BLACK HOLE ORBITS IN SUPERGRAVITY
Duality symmetries are used to organise symmetry orbits of supergravity black-hole solutions and to display their relation to extremal (i.e. BPS) solutions at the limits of such orbits. An important technique for this analysis uses a timelike dimensional reduction and exchanges the stationary black-hole problem for a nonlinear sigma-model problem. Families of BPS solutions are characterized by nilpotent orbits under the duality symmetries, based upon a tri-graded or penta-graded decomposition of the corresponding duality group algebra.
Keywords: supergravity, black-holes, duality symmetries, sigma-model
References:
[1] G. Neugebaur and D. Kramer, Ann. der Physik (Leipzig) 24 (1969) 62.
[2] P. Breitenlohner, D. Maison and G. W. Gibbons, Commun. Math. Phys. 120 (1988) 295.
[3] G. Clement and D. Gal’tsov, Phys. Rev. D 54 (1996) 6136, [hep-th/9607043]; D. V. Gal’tsov and O. A. Rytchkov, Phys. Rev. D 58 (1998) 122001, [hep-th/9801160].
[4] E. Cremmer and B. Julia, Nucl. Phys. B 159 (1979) 141.
[5] B. de Wit, A. K. Tollsten and H. Nicolai, Nucl. Phys. B 392 (1993) 3 [hep-th/9208074].
[6] P. Meessen and T. Ortin, Nucl. Phys. B 749 (2006) 291 [hep-th/0603099].
[7] M. Cvetiˇc and D. Youm, Phys. Rev. D 53 (1996) 584 [hep-th/9507090].
[8] M. Cvetiˇc and A. A. Tseytlin, Phys. Lett. B 366 (1996) 95 [hep-th/9510097].
[9] J. Eells, Jr. and J. H. Sampson, J. H., Am. J. Math. 86 (1964) 109.
[10] G. Bossard, H. Nicolai and K. S. Stelle, JHEP 0907 (2009) 003 [arXiv:0902.4438 [hep-th]].
[11] J. Ehlers, “Konstruktion und Charakterisierungen von L¨osungen der Einsteinschen Gravitationsgleichungen”, Dissertation, Hamburg (1957).
[12] M. Gunaydin, G. Sierra and P. K. Townsend, Phys. Lett. B 133 (1983) 72.
[13] E. Cremmer, H. Lu, C. N. Pope and K. S. Stelle, Nucl. Phys. B 520 (1998) 132 [hep-th/9707207].
[14] G. Bossard and H. Nicolai, Gen. Rel. Grav. 42 (2010) 509 [arXiv:0906.1987 [hep-th]].
[15] G. Bossard and C. Ruef, Gen. Rel. Grav. 44 (2012) 21 [arXiv:1106.5806 [hep-th]].
Issue: 12, 2014
Series of issue: Issue 12
Pages: 232 — 237
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