MAGIC square, Phys. Lett. B 133 (1983) 72 .
50. M. Günaydin, G. Sierra and P. Townsend, The geometry of N = 2 Maxwell-Einstein supergravity and Jordan algebras, Nucl. Phys. B 242 (1984) 244 .
51. B. de Wit and H. Nicolai, Extended supergravity with local SO(5) invariance, Nucl. Phys. B 188 (1981) 98 .
52. A. Ceresole, R. D'Auria and T. Regge, Duality group for Calabi-Yau 2 moduli space, Nucl. Phys. B 414 (1994) 517 [hep-th/9307151].
53. L.J. Dixon, V. Kaplunovsky and J. Louis, On effective field theories describing (2, 2) vacua of the heterotic string, Nucl. Phys. B 329 (1990) 27 .
54. S. Ferrara and C. Kounnas, Extended supersymmetry in four-dimensional type II strings, Nucl. Phys. B 328 (1989) 406 .
55. S. Ferrara and P. Fré, Type II superstrings on twisted group manifolds and their heterotic counterparts, Int. J. Mod. Phys. A 5 (1990) 989 .
56. A. Dabholkar and J.A. Harvey, String islands, JHEP 02 (1999) 006 [hep-th/9809122].
57. C. Kounnas and A. Kumar, BPS states in N = 3 superstrings, Nucl. Phys. B 511 (1998) 216 [hep-th/9709061].
58. A.R. Frey and J. Polchinski, N = 3 warped compactifications, Phys. Rev. D 65 (2002) 126009 [hep-th/0201029].
59. S. Ferrara and S. Sabharwal, Quaternionic manifolds for type II superstring vacua of Calabi-Yau spaces, Nucl. Phys. B 332 (1990) 317 .
60. B. de Wit, F. Vanderseypen and A. Van Proeyen, Symmetry structure of special geometries, Nucl. Phys. B 400 (1993) 463 [hep-th/9210068].
61. J. Bagger and E. Witten, Matter couplings in N = 2 supergravity, Nucl. Phys. B 222 (1983) 1 .