Duality, central charges and entropy of extremal BPS black holes

Nuclear Physics B - Proceedings Supplements

Volumn 68, Issue 1-3, 1998, Pages 185-196

  Andrianopoli, L ^a   D'Auria, R ^b   Ferrara, S ^c  

^a UNIVERSITY OF GENOA   (Italy)

^b POLITECNICO DI TORINO   (Italy)

^c CERN   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032209758     PISSN: 09205632     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0920-5632(98)00152-2     Document Type: Article

References (64)

1. 1. For a review, see for instance: M. J. Duff, R. R. Khuri and J. X. Lu, String solitons, Phys. Rep. 259 (1995) 213; M. J. Duff, Kaluza-Klein theory in perspective, in Proceedings of the Nobel Symposium Oskar Klein Centenary, Stockholm, September 1994 (World Scientific, 1995), E. Lindstrom editor, hep-th/9410046; G. Horowitz, UCSBTH-96-07, gr-qc/9604051; J. M. Maldacena, Ph.D. thesis, hep-th/9607235; M. Cvetic, UPR-714-T, hep-th/9701152
2. 1. For a review, see for instance: M. J. Duff, R. R. Khuri and J. X. Lu, String solitons, Phys. Rep. 259 (1995) 213; M. J. Duff, Kaluza-Klein theory in perspective, in Proceedings of the Nobel Symposium Oskar Klein Centenary, Stockholm, September 1994 (World Scientific, 1995), E. Lindstrom editor, hep-th/9410046; G. Horowitz, UCSBTH-96-07, gr-qc/9604051; J. M. Maldacena, Ph.D. thesis, hep-th/9607235; M. Cvetic, UPR-714-T, hep-th/9701152
3. 1. For a review, see for instance: M. J. Duff, R. R. Khuri and J. X. Lu, String solitons, Phys. Rep. 259 (1995) 213; M. J. Duff, Kaluza-Klein theory in perspective, in Proceedings of the Nobel Symposium Oskar Klein Centenary, Stockholm, September 1994 (World Scientific, 1995), E. Lindstrom editor, hep-th/9410046; G. Horowitz, UCSBTH-96-07, gr-qc/9604051; J. M. Maldacena, Ph.D. thesis, hep-th/9607235; M. Cvetic, UPR-714-T, hep-th/9701152
4. 1. For a review, see for instance: M. J. Duff, R. R. Khuri and J. X. Lu, String solitons, Phys. Rep. 259 (1995) 213; M. J. Duff, Kaluza-Klein theory in perspective, in Proceedings of the Nobel Symposium Oskar Klein Centenary, Stockholm, September 1994 (World Scientific, 1995), E. Lindstrom editor, hep-th/9410046; G. Horowitz, UCSBTH-96-07, gr-qc/9604051; J. M. Maldacena, Ph.D. thesis, hep-th/9607235; M. Cvetic, UPR-714-T, hep-th/9701152
5. 1. For a review, see for instance: M. J. Duff, R. R. Khuri and J. X. Lu, String solitons, Phys. Rep. 259 (1995) 213; M. J. Duff, Kaluza-Klein theory in perspective, in Proceedings of the Nobel Symposium Oskar Klein Centenary, Stockholm, September 1994 (World Scientific, 1995), E. Lindstrom editor, hep-th/9410046; G. Horowitz, UCSBTH-96-07, gr-qc/9604051; J. M. Maldacena, Ph.D. thesis, hep-th/9607235; M. Cvetic, UPR-714-T, hep-th/9701152
6. 2. 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); G. W. Gibbons and C. M. Hull, Phys. lett. 109B (1982) 190; 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; R. Kallosh, A. Linde, T. Ortin, A. Peet and A. Van Proeyen, Phys. Rev. D46 (1992) 5278; R. Kallosh, T. Ortin and A. Peet, Phys. Rev. D47 (1993) 5400; R. Kallosh, Phys. Lett. B282 (1992) 80; R. Kallosh and A. Peet, Phys. Rev. D46 (1992) 5223; A. Sen, Nucl. Phys. B440 (1995) 421; Phys. Lett. B303 (1993) 221; Mod. Phys. Lett. A10 (1995) 2081; J. Schwarz and A. Sen, Phys. Lett. B312 (1993) 105; M. Cvetic and D. Youm, Phys. Rev. D53 (1996) 584; M. Cvetic and A. A. Tseytlin, Phys. Rev. D53 (1996) 5619; M. Cvetic and C. M. Hull, Nucl. Phys. B480 (1996) 296
7. 2. 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); G. W. Gibbons and C. M. Hull, Phys. lett. 109B (1982) 190; 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; R. Kallosh, A. Linde, T. Ortin, A. Peet and A. Van Proeyen, Phys. Rev. D46 (1992) 5278; R. Kallosh, T. Ortin and A. Peet, Phys. Rev. D47 (1993) 5400; R. Kallosh, Phys. Lett. B282 (1992) 80; R. Kallosh and A. Peet, Phys. Rev. D46 (1992) 5223; A. Sen, Nucl. Phys. B440 (1995) 421; Phys. Lett. B303 (1993) 221; Mod. Phys. Lett. A10 (1995) 2081; J. Schwarz and A. Sen, Phys. Lett. B312 (1993) 105; M. Cvetic and D. Youm, Phys. Rev. D53 (1996) 584; M. Cvetic and A. A. Tseytlin, Phys. Rev. D53 (1996) 5619; M. Cvetic and C. M. Hull, Nucl. Phys. B480 (1996) 296
8. 2. 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); G. W. Gibbons and C. M. Hull, Phys. lett. 109B (1982) 190; 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; R. Kallosh, A. Linde, T. Ortin, A. Peet and A. Van Proeyen, Phys. Rev. D46 (1992) 5278; R. Kallosh, T. Ortin and A. Peet, Phys. Rev. D47 (1993) 5400; R. Kallosh, Phys. Lett. B282 (1992) 80; R. Kallosh and A. Peet, Phys. Rev. D46 (1992) 5223; A. Sen, Nucl. Phys. B440 (1995) 421; Phys. Lett. B303 (1993) 221; Mod. Phys. Lett. A10 (1995) 2081; J. Schwarz and A. Sen, Phys. Lett. B312 (1993) 105; M. Cvetic and D. Youm, Phys. Rev. D53 (1996) 584; M. Cvetic and A. A. Tseytlin, Phys. Rev. D53 (1996) 5619; M. Cvetic and C. M. Hull, Nucl. Phys. B480 (1996) 296
9. 2. 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); G. W. Gibbons and C. M. Hull, Phys. lett. 109B (1982) 190; 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; R. Kallosh, A. Linde, T. Ortin, A. Peet and A. Van Proeyen, Phys. Rev. D46 (1992) 5278; R. Kallosh, T. Ortin and A. Peet, Phys. Rev. D47 (1993) 5400; R. Kallosh, Phys. Lett. B282 (1992) 80; R. Kallosh and A. Peet, Phys. Rev. D46 (1992) 5223; A. Sen, Nucl. Phys. B440 (1995) 421; Phys. Lett. B303 (1993) 221; Mod. Phys. Lett. A10 (1995) 2081; J. Schwarz and A. Sen, Phys. Lett. B312 (1993) 105; M. Cvetic and D. Youm, Phys. Rev. D53 (1996) 584; M. Cvetic and A. A. Tseytlin, Phys. Rev. D53 (1996) 5619; M. Cvetic and C. M. Hull, Nucl. Phys. B480 (1996) 296
10. 2. 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); G. W. Gibbons and C. M. Hull, Phys. lett. 109B (1982) 190; 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; R. Kallosh, A. Linde, T. Ortin, A. Peet and A. Van Proeyen, Phys. Rev. D46 (1992) 5278; R. Kallosh, T. Ortin and A. Peet, Phys. Rev. D47 (1993) 5400; R. Kallosh, Phys. Lett. B282 (1992) 80; R. Kallosh and A. Peet, Phys. Rev. D46 (1992) 5223; A. Sen, Nucl. Phys. B440 (1995) 421; Phys. Lett. B303 (1993) 221; Mod. Phys. Lett. A10 (1995) 2081; J. Schwarz and A. Sen, Phys. Lett. B312 (1993) 105; M. Cvetic and D. Youm, Phys. Rev. D53 (1996) 584; M. Cvetic and A. A. Tseytlin, Phys. Rev. D53 (1996) 5619; M. Cvetic and C. M. Hull, Nucl. Phys. B480 (1996) 296
11. 2. 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); G. W. Gibbons and C. M. Hull, Phys. lett. 109B (1982) 190; 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; R. Kallosh, A. Linde, T. Ortin, A. Peet and A. Van Proeyen, Phys. Rev. D46 (1992) 5278; R. Kallosh, T. Ortin and A. Peet, Phys. Rev. D47 (1993) 5400; R. Kallosh, Phys. Lett. B282 (1992) 80; R. Kallosh and A. Peet, Phys. Rev. D46 (1992) 5223; A. Sen, Nucl. Phys. B440 (1995) 421; Phys. Lett. B303 (1993) 221; Mod. Phys. Lett. A10 (1995) 2081; J. Schwarz and A. Sen, Phys. Lett. B312 (1993) 105; M. Cvetic and D. Youm, Phys. Rev. D53 (1996) 584; M. Cvetic and A. A. Tseytlin, Phys. Rev. D53 (1996) 5619; M. Cvetic and C. M. Hull, Nucl. Phys. B480 (1996) 296
12. 2. 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); G. W. Gibbons and C. M. Hull, Phys. lett. 109B (1982) 190; 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; R. Kallosh, A. Linde, T. Ortin, A. Peet and A. Van Proeyen, Phys. Rev. D46 (1992) 5278; R. Kallosh, T. Ortin and A. Peet, Phys. Rev. D47 (1993) 5400; R. Kallosh, Phys. Lett. B282 (1992) 80; R. Kallosh and A. Peet, Phys. Rev. D46 (1992) 5223; A. Sen, Nucl. Phys. B440 (1995) 421; Phys. Lett. B303 (1993) 221; Mod. Phys. Lett. A10 (1995) 2081; J. Schwarz and A. Sen, Phys. Lett. B312 (1993) 105; M. Cvetic and D. Youm, Phys. Rev. D53 (1996) 584; M. Cvetic and A. A. Tseytlin, Phys. Rev. D53 (1996) 5619; M. Cvetic and C. M. Hull, Nucl. Phys. B480 (1996) 296
13. 2. 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); G. W. Gibbons and C. M. Hull, Phys. lett. 109B (1982) 190; 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; R. Kallosh, A. Linde, T. Ortin, A. Peet and A. Van Proeyen, Phys. Rev. D46 (1992) 5278; R. Kallosh, T. Ortin and A. Peet, Phys. Rev. D47 (1993) 5400; R. Kallosh, Phys. Lett. B282 (1992) 80; R. Kallosh and A. Peet, Phys. Rev. D46 (1992) 5223; A. Sen, Nucl. Phys. B440 (1995) 421; Phys. Lett. B303 (1993) 221; Mod. Phys. Lett. A10 (1995) 2081; J. Schwarz and A. Sen, Phys. Lett. B312 (1993) 105; M. Cvetic and D. Youm, Phys. Rev. D53 (1996) 584; M. Cvetic and A. A. Tseytlin, Phys. Rev. D53 (1996) 5619; M. Cvetic and C. M. Hull, Nucl. Phys. B480 (1996) 296
14. 2. 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); G. W. Gibbons and C. M. Hull, Phys. lett. 109B (1982) 190; 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; R. Kallosh, A. Linde, T. Ortin, A. Peet and A. Van Proeyen, Phys. Rev. D46 (1992) 5278; R. Kallosh, T. Ortin and A. Peet, Phys. Rev. D47 (1993) 5400; R. Kallosh, Phys. Lett. B282 (1992) 80; R. Kallosh and A. Peet, Phys. Rev. D46 (1992) 5223; A. Sen, Nucl. Phys. B440 (1995) 421; Phys. Lett. B303 (1993) 221; Mod. Phys. Lett. A10 (1995) 2081; J. Schwarz and A. Sen, Phys. Lett. B312 (1993) 105; M. Cvetic and D. Youm, Phys. Rev. D53 (1996) 584; M. Cvetic and A. A. Tseytlin, Phys. Rev. D53 (1996) 5619; M. Cvetic and C. M. Hull, Nucl. Phys. B480 (1996) 296
15. 2. 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); G. W. Gibbons and C. M. Hull, Phys. lett. 109B (1982) 190; 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; R. Kallosh, A. Linde, T. Ortin, A. Peet and A. Van Proeyen, Phys. Rev. D46 (1992) 5278; R. Kallosh, T. Ortin and A. Peet, Phys. Rev. D47 (1993) 5400; R. Kallosh, Phys. Lett. B282 (1992) 80; R. Kallosh and A. Peet, Phys. Rev. D46 (1992) 5223; A. Sen, Nucl. Phys. B440 (1995) 421; Phys. Lett. B303 (1993) 221; Mod. Phys. Lett. A10 (1995) 2081; J. Schwarz and A. Sen, Phys. Lett. B312 (1993) 105; M. Cvetic and D. Youm, Phys. Rev. D53 (1996) 584; M. Cvetic and A. A. Tseytlin, Phys. Rev. D53 (1996) 5619; M. Cvetic and C. M. Hull, Nucl. Phys. B480 (1996) 296
16. 2. 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); G. W. Gibbons and C. M. Hull, Phys. lett. 109B (1982) 190; 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; R. Kallosh, A. Linde, T. Ortin, A. Peet and A. Van Proeyen, Phys. Rev. D46 (1992) 5278; R. Kallosh, T. Ortin and A. Peet, Phys. Rev. D47 (1993) 5400; R. Kallosh, Phys. Lett. B282 (1992) 80; R. Kallosh and A. Peet, Phys. Rev. D46 (1992) 5223; A. Sen, Nucl. Phys. B440 (1995) 421; Phys. Lett. B303 (1993) 221; Mod. Phys. Lett. A10 (1995) 2081; J. Schwarz and A. Sen, Phys. Lett. B312 (1993) 105; M. Cvetic and D. Youm, Phys. Rev. D53 (1996) 584; M. Cvetic and A. A. Tseytlin, Phys. Rev. D53 (1996) 5619; M. Cvetic and C. M. Hull, Nucl. Phys. B480 (1996) 296
17. 2. 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); G. W. Gibbons and C. M. Hull, Phys. lett. 109B (1982) 190; 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; R. Kallosh, A. Linde, T. Ortin, A. Peet and A. Van Proeyen, Phys. Rev. D46 (1992) 5278; R. Kallosh, T. Ortin and A. Peet, Phys. Rev. D47 (1993) 5400; R. Kallosh, Phys. Lett. B282 (1992) 80; R. Kallosh and A. Peet, Phys. Rev. D46 (1992) 5223; A. Sen, Nucl. Phys. B440 (1995) 421; Phys. Lett. B303 (1993) 221; Mod. Phys. Lett. A10 (1995) 2081; J. Schwarz and A. Sen, Phys. Lett. B312 (1993) 105; M. Cvetic and D. Youm, Phys. Rev. D53 (1996) 584; M. Cvetic and A. A. Tseytlin, Phys. Rev. D53 (1996) 5619; M. Cvetic and C. M. Hull, Nucl. Phys. B480 (1996) 296
18. 2. 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); G. W. Gibbons and C. M. Hull, Phys. lett. 109B (1982) 190; 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; R. Kallosh, A. Linde, T. Ortin, A. Peet and A. Van Proeyen, Phys. Rev. D46 (1992) 5278; R. Kallosh, T. Ortin and A. Peet, Phys. Rev. D47 (1993) 5400; R. Kallosh, Phys. Lett. B282 (1992) 80; R. Kallosh and A. Peet, Phys. Rev. D46 (1992) 5223; A. Sen, Nucl. Phys. B440 (1995) 421; Phys. Lett. B303 (1993) 221; Mod. Phys. Lett. A10 (1995) 2081; J. Schwarz and A. Sen, Phys. Lett. B312 (1993) 105; M. Cvetic and D. Youm, Phys. Rev. D53 (1996) 584; M. Cvetic and A. A. Tseytlin, Phys. Rev. D53 (1996) 5619; M. Cvetic and C. M. Hull, Nucl. Phys. B480 (1996) 296
19. 2. 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); G. W. Gibbons and C. M. Hull, Phys. lett. 109B (1982) 190; 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; R. Kallosh, A. Linde, T. Ortin, A. Peet and A. Van Proeyen, Phys. Rev. D46 (1992) 5278; R. Kallosh, T. Ortin and A. Peet, Phys. Rev. D47 (1993) 5400; R. Kallosh, Phys. Lett. B282 (1992) 80; R. Kallosh and A. Peet, Phys. Rev. D46 (1992) 5223; A. Sen, Nucl. Phys. B440 (1995) 421; Phys. Lett. B303 (1993) 221; Mod. Phys. Lett. A10 (1995) 2081; J. Schwarz and A. Sen, Phys. Lett. B312 (1993) 105; M. Cvetic and D. Youm, Phys. Rev. D53 (1996) 584; M. Cvetic and A. A. Tseytlin, Phys. Rev. D53 (1996) 5619; M. Cvetic and C. M. Hull, Nucl. Phys. B480 (1996) 296
20. 3. A. Strominger and C. Vafa, Phys. Lett. B379 (1996) 99; C. G. Callan and J. M. Maldacena, Nucl. Phys. B472 (1996) 591; G. Horowitz and A. Strominger, Phys. Rev. Lett, B383 (1996) 2368, hep-th/9602051; R. Dijkgraaf, E. Verlinde, H. Verlinde, Nucl.Phys. B486 (1997) 77; P. M. Kaplan, D. A. Lowe, J. M. Maldacena and A. Strominger, hep-th/9609204; J. M. Maldacena, hep-th/9611163
21. 3. A. Strominger and C. Vafa, Phys. Lett. B379 (1996) 99; C. G. Callan and J. M. Maldacena, Nucl. Phys. B472 (1996) 591; G. Horowitz and A. Strominger, Phys. Rev. Lett, B383 (1996) 2368, hep-th/9602051; R. Dijkgraaf, E. Verlinde, H. Verlinde, Nucl.Phys. B486 (1997) 77; P. M. Kaplan, D. A. Lowe, J. M. Maldacena and A. Strominger, hep-th/9609204; J. M. Maldacena, hep-th/9611163
22. 3. A. Strominger and C. Vafa, Phys. Lett. B379 (1996) 99; C. G. Callan and J. M. Maldacena, Nucl. Phys. B472 (1996) 591; G. Horowitz and A. Strominger, Phys. Rev. Lett, B383 (1996) 2368, hep-th/9602051; R. Dijkgraaf, E. Verlinde, H. Verlinde, Nucl.Phys. B486 (1997) 77; P. M. Kaplan, D. A. Lowe, J. M. Maldacena and A. Strominger, hep-th/9609204; J. M. Maldacena, hep-th/9611163
23. 3. A. Strominger and C. Vafa, Phys. Lett. B379 (1996) 99; C. G. Callan and J. M. Maldacena, Nucl. Phys. B472 (1996) 591; G. Horowitz and A. Strominger, Phys. Rev. Lett, B383 (1996) 2368, hep-th/9602051; R. Dijkgraaf, E. Verlinde, H. Verlinde, Nucl.Phys. B486 (1997) 77; P. M. Kaplan, D. A. Lowe, J. M. Maldacena and A. Strominger, hep-th/9609204; J. M. Maldacena, hep-th/9611163
24. 3. A. Strominger and C. Vafa, Phys. Lett. B379 (1996) 99; C. G. Callan and J. M. Maldacena, Nucl. Phys. B472 (1996) 591; G. Horowitz and A. Strominger, Phys. Rev. Lett, B383 (1996) 2368, hep-th/9602051; R. Dijkgraaf, E. Verlinde, H. Verlinde, Nucl.Phys. B486 (1997) 77; P. M. Kaplan, D. A. Lowe, J. M. Maldacena and A. Strominger, hep-th/9609204; J. M. Maldacena, hep-th/9611163
25. 3. A. Strominger and C. Vafa, Phys. Lett. B379 (1996) 99; C. G. Callan and J. M. Maldacena, Nucl. Phys. B472 (1996) 591; G. Horowitz and A. Strominger, Phys. Rev. Lett, B383 (1996) 2368, hep-th/9602051; R. Dijkgraaf, E. Verlinde, H. Verlinde, Nucl.Phys. B486 (1997) 77; P. M. Kaplan, D. A. Lowe, J. M. Maldacena and A. Strominger, hep-th/9609204; J. M. Maldacena, hep-th/9611163
26. 4. L. Susskind, hep-th/9309145; L. Susskind and J. Uglum, Phys. Rev. D50 (1994) 2700; F. Larsen and F. Wilczek, Phys. Lett. B375 (1996) 37
27. 4. L. Susskind, hep-th/9309145; L. Susskind and J. Uglum, Phys. Rev. D50 (1994) 2700; F. Larsen and F. Wilczek, Phys. Lett. B375 (1996) 37
28. 4. L. Susskind, hep-th/9309145; L. Susskind and J. Uglum, Phys. Rev. D50 (1994) 2700; F. Larsen and F. Wilczek, Phys. Lett. B375 (1996) 37
29. 5. S. Ferrara, R. Kallosh and A. Strominger, Phys. Rev. D52 (1995) 5412; A. Strominger, Phys. Lett. B383 (1996) 39
30. 5. S. Ferrara, R. Kallosh and A. Strominger, Phys. Rev. D52 (1995) 5412; A. Strominger, Phys. Lett. B383 (1996) 39
31. 6. S. Ferrara and R. Kallosh, Phys. Rev. D54 (1996) 1514
32. 7. S. Ferrara and R. Kallosh, Phys. Rev. D54 (1996) 1525
33. 8. R. Kallosh and B. Kol, Phys. Rev. D53 (1996) 5344
34. 9. P. Breitenlohner, D. Maison and G. W. Gibbons, Commun. Math. Phys. 120 (1988) 295; G. W. Gibbons, R. Kallosh and B. Kol, Phys. Rev. Lett. 77 (1996) 4992
35. 9. P. Breitenlohner, D. Maison and G. W. Gibbons, Commun. Math, Phys. 120 (1988) 295; G. W. Gibbons, R. Kallosh and B. Kol, Phys. Rev. Lett. 77 (1996) 4992
36. 10. S. Ferrara, G. W. Gibbons and R. Kallosh, hep-th/9702103
37. 11. S. Ferrara, C. Savoy and B. Zumino, Phys. Lett. 100B (1981) 393
38. 12. A. Ceresole, R. D'Auria and S. Ferrara, in "S-Duality and Mirror symmetry", Nucl. Phys. (Proc. Suppl.) B46 (1996) 67, ed. E. Gava, K. S. Narain and C. Vafa
39. 13. L. Andrianopoli, R. D'Auria and S. Ferrara, hep-th/9608015, to appear in International Journal of Modern Physics A
40. 14. L. Andrianopoli, R. D'Auria and S. Ferrara, hep-th/9612105
41. 15. E. Cremmer in "Supergravity '81", ed. by S. Ferrara and J. G. Taylor, Pag. 313; B. Julia in "Superspace & Supergravity", ed. by S. Hawking and M. Rocek, Cambridge (1981) pag. 331; M. Gimaydin, G. Sierra and P.K. Townsend, Phys. Lett. B 133 (1983) 72; M. Günaydin and C. Sacliog̃lu, Comm. Math. Phys. 87 (1982) 159
42. 15. E. Cremmer in "Supergravity '81", ed. by S. Ferrara and J. G. Taylor, Pag. 313; B. Julia in "Superspace & Supergravity", ed. by S. Hawking and M. Rocek, Cambridge (1981) pag. 331; M. Gimaydin, G. Sierra and P.K. Townsend, Phys. Lett. B 133 (1983) 72; M. Günaydin and C. Sacliog̃lu, Comm. Math. Phys. 87 (1982) 159
43. 15. E. Cremmer in "Supergravity '81", ed. by S. Ferrara and J. G. Taylor, Pag. 313; B. Julia in "Superspace & Supergravity", ed. by S. Hawking and M. Rocek, Cambridge (1981) pag. 331; M. Gimaydin, G. Sierra and P.K. Townsend, Phys. Lett. B 133 (1983) 72; M. Günaydin and C. Sacliog̃lu, Comm. Math. Phys. 87 (1982) 159
44. 15. E. Cremmer in "Supergravity '81", ed. by S. Ferrara and J. G. Taylor, Pag. 313; B. Julia in "Superspace & Supergravity", ed. by S. Hawking and M. Rocek, Cambridge (1981) pag. 331; M. Gimaydin, G. Sierra and P.K. Townsend, Phys. Lett. B 133 (1983) 72; M. Günaydin and C. Sacliog̃lu, Comm. Math. Phys. 87 (1982) 159
45. 16. L. Castellani, A. Ceresole, R. D'Auria, S. Ferrara, P, Fré and E. Maina, Nucl. Phys. B286 (1986) 317
46. 17. E. Bergshoeff, I. G. Koh and E. Sezgin, Phys. Lett. 155B (1985) 71; M. de Roo and F. Wagemans, Nucl. Phys. B262 (1985) 644
47. 17. E. Bergshoeff, I. G. Koh and E. Sezgin, Phys. Lett. 155B (1985) 71; M. de Roo and F. Wagemans, Nucl. Phys. B262 (1985) 644
48. 18. C. M. Hull and P. K. Townsend, Nucl. Phys. B451 (1995) 525
49. 19. A. Chou, R. Kallosh, J. Rahmfeld, S.J. Rey, M. Shmakova and W.K. Wong, hep-th/9704142
50. 20. L. Andrianopoli, R. D'Auria and S. Ferrara, Phys. Lett. B 403 (1997) 12, hep-th/9703156
51. 21. L. Andrianopoli, R. D'Auria and S. Ferrara, hep-th/9705024
52. 22. S. Ferrara and J.M. Maldacena, hep-th/9706097
53. 23. V. Balasubramanian, F. Larsen and R. Leigh, hep-th/9704143
54. 24. R. Khuri and T. Ortin, Phys. Lett. B 373 (1996) 56, hep-th/9512178
55. 25. H. Sheinblatt, hep-th/9705054
56. 26. J. Polchinski, hep-th/9611050
57. 27. W. Taylor, hep-th/9705116
58. 28. A. Sen, hep-th/9705212
59. 29. S. Ferrara and M. Günaydin, hep-th/9708025
60. 30. H. Lü, C.N. Pope and K.S. Stelle, hep-th/9708109
61. 31. M. Berkooz, M.R. Douglas and R.G. Leigh, Nucl. Phys. B 480 (1996) 265
62. 32. V. Balasubramanian, F. Larsen and R.G. Leigh, hep-th/9704143
63. 33. H. Lü, C.N. Pope, T.A. Tran and K.W. Xu, hep-th/9708055
64. 34. L. Andrianopoli, R. D'Auria, S. Ferrara, P. Fré, M. Trigiante, hep-th/9707087