Supersymmetry of gravitational ground states

Journal of High Energy Physics

Volumn 6, Issue 5, 2002, Pages 519-534

  Aros, Rodrigo ^a,b   Martínez, Cristián ^a   Troncoso, Ricardo ^a   Zanelli, Jorge ^a  

^a CENTRO DE ESTUDIOS CIENTÍFICOS CECS   (Chile)

^b UNIVERSIDAD ANDRÉS BELLO   (Chile)

Author keywords

Black Holes; Black Holes in String Theory

Indexed keywords

EID: 23044506961     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2002/05/020     Document Type: Article

References (35)

1. J.P.S. Lemos, Cylindrical black hole in general relativity, Phys. Lett. B 353 (1995) 46 [gr-qc/9404041].
2. L. Vanzo, Black holes with unusual topology, Phys. Rev. D 56 (1997) 6475 [gr-qc/9705004].
3. D.R. Brill, J. Louko and P. Peldan, Thermodynamics of (3 + 1)-dimensional black holes with toroidal or higher genus horizons, Phys. Rev. D 56 (1997) 3600 [gr-qc/9705012].
4. D. Birmingham, Topological black holes in anti-de Sitter space, Class, and Quant. Grav. 16 (1999) 1197 [hep-th/9808032].
5. R.-G. Cai and K.-S. Sob, Topological black holes in the dimensionally continued gravity, Phys. Rev. D 59 (1999) 044013 [gr-qc/9808067].
6. M.M. Caldarelli and D. Klemm, Supersymmetry of anti-de Sitter black holes, Nucl. Phys. B 545 (1999) 434 [hep-th/9808097].
7. R. Emparan, C.V. Johnson and R.C. Myers, Surface terms as counterterms in the AdS/CFT correspondence, Phys. Rev. D 60 (1999) 104001 [hep-th/9903238].
8. G.J. Galloway, K. Schleich, D.M. Witt and E. Woolgar, Topological censorship and higher genus black holes, Phys. Rev. D 60 (1999) 104039 [gr-qc/9902061].
9. R. Aros, R. Troncoso and J. Zanelli, Black holes with topologically nontrivial AdS asymptotics, Phys. Rev. D 63 (2001) 084015 [hep-th/0011097].
10. J.A. Wolf, Spaces of constant curvature, ch. 2, p. 69. Publish or Perish, Wilmington, Delaware (USA), fifth ed., 1984.
11. O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large-N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [hep-th/9905111].
12. E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys. 2 (1998) 505 [hep-th/9803131].
13. S. Deser and C. Teitelboim, Supergravity has positive energy, Phys. Rev. Lett. 39 (1977) 249.
14. R. Schoen and S.-T. Yau, On the proof of the positive mass conjecture in general relativity, Commun. Math. Phys. 65 (1979) 45.
15. E. Witten, A simple proof of the positive energy theorem, Commun. Math. Phys. 80 (1981) 381.
16. M. Berger, Sur les groupes d'holonomie des variétés à connexion affine et des variétés riemanniennes, Bull. Soc. Math. France 83 (1955) 279;
17. Remarques sur le groupe d'holonomie des variétés riemanniennes, C. R. Acad. Sc. Paris. 262 (1966) 1316;
18. See also, S. Weinberg, Elementary differential geometry from a generalized standpoint in proceedings, Physics in higher dimensions, Jerusalem 1984/85, pp. 160-203.
19. R. Troncoso and J. Zanelli, New gauge supergravity in seven and eleven dimensions, Phys. Rev. D 58 (1998) 101703 [hep-th/9710180].
20. R. Troncoso and J. Zanelli, Chern-Simons supergravities with off-shell local superalgebras, in Black holes and the structure of the universe, C. Teitelboim and J. Zanelli eds., Santiago 1997, Singapore, World Scientific 2000, pp. 119-145 [hep-th/9902003].
21. Supergravities in diverse dimensions, A. Salam and E. Sezgin eds., North-Holland, World Scientific, Amsterdam, Netherlands 1989.
22. J.M. Figueroa-O'Farrill, On the supersymmetries of anti de Sitter vacua, Class, and Quant. Grav. 16 (1999) 2043 [hep-th/9902066].
23. M. Wang, Parallel spinors and parallel forms, Ann. Global Anal. Geom. 7 (1989) 59.
24. C. Bär, Real Killing spinors and holonomy, Comm. Math. Phys. 154 (1993) 509.
25. H. Baum, Complete riemannian manifolds with imaginary Killing spinors, Ann. Global Anal. Geom. 7 (1989) 205.
26. S. Kachru and E. Silverstein, 4d conformal theories and strings on orbifolds, Phys. Rev. Lett. 80 (1998) 4855 [hep-th/9802183].
27. E. Witten and S.T. Yau, Connectedness of the boundary in the AdS/CFT correspondence, Adv. Theor. Math. Phys. 3 (1999) 1635 [hep-th/9910245].
28. E. Cremmer, B. Julia and J. Scherk, Supergravity theory in 11 dimensions, Phys. Lett. B 76 (1978) 409.
29. K. Bautier, S. Deser, M. Henneaux and D. Seminara, No cosmological D = 11 supergravity, Phys. Lett. B 406 (1997) 49 [hep-th/9704131].
30. R. Troncoso and J. Zanelli, Gauge supergravities for all odd dimensions, Int. J. Theor. Phys. 38 (1999) 1181 [hep-th/9807029].
31. M. Bañados, A. Gomberoff and C. Martínez, Anti-de Sitter space and black holes, Class, and Quant. Grav. 15 (1998) 3575 [hep-th/9805087].
32. B. Ghosh and S. Mukhi, Killing spinors and supersymmetric AdS orbifolds, J. High Energy Phys. 10 (1999) 021 [hep-th/9908192].
33. A. Kehagias and J.G. Russo, Hyperbolic spaces in string and M-theory, J. High Energy Phys. 07 (2000) 027 [hep-th/0003281].
34. E. Shuster, Killing spinors and supersymmetry on AdS, Nucl. Phys. B 554 (1999) 198 [hep-th/9902129].
35. A. Sen, Extremal black holes and elementary string states, Mod. Phys. Lett. A 10 (1995) 2081 [hep-th/9504147].