From type IIA black holes to T-dual type IIB D-instantons in N = 2, D = 4 supergravity

Nuclear Physics B

Volumn 508, Issue 3, 1997, Pages 659-699

  Behrndt, Klaus ^a   Gaida, Ingo ^b   Lüst, Dieter ^a   Mahapatra, Swapna ^a   Mohaupt, Thomas ^a  

^a HUMBOLDT UNIVERSITY   (Germany)

^b UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

Calabi Yau compactification; D = 4, N = 2 supergravity; D instanton black holes; T duality c map

Indexed keywords

EID: 0031590867     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(97)00634-2     Document Type: Article

References (68)

1. [1] J. Dai, R.G. Leigh and J. Polchinski, Mod. Phys. Lett. A 4 (1989) 2073; P. Horava, Phys. Lett. B 231 (1989) 251.
2. [1] J. Dai, R.G. Leigh and J. Polchinski, Mod. Phys. Lett. A 4 (1989) 2073; P. Horava, Phys. Lett. B 231 (1989) 251.
3. [2] J. Polchinski, Phys. Rev. Lett. 75 (1995) 4724, hep-th/9510017.
4. [3] A. Strominger and C. Vafa, Phys. Lett. B 379 (1996) 99, hep-th/9601029; C. Callan and J. Maldacena, Nucl. Phys. B 472 (1996) 591, hep-th/9602043.
5. [3] A. Strominger and C. Vafa, Phys. Lett. B 379 (1996) 99, hep-th/9601029; C. Callan and J. Maldacena, Nucl. Phys. B 472 (1996) 591, hep-th/9602043.
6. [4] K. Behrndt, D. Lüst and W.A. Sabra, hep-th/9705169, to appear in Nucl. Phys. B.
7. [5] B. de Wit, R. Philippe, S.Q. Su and A. Van Proeyen, Phys. Lett. B 134 (1984) 37; B. de Wit and A. Van Proeyen, Nucl. Phys. B 245 (1984) 89; E. Cremmer, C. Kounnas, A. Van Proeyen, J.P. Derendinger, S. Ferrara, B. de Wit and L. Girardello, Nucl. Phys. B 250 (1985) 385.
8. [5] B. de Wit, R. Philippe, S.Q. Su and A. Van Proeyen, Phys. Lett. B 134 (1984) 37; B. de Wit and A. Van Proeyen, Nucl. Phys. B 245 (1984) 89; E. Cremmer, C. Kounnas, A. Van Proeyen, J.P. Derendinger, S. Ferrara, B. de Wit and L. Girardello, Nucl. Phys. B 250 (1985) 385.
9. [5] B. de Wit, R. Philippe, S.Q. Su and A. Van Proeyen, Phys. Lett. B 134 (1984) 37; B. de Wit and A. Van Proeyen, Nucl. Phys. B 245 (1984) 89; E. Cremmer, C. Kounnas, A. Van Proeyen, J.P. Derendinger, S. Ferrara, B. de Wit and L. Girardello, Nucl. Phys. B 250 (1985) 385.
10. [6] S. Ferrara and A. Strominger, in Strings '89, ed. R. Arnowitt, R. Bryan, M.J. Duff, D.V. Nanopoulos and C.N. Pope (World Scientific, Singapore, 1989), p. 245; A. Strominger, Comm. Math. Phys. 133 (1990) 163; L.J. Dixon, V.S. Kaplunovsky and J. Louis, Nucl. Phys. B 329 (1990) 27; P. Candelas and X.C. de la Ossa, Nucl. Phys. B 355 (1991) 455; L. Castellani, R. D' Auria and S. Ferrara, Phys. Lett. B 241 (1990) 57; Class. Quant. Grav. 7 (1990) 1767.
11. [6] S. Ferrara and A. Strominger, in Strings '89, ed. R. Arnowitt, R. Bryan, M.J. Duff, D.V. Nanopoulos and C.N. Pope (World Scientific, Singapore, 1989), p. 245; A. Strominger, Comm. Math. Phys. 133 (1990) 163; L.J. Dixon, V.S. Kaplunovsky and J. Louis, Nucl. Phys. B 329 (1990) 27; P. Candelas and X.C. de la Ossa, Nucl. Phys. B 355 (1991) 455; L. Castellani, R. D' Auria and S. Ferrara, Phys. Lett. B 241 (1990) 57; Class. Quant. Grav. 7 (1990) 1767.
12. [6] S. Ferrara and A. Strominger, in Strings '89, ed. R. Arnowitt, R. Bryan, M.J. Duff, D.V. Nanopoulos and C.N. Pope (World Scientific, Singapore, 1989), p. 245; A. Strominger, Comm. Math. Phys. 133 (1990) 163; L.J. Dixon, V.S. Kaplunovsky and J. Louis, Nucl. Phys. B 329 (1990) 27; P. Candelas and X.C. de la Ossa, Nucl. Phys. B 355 (1991) 455; L. Castellani, R. D' Auria and S. Ferrara, Phys. Lett. B 241 (1990) 57; Class. Quant. Grav. 7 (1990) 1767.
13. [6] S. Ferrara and A. Strominger, in Strings '89, ed. R. Arnowitt, R. Bryan, M.J. Duff, D.V. Nanopoulos and C.N. Pope (World Scientific, Singapore, 1989), p. 245; A. Strominger, Comm. Math. Phys. 133 (1990) 163; L.J. Dixon, V.S. Kaplunovsky and J. Louis, Nucl. Phys. B 329 (1990) 27; P. Candelas and X.C. de la Ossa, Nucl. Phys. B 355 (1991) 455; L. Castellani, R. D' Auria and S. Ferrara, Phys. Lett. B 241 (1990) 57; Class. Quant. Grav. 7 (1990) 1767.
14. [6] S. Ferrara and A. Strominger, in Strings '89, ed. R. Arnowitt, R. Bryan, M.J. Duff, D.V. Nanopoulos and C.N. Pope (World Scientific, Singapore, 1989), p. 245; A. Strominger, Comm. Math. Phys. 133 (1990) 163; L.J. Dixon, V.S. Kaplunovsky and J. Louis, Nucl. Phys. B 329 (1990) 27; P. Candelas and X.C. de la Ossa, Nucl. Phys. B 355 (1991) 455; L. Castellani, R. D' Auria and S. Ferrara, Phys. Lett. B 241 (1990) 57; Class. Quant. Grav. 7 (1990) 1767.
15. [6] S. Ferrara and A. Strominger, in Strings '89, ed. R. Arnowitt, R. Bryan, M.J. Duff, D.V. Nanopoulos and C.N. Pope (World Scientific, Singapore, 1989), p. 245; A. Strominger, Comm. Math. Phys. 133 (1990) 163; L.J. Dixon, V.S. Kaplunovsky and J. Louis, Nucl. Phys. B 329 (1990) 27; P. Candelas and X.C. de la Ossa, Nucl. Phys. B 355 (1991) 455; L. Castellani, R. D' Auria and S. Ferrara, Phys. Lett. B 241 (1990) 57; Class. Quant. Grav. 7 (1990) 1767.
16. [7] S. Ferrara, R. Kallosh and A. Strominger, Phys. Rev. D 52 (1995) 5412, hep-th/9508072; A. Strominger, Phys. Lett. B 383 (1996) 39, hep-th/9602111; S. Ferrara and R. Kallosh, Phys. Rev. D 54 (1996) 1514, hep-th/9602136.
17. [7] S. Ferrara, R. Kallosh and A. Strominger, Phys. Rev. D 52 (1995) 5412, hep-th/9508072; A. Strominger, Phys. Lett. B 383 (1996) 39, hep-th/9602111; S. Ferrara and R. Kallosh, Phys. Rev. D 54 (1996) 1514, hep-th/9602136.
18. [7] S. Ferrara, R. Kallosh and A. Strominger, Phys. Rev. D 52 (1995) 5412, hep-th/9508072; A. Strominger, Phys. Lett. B 383 (1996) 39, hep-th/9602111; S. Ferrara and R. Kallosh, Phys. Rev. D 54 (1996) 1514, hep-th/9602136.
19. [8] K. Behrndt, R. Kallosh, J. Rahmfeld, M. Shmakova and W.K. Wong, Phys. Rev. D 54 (1996) 6293, hep-th/9608059; G. Lopes Cardoso, D. Lüst and T. Mohaupt, Phys. Lett. B 388 (1996) 266, hep-th/9608099.
20. [8] K. Behrndt, R. Kallosh, J. Rahmfeld, M. Shmakova and W.K. Wong, Phys. Rev. D 54 (1996) 6293, hep-th/9608059; G. Lopes Cardoso, D. Lüst and T. Mohaupt, Phys. Lett. B 388 (1996) 266, hep-th/9608099.
21. [9] K. Behrndt, G. Lopes Cardoso, B. de Wit, R. Kallosh, D. Lüst and T. Mohaupt, Nucl. Phys. B 488 (1997) 236, hep-th/9610105; S.-J. Rey, hep-th/9610157; K. Behrndt and I. Gaida, hep-th/9702168; K. Behrndt, G. Lopes Cardoso and I. Gaida, hep-th/9704095; I. Gaida, hep-th/9705150.
22. [9] K. Behrndt, G. Lopes Cardoso, B. de Wit, R. Kallosh, D. Lüst and T. Mohaupt, Nucl. Phys. B 488 (1997) 236, hep-th/9610105; S.-J. Rey, hep-th/9610157; K. Behrndt and I. Gaida, hep-th/9702168; K. Behrndt, G. Lopes Cardoso and I. Gaida, hep-th/9704095; I. Gaida, hep-th/9705150.
23. [9] K. Behrndt, G. Lopes Cardoso, B. de Wit, R. Kallosh, D. Lüst and T. Mohaupt, Nucl. Phys. B 488 (1997) 236, hep-th/9610105; S.-J. Rey, hep-th/9610157; K. Behrndt and I. Gaida, hep-th/9702168; K. Behrndt, G. Lopes Cardoso and I. Gaida, hep-th/9704095; I. Gaida, hep-th/9705150.
24. [9] K. Behrndt, G. Lopes Cardoso, B. de Wit, R. Kallosh, D. Lüst and T. Mohaupt, Nucl. Phys. B 488 (1997) 236, hep-th/9610105; S.-J. Rey, hep-th/9610157; K. Behrndt and I. Gaida, hep-th/9702168; K. Behrndt, G. Lopes Cardoso and I. Gaida, hep-th/9704095; I. Gaida, hep-th/9705150.
25. [9] K. Behrndt, G. Lopes Cardoso, B. de Wit, R. Kallosh, D. Lüst and T. Mohaupt, Nucl. Phys. B 488 (1997) 236, hep-th/9610105; S.-J. Rey, hep-th/9610157; K. Behrndt and I. Gaida, hep-th/9702168; K. Behrndt, G. Lopes Cardoso and I. Gaida, hep-th/9704095; I. Gaida, hep-th/9705150.
26. [10] K. Behrndt and T. Mohaupt, hep-th/9611140; J. Maldacena, hep-th/9611163.
27. [10] K. Behrndt and T. Mohaupt, hep-th/9611140; J. Maldacena, hep-th/9611163.
28. [11] G.W. Gibbons, M.B. Green and M.J. Perry, Phys. Lett. B 370 (1996) 37, hep-th/9511080.
29. [12] C. Vafa, Nucl. Phys. B 469 (1996) 493, hep-th/9602022.
30. [13] M. Green and P. Vanhove, hep-th/9704145.
31. [14] E. Bergshoeff and M. de Roo, Phys. Lett. B 380 (1996) 265, hep-th/9603123.
32. [15] S. Cecotti, S. Ferrara and L. Girardello, Int. J. Mod. Phys. A 10 (1989) 2475.
33. [16] S. Ferrara and S. Sabharwal, Nucl. Phys. B 322 (1990) 317.
34. [17] E. Alvarez, J.L.F. Barbon and J. Borlaf, Nucl. Phys. B 479 (1996) 218, hep-th/9603089.
35. [18] M.J. Duff, R.R. Khuri and J.X. Lu, Phys. Rep. 259 (1995) 213.
36. [19] B.R. Greene, A. Shapere, C. Vafa and S.-T. Yau, Nucl. Phys. B 337 (1990) 1.
37. [20] M.B. Green, Phys. Lett. B 329 (1994) 435, hep-th/9403040; J. Polchinski, Phys. Rev. D 50 (1994) 6041, hep-th/9407031; M.B. Green, Phys. Lett. B 354 (1995) 271, hep-th/9504108.
38. [20] M.B. Green, Phys. Lett. B 329 (1994) 435, hep-th/9403040; J. Polchinski, Phys. Rev. D 50 (1994) 6041, hep-th/9407031; M.B. Green, Phys. Lett. B 354 (1995) 271, hep-th/9504108.
39. [20] M.B. Green, Phys. Lett. B 329 (1994) 435, hep-th/9403040; J. Polchinski, Phys. Rev. D 50 (1994) 6041, hep-th/9407031; M.B. Green, Phys. Lett. B 354 (1995) 271, hep-th/9504108.
40. [21] M.B. Green and M. Gutperle, hep-th/9701093.
41. [22] A.A. Tseytlin, hep-th/9604035.
42. [23] B. de Wit, F. Vanderseypen and A. Van Proeyen, Nucl. Phys. B 400 (1993) 463; B. de Wit and A. Van Proeyen, in Quaternionic Structures in Mathematics and Physics, ILAS/FM-6/1996 (Sissa, Trieste) hep-th/9505097; Nucl. Phys. B (Proc. Suppl.) 45B,C (1996) 196.
43. [23] B. de Wit, F. Vanderseypen and A. Van Proeyen, Nucl. Phys. B 400 (1993) 463; B. de Wit and A. Van Proeyen, in Quaternionic Structures in Mathematics and Physics, ILAS/FM-6/1996 (Sissa, Trieste) hep-th/9505097; Nucl. Phys. B (Proc. Suppl.) 45B,C (1996) 196.
44. [23] B. de Wit, F. Vanderseypen and A. Van Proeyen, Nucl. Phys. B 400 (1993) 463; B. de Wit and A. Van Proeyen, in Quaternionic Structures in Mathematics and Physics, ILAS/FM-6/1996 (Sissa, Trieste) hep-th/9505097; Nucl. Phys. B (Proc. Suppl.) 45B,C (1996) 196.
45. [24] L. Andrianopoli, M. Bertolini, A. Ceresole, R. D'Auria, S. Ferrara, P. Fré and T. Magri, hep-th/9605032.
46. [25] B. Craps, R. Roose, W. Troost and A. Van Proeyen, hep-th/9703082.
47. [26] J. Bagger and E. Witten, Nucl. Phys. B 222 (1983) 1.
48. [27] B. de Wit, P.G. Lauwers and A. Van Proeyen, Nucl. Phys. B 255 (1985) 569.
49. [28] N.J. Hitchin, A. Karlhede, U. Lindstrom and M. Rocek, Comm. Math. Phys. 108 (1987) 117; K. Galicki, Comm. Math. Phys. 108 (1987) 535; R. D'Auria, S. Ferrara and P. Fré, Nucl. Phys. B 359 (1991) 705; D. Anselmi and P. Fré, Nucl. Phys. B 392 (1993) 401; B 404 (1993) 288; B 416 (1994) 255.
50. [28] N.J. Hitchin, A. Karlhede, U. Lindstrom and M. Rocek, Comm. Math. Phys. 108 (1987) 117; K. Galicki, Comm. Math. Phys. 108 (1987) 535; R. D'Auria, S. Ferrara and P. Fré, Nucl. Phys. B 359 (1991) 705; D. Anselmi and P. Fré, Nucl. Phys. B 392 (1993) 401; B 404 (1993) 288; B 416 (1994) 255.
51. [28] N.J. Hitchin, A. Karlhede, U. Lindstrom and M. Rocek, Comm. Math. Phys. 108 (1987) 117; K. Galicki, Comm. Math. Phys. 108 (1987) 535; R. D'Auria, S. Ferrara and P. Fré, Nucl. Phys. B 359 (1991) 705; D. Anselmi and P. Fré, Nucl. Phys. B 392 (1993) 401; B 404 (1993) 288; B 416 (1994) 255.
52. [28] N.J. Hitchin, A. Karlhede, U. Lindstrom and M. Rocek, Comm. Math. Phys. 108 (1987) 117; K. Galicki, Comm. Math. Phys. 108 (1987) 535; R. D'Auria, S. Ferrara and P. Fré, Nucl. Phys. B 359 (1991) 705; D. Anselmi and P. Fré, Nucl. Phys. B 392 (1993) 401; B 404 (1993) 288; B 416 (1994) 255.
53. [28] N.J. Hitchin, A. Karlhede, U. Lindstrom and M. Rocek, Comm. Math. Phys. 108 (1987) 117; K. Galicki, Comm. Math. Phys. 108 (1987) 535; R. D'Auria, S. Ferrara and P. Fré, Nucl. Phys. B 359 (1991) 705; D. Anselmi and P. Fré, Nucl. Phys. B 392 (1993) 401; B 404 (1993) 288; B 416 (1994) 255.
54. [28] N.J. Hitchin, A. Karlhede, U. Lindstrom and M. Rocek, Comm. Math. Phys. 108 (1987) 117; K. Galicki, Comm. Math. Phys. 108 (1987) 535; R. D'Auria, S. Ferrara and P. Fré, Nucl. Phys. B 359 (1991) 705; D. Anselmi and P. Fré, Nucl. Phys. B 392 (1993) 401; B 404 (1993) 288; B 416 (1994) 255.
55. [29] A. Ceresole, R. D'Auria, S. Ferrara and A. Van Proeyen, Nucl. Phys. B 444 (1995) 92, hep-th/9502072.
56. [30] S. Ferrara, L. Girardello and M. Porrati, Phys. Lett. B 366 (1996) 155, hep-th/9510074.
57. [31] P. Candelas, Lectures on complex manifolds. Lectures given at the Trieste Spring School on superstrings, 1987, published in the proceedings; S. Ferrara and S. Theisen, Moduli spaces, effective actions and duality symmetry in string compactifications, CERN-TH-5652-90, based on lectures given at 3rd Hellenic Summer School, Corfu, Greece, Sep 13-23, 1989, published in the proceedings.
58. [31] P. Candelas, Lectures on complex manifolds. Lectures given at the Trieste Spring School on superstrings, 1987, published in the proceedings; S. Ferrara and S. Theisen, Moduli spaces, effective actions and duality symmetry in string compactifications, CERN-TH-5652-90, based on lectures given at 3rd Hellenic Summer School, Corfu, Greece, Sep 13-23, 1989, published in the proceedings.
59. [32] E. Cremmer and A. Van Proeyen, Class. Quant. Grav. 2 (1985) 445.
60. [33] P. van Nieuwenhuizen and A. Waldron, hep-th/9608174.
61. [34] S.B. Giddings and A. Strominger, Phys. Lett. B 230 (1989) 46; C.G. Callan, J.A. Harvey and A. Strominger, Nucl. Phys. B 359 (1991) 611.
62. [34] S.B. Giddings and A. Strominger, Phys. Lett. B 230 (1989) 46; C.G. Callan, J.A. Harvey and A. Strominger, Nucl. Phys. B 359 (1991) 611.
63. [35] K. Behrndt, Phys. Lett. B 396 (1997) 77, hep-th/9610232.
64. [36] W. Sabra, hep-th/9703101, hep-th/9704147.
65. [37] J. Maharana and J. Schwarz, Nucl. Phys. B 390 (1993) 3. hep-th/9207016.
66. [38] K. Behrndt, S. Förste and S. Schwager, hep-th/9704013.
67. [39] A.A. Tseytlin, hep-th/9612164.
68. [40] A. Chou, R. Kallosh, J. Rahmfeld, S.-J. Rey, M. Shmakova and W.K. Wong, hep-th/9704142.