Scales of string theory

Classical and Quantum Gravity

Volumn 17, Issue 5, 2000, Pages 951-959

  Bachas, C P ^a  

^a Lab de Phys Chim Theorique   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034615484     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/17/5/304     Document Type: Review

References (92)

1. Green M B, Schwarz J H and Witten E 1987 Superstring Theory (Cambridge: Cambridge University Press) Polchinski J 1998 String Theory (Cambridge: Cambridge University Press) Olive D and West P (ed) 1998 Duality and Supersymmetric Theories (Cambridge: Cambridge University Press)
2. Green M B, Schwarz J H and Witten E 1987 Superstring Theory (Cambridge: Cambridge University Press) Polchinski J 1998 String Theory (Cambridge: Cambridge University Press) Olive D and West P (ed) 1998 Duality and Supersymmetric Theories (Cambridge: Cambridge University Press)
3. Green M B, Schwarz J H and Witten E 1987 Superstring Theory (Cambridge: Cambridge University Press) Polchinski J 1998 String Theory (Cambridge: Cambridge University Press) Olive D and West P (ed) 1998 Duality and Supersymmetric Theories (Cambridge: Cambridge University Press)
4. Witten E 1996 Nucl. Phys. B 471 135 (Witten E 1996 Preprint hep-th/9602070)
5. Lykken J D 1996 Phys. Rev. D 54 3693 (Lykken J D 1996 Preprint hep-th/9603133)
6. Carceres E, Kaplunovsky V S and Mandelberg I M 1997 Nucl. Phys. B 493 73 (Carceres E, Kaplunovsky V S and Mandelberg I M 1996 Preprint hep-th/9606036)
7. Arkani-Hamed N, Dimopoulos S and Dvali G 1998 Phys. Lett. B 429 263 (Arkani-Hamed N, Dimopoulos S and Dvali G 1998 Preprint hep-ph/9803315) Arkani-Hamed N, Dimopoulos S and Dvali G 1999 Phys. Rev. D 59 086004 (Arkani-Hamed N, Dimopoulos S and Dvali G 1998 Preprint hep-ph/9807344)
8. Arkani-Hamed N, Dimopoulos S and Dvali G 1998 Phys. Lett. B 429 263 (Arkani-Hamed N, Dimopoulos S and Dvali G 1998 Preprint hep-ph/9803315) Arkani-Hamed N, Dimopoulos S and Dvali G 1999 Phys. Rev. D 59 086004 (Arkani-Hamed N, Dimopoulos S and Dvali G 1998 Preprint hep-ph/9807344)
9. Antoniadis I, Arkani-Hamed N, Dimopoulos S and Dvali G 1998 Phys. Lett. B 436 257 (Antoniadis I, Arkani-Hamed N, Dimopoulos S and Dvali G 1998 Preprint hep-ph/9804398)
10. Shiu G and Tye S-H H 1998 Phys. Rev. D 58 106007 (Shiu G and Tye S-H H 1998 Preprint hep-th/9805157)
11. Kakushadze Z and Tye S-H H 1999 Nucl. Phys. B 548 180 (Kakushadze Z and Tye S-H H 1998 Preprint hep-th/9809147)
12. Bachas C 1998 J. High Energy Phys. JHEP11(1998)023 (Bachas C 1998 Preprint hep-ph/9807415) Bachas C 1999 Fundamental interactions: from symmetries to black holes Proc. Conf. in Honour of F Englert ed J-M Frere et al (Bachas C 1999 Preprint hep-th/9907023)
13. Bachas C 1998 J. High Energy Phys. JHEP11(1998)023 (Bachas C 1998 Preprint hep-ph/9807415) Bachas C 1999 Fundamental interactions: from symmetries to black holes Proc. Conf. in Honour of F Englert ed J-M Frere et al (Bachas C 1999 Preprint hep-th/9907023)
14. Antoniadis I and Bachas C 1999 Phys. Lett. B 450 83 (Antoniadis I and Bachas C 1998 Preprint hep-th/9812093)
15. Benakli K 1999 Phys. Rev. D 60 104002 (Benakli K 1998 Preprint hep-ph/9809582)
16. Burgess C, Ibanez L E and Quevedo F 1999 Phys. Lett. B 447 257 (Burgess C, Ibanez L E and Quevedo F 1998 Preprint hep-ph/9810535)
17. Randall L and Sundrum R 1999 Phys. Rev. Lett. 83 3370 (Randall L and Sundrum R 1999 Preprint hep-ph/9905221) Randall L and Sundrum R 1999 Phys. Rev. Lett. 83 4690 (Randall L and Sundrum R 1999 Preprint hep-th/9906064)
18. Randall L and Sundrum R 1999 Phys. Rev. Lett. 83 3370 (Randall L and Sundrum R 1999 Preprint hep-ph/9905221) Randall L and Sundrum R 1999 Phys. Rev. Lett. 83 4690 (Randall L and Sundrum R 1999 Preprint hep-th/9906064)
19. Antoniadis I and Pioline B 1999 Nucl. Phys. B 550 41 (Antoniadis I and Pioline B 1999 Preprint hep-th/9902055)
20. Benakli K and Oz Y 1999 Preprint hep-th/9910090
21. Ibanez L 2000 Class. Quantum Grav. 17 Antoniadis I and Sagnotti A 2000 Class. Quantum Grav. 17
22. Ibanez L 2000 Class. Quantum Grav. 17 Antoniadis I and Sagnotti A 2000 Class. Quantum Grav. 17
23. Long J C, Chan H W and Price J C 1999 Nucl. Phys. B 539 23 (Long J C, Chan H W and Price J C 1999 Preprint hep-ph/9805217)
24. Weinberg S 1989 Rev. Mod. Phys. 61 1
25. See, however, Verlinde E 2000 Class. Quantum Grav. 17 in this volume Burgess C P, Myers R C and Quevedo F 1999 Preprint hep-th/9911164
26. See, however, Verlinde E 2000 Class. Quantum Grav. 17 in this volume Burgess C P, Myers R C and Quevedo F 1999 Preprint hep-th/9911164
27. Sundrum R 1999 J. High Energy Phys. JHEP07(1999)001 (Sundrum R 1997 Preprint hep-ph/9708329) Tomaras T Private communication
28. Sundrum R 1999 J. High Energy Phys. JHEP07(1999)001 (Sundrum R 1997 Preprint hep-ph/9708329) Tomaras T Private communication
29. See, for instance, Dimopoulos S 1994 Preprint hep-ph/9412297
30. Georgi H, Quinn H and Weinberg S 1974 Phys. Rev. Lett. 33 451
31. Dimopoulos S, Raby S and Wilczek F 1981 Phys. Rev. D 24 1681 Dimopoulos S and Georgi H 1981 Nucl. Phys. B 193 150 Ibanez L and Ross G G 1981 Phys. Lett. B 106 439 Sakai N 1981 Z. Phys. C 11 153
32. Dimopoulos S, Raby S and Wilczek F 1981 Phys. Rev. D 24 1681 Dimopoulos S and Georgi H 1981 Nucl. Phys. B 193 150 Ibanez L and Ross G G 1981 Phys. Lett. B 106 439 Sakai N 1981 Z. Phys. C 11 153
33. Dimopoulos S, Raby S and Wilczek F 1981 Phys. Rev. D 24 1681 Dimopoulos S and Georgi H 1981 Nucl. Phys. B 193 150 Ibanez L and Ross G G 1981 Phys. Lett. B 106 439 Sakai N 1981 Z. Phys. C 11 153
34. Dimopoulos S, Raby S and Wilczek F 1981 Phys. Rev. D 24 1681 Dimopoulos S and Georgi H 1981 Nucl. Phys. B 193 150 Ibanez L and Ross G G 1981 Phys. Lett. B 106 439 Sakai N 1981 Z. Phys. C 11 153
35. Langacker P and Polonsky N 1993 Phys. Rev. D 47 4028 (Langacker P and Polonsky N 1992 Preprint hep-ph/9210235) Langacker P and Polonsky N 1994 Phys. Rev. D 49 1454 (Langacker P and Polonsky N 1993 Preprint hep-ph/9306205) Carena M, Pokorski S and Wagner C E M 1993 Nucl. Phys. B 406 59 (Carena M, Pokorski S and Wagner C E M 1993 Preprint hep-ph/9303202) Carena M, Dimopoulos S, Raby S and Wagner C E M 1995 Phys. Rev. D 52 4133 and references therein
36. Langacker P and Polonsky N 1993 Phys. Rev. D 47 4028 (Langacker P and Polonsky N 1992 Preprint hep-ph/9210235) Langacker P and Polonsky N 1994 Phys. Rev. D 49 1454 (Langacker P and Polonsky N 1993 Preprint hep-ph/9306205) Carena M, Pokorski S and Wagner C E M 1993 Nucl. Phys. B 406 59 (Carena M, Pokorski S and Wagner C E M 1993 Preprint hep-ph/9303202) Carena M, Dimopoulos S, Raby S and Wagner C E M 1995 Phys. Rev. D 52 4133 and references therein
37. Langacker P and Polonsky N 1993 Phys. Rev. D 47 4028 (Langacker P and Polonsky N 1992 Preprint hep-ph/9210235) Langacker P and Polonsky N 1994 Phys. Rev. D 49 1454 (Langacker P and Polonsky N 1993 Preprint hep-ph/9306205) Carena M, Pokorski S and Wagner C E M 1993 Nucl. Phys. B 406 59 (Carena M, Pokorski S and Wagner C E M 1993 Preprint hep-ph/9303202) Carena M, Dimopoulos S, Raby S and Wagner C E M 1995 Phys. Rev. D 52 4133 and references therein
38. Langacker P and Polonsky N 1993 Phys. Rev. D 47 4028 (Langacker P and Polonsky N 1992 Preprint hep-ph/9210235) Langacker P and Polonsky N 1994 Phys. Rev. D 49 1454 (Langacker P and Polonsky N 1993 Preprint hep-ph/9306205) Carena M, Pokorski S and Wagner C E M 1993 Nucl. Phys. B 406 59 (Carena M, Pokorski S and Wagner C E M 1993 Preprint hep-ph/9303202) Carena M, Dimopoulos S, Raby S and Wagner C E M 1995 Phys. Rev. D 52 4133 and references therein
39. Ginsparg P 1987 Phys. Lett. B 197 139
40. Kaplunovsky V 1988 Nucl. Phys. B 307 145 Dixon L, Kaplunovsky V and Louis J 1990 Nucl. Phys. B 329 27
41. Kaplunovsky V 1988 Nucl. Phys. B 307 145 Dixon L, Kaplunovsky V and Louis J 1990 Nucl. Phys. B 329 27
42. For a review see Dienes K 1997 Phys. Rep. 287 447 and references therein
43. For a review see Costa G and Zwirner F 1986 Nuovo Cimento 9 1
44. For a review see Altarelli G and Feruglio F 1999 Preprint hep-ph/9905536
45. Antoniadis I 1990 Phys. Lett. B 246 377
46. Bachas C 1995 unpublished
47. Taylor T R and Veneziano G 1988 Phys. Lett. B 212 147 Dienes K R, Dudas E and Gherghetta T 1998 Phys. Lett. B 436 55 (Dienes K R, Dudas E and Gherghetta T 1998 Preprint hep-ph/9803466) Kakushadze Z and Taylor T R 1999 Preprint hep-th/9905137
48. Taylor T R and Veneziano G 1988 Phys. Lett. B 212 147 Dienes K R, Dudas E and Gherghetta T 1998 Phys. Lett. B 436 55 (Dienes K R, Dudas E and Gherghetta T 1998 Preprint hep-ph/9803466) Kakushadze Z and Taylor T R 1999 Preprint hep-th/9905137
49. Taylor T R and Veneziano G 1988 Phys. Lett. B 212 147 Dienes K R, Dudas E and Gherghetta T 1998 Phys. Lett. B 436 55 (Dienes K R, Dudas E and Gherghetta T 1998 Preprint hep-ph/9803466) Kakushadze Z and Taylor T R 1999 Preprint hep-th/9905137
50. Scherk J and Schwarz J H 1979 Phys. Lett. B 82 60 Scherk J and Schwarz J H 1979 Nucl. Phys. B 153 61 Rohm R 1984 Nucl. Phys. B 237 553 Ferrara S, Kounnas C and Porrati M 1988 Nucl. Phys. B 304 500 Ferrara S, Kounnas C, Porrati M and Zwirner F 1989 Nucl. Phys. B 318 75
51. Scherk J and Schwarz J H 1979 Phys. Lett. B 82 60 Scherk J and Schwarz J H 1979 Nucl. Phys. B 153 61 Rohm R 1984 Nucl. Phys. B 237 553 Ferrara S, Kounnas C and Porrati M 1988 Nucl. Phys. B 304 500 Ferrara S, Kounnas C, Porrati M and Zwirner F 1989 Nucl. Phys. B 318 75
52. Scherk J and Schwarz J H 1979 Phys. Lett. B 82 60 Scherk J and Schwarz J H 1979 Nucl. Phys. B 153 61 Rohm R 1984 Nucl. Phys. B 237 553 Ferrara S, Kounnas C and Porrati M 1988 Nucl. Phys. B 304 500 Ferrara S, Kounnas C, Porrati M and Zwirner F 1989 Nucl. Phys. B 318 75
53. Scherk J and Schwarz J H 1979 Phys. Lett. B 82 60 Scherk J and Schwarz J H 1979 Nucl. Phys. B 153 61 Rohm R 1984 Nucl. Phys. B 237 553 Ferrara S, Kounnas C and Porrati M 1988 Nucl. Phys. B 304 500 Ferrara S, Kounnas C, Porrati M and Zwirner F 1989 Nucl. Phys. B 318 75
54. Scherk J and Schwarz J H 1979 Phys. Lett. B 82 60 Scherk J and Schwarz J H 1979 Nucl. Phys. B 153 61 Rohm R 1984 Nucl. Phys. B 237 553 Ferrara S, Kounnas C and Porrati M 1988 Nucl. Phys. B 304 500 Ferrara S, Kounnas C, Porrati M and Zwirner F 1989 Nucl. Phys. B 318 75
55. Bachas C 1995 Preprint hep-th/9503030 Bachas C 1995 Topics in Quantum Field Theory (Maynooth, 1995) ed D Tchrakian (Singapore: World Scientific) (Bachas C 1995 Preprint hep-th/9509067) Berkooz M, Douglas M R and Leigh R G 1996 Nucl. Phys. B 480 265 (Berkooz M, Douglas M R and Leigh R G 1996 Preprint hep-th/9606139)
56. Bachas C 1995 Preprint hep-th/9503030 Bachas C 1995 Topics in Quantum Field Theory (Maynooth, 1995) ed D Tchrakian (Singapore: World Scientific) (Bachas C 1995 Preprint hep-th/9509067) Berkooz M, Douglas M R and Leigh R G 1996 Nucl. Phys. B 480 265 (Berkooz M, Douglas M R and Leigh R G 1996 Preprint hep-th/9606139)
57. Dine M and Seiberg N 1988 Nucl. Phys. B 301 357 Banks T and Dixon L J 1988 Nucl. Phys. B 307 93
58. Dine M and Seiberg N 1988 Nucl. Phys. B 301 357 Banks T and Dixon L J 1988 Nucl. Phys. B 307 93
59. Antoniadis I, Bachas C, Lewellen D and Tomaras T 1988 Phys. Lett. B 207 441
60. Polchinski J 1995 Phys. Rev. Lett. 75 4724
61. For reviews see Polchinski J 1996 Preprint hep-th/9611050 Taylor W 1998 Proc. Trieste Summer School on Particle Physics and Cosmology (Trieste, June 1997) (Taylor W 1998 Preprint hep-th/9801182) Bachas C 1998 Preprint hep-th/9806199 Bachas C 1996 Gauge Theories, Applied Supersymmetry and Quantum Gravity II ed A Sevrin et al (London: Imperial College)
62. For reviews see Polchinski J 1996 Preprint hep-th/9611050 Taylor W 1998 Proc. Trieste Summer School on Particle Physics and Cosmology (Trieste, June 1997) (Taylor W 1998 Preprint hep-th/9801182) Bachas C 1998 Preprint hep-th/9806199 Bachas C 1996 Gauge Theories, Applied Supersymmetry and Quantum Gravity II ed A Sevrin et al (London: Imperial College)
63. For reviews see Polchinski J 1996 Preprint hep-th/9611050 Taylor W 1998 Proc. Trieste Summer School on Particle Physics and Cosmology (Trieste, June 1997) (Taylor W 1998 Preprint hep-th/9801182) Bachas C 1998 Preprint hep-th/9806199 Bachas C 1996 Gauge Theories, Applied Supersymmetry and Quantum Gravity II ed A Sevrin et al (London: Imperial College)
64. Witten E 1996 Nucl. Phys. B 460 541 (Witten E 1995 Preprint hep-th/9511030)
65. Horava P and Witten E 1996 Nucl. Phys. B 460 506 (Horava P and Witten E 1995 Preprint hep-th/9510209) Horava P and Witten E 1996 Nucl. Phys. B 475 94 (Horava P and Witten E 1996 Preprint hep-th/9603142)
66. Horava P and Witten E 1996 Nucl. Phys. B 460 506 (Horava P and Witten E 1995 Preprint hep-th/9510209) Horava P and Witten E 1996 Nucl. Phys. B 475 94 (Horava P and Witten E 1996 Preprint hep-th/9603142)
67. Rubakov V and Shaposhnikov M 1983 Phys. Lett. B 125 136 Gibbons G W and Wiltshire D L 1987 Nucl. Phys. B 287 717
68. Rubakov V and Shaposhnikov M 1983 Phys. Lett. B 125 136 Gibbons G W and Wiltshire D L 1987 Nucl. Phys. B 287 717
69. Pradisi G and Sagnotti A 1989 Phys. Lett. B 216 59 Dai J, Leigh R G and Polchinski J 1989 Mod. Phys. Lett. A 4 2073 Horava P 1989 Phys. Lett. B 231 251 Bianchi M and Sagnotti A 1990 Phys. Lett. B 247 517
70. Pradisi G and Sagnotti A 1989 Phys. Lett. B 216 59 Dai J, Leigh R G and Polchinski J 1989 Mod. Phys. Lett. A 4 2073 Horava P 1989 Phys. Lett. B 231 251 Bianchi M and Sagnotti A 1990 Phys. Lett. B 247 517
71. Pradisi G and Sagnotti A 1989 Phys. Lett. B 216 59 Dai J, Leigh R G and Polchinski J 1989 Mod. Phys. Lett. A 4 2073 Horava P 1989 Phys. Lett. B 231 251 Bianchi M and Sagnotti A 1990 Phys. Lett. B 247 517
72. Pradisi G and Sagnotti A 1989 Phys. Lett. B 216 59 Dai J, Leigh R G and Polchinski J 1989 Mod. Phys. Lett. A 4 2073 Horava P 1989 Phys. Lett. B 231 251 Bianchi M and Sagnotti A 1990 Phys. Lett. B 247 517
73. Kuzmin V A, Tkachev I and Shaposhnikov M 1982 JETP Lett. 36 59 Moody J E and Wilczek F 1984 Phys. Rev. D 30 130 De Rujula A 1986 Phys. Lett. B 180 213
74. Kuzmin V A, Tkachev I and Shaposhnikov M 1982 JETP Lett. 36 59 Moody J E and Wilczek F 1984 Phys. Rev. D 30 130 De Rujula A 1986 Phys. Lett. B 180 213
75. Kuzmin V A, Tkachev I and Shaposhnikov M 1982 JETP Lett. 36 59 Moody J E and Wilczek F 1984 Phys. Rev. D 30 130 De Rujula A 1986 Phys. Lett. B 180 213
76. Taylor T R and Veneziano G 1988 Phys. Lett. B 213 450 Ellis J, Tsamis N C and Voloshin M 1987 Phys. Lett. B 194 291 Dimopoulos S and Giudice G F 1996 Phys. Lett. B 379 105 (Dimopoulos S and Giudice G F 1996 Preprint hep-ph/9602350 and references therein)
77. Taylor T R and Veneziano G 1988 Phys. Lett. B 213 450 Ellis J, Tsamis N C and Voloshin M 1987 Phys. Lett. B 194 291 Dimopoulos S and Giudice G F 1996 Phys. Lett. B 379 105 (Dimopoulos S and Giudice G F 1996 Preprint hep-ph/9602350 and references therein)
78. Taylor T R and Veneziano G 1988 Phys. Lett. B 213 450 Ellis J, Tsamis N C and Voloshin M 1987 Phys. Lett. B 194 291 Dimopoulos S and Giudice G F 1996 Phys. Lett. B 379 105 (Dimopoulos S and Giudice G F 1996 Preprint hep-ph/9602350 and references therein)
79. Kehagias A and Sfetsos K 1999 Preprint hep-ph/9905417 (to appear in Phys. Lett. B)
80. Arkani-Hamed N and Dimopoulos S 1998 Preprint hep-ph/9811353
81. Giudice G F, Rattazzi R and Wells J D 1999 Nucl. Phys. B 544 3 (Giudice G F, Rattazzi R and Wells J D 1998 Preprint hep-ph/9811291) Mirabelli E A, Perelstein M and Peskin M E 1999 Phys. Rev. Lett. 82 2236 (Mirabelli E A, Perelstein M and Peskin M E 1998 Preprint hep-ph/9811337) Han T, Lykken J D and Zhang R-J 1999 Phys. Rev. D 59 105006 (Han T, Lykken J D and Zhang R-J 1998 Preprint hep-ph/9811350) Hewett J L 1999 Phys. Rev. Lett. 82 4765 (Hewett J L 1998 Preprint hep-ph/9811356) Nussinov S and Shrock R 1999 Phys. Rev. D 59 105002 (Nussinov S and Shrock R 1998 Preprint hep-ph/9811323)
82. Giudice G F, Rattazzi R and Wells J D 1999 Nucl. Phys. B 544 3 (Giudice G F, Rattazzi R and Wells J D 1998 Preprint hep-ph/9811291) Mirabelli E A, Perelstein M and Peskin M E 1999 Phys. Rev. Lett. 82 2236 (Mirabelli E A, Perelstein M and Peskin M E 1998 Preprint hep-ph/9811337) Han T, Lykken J D and Zhang R-J 1999 Phys. Rev. D 59 105006 (Han T, Lykken J D and Zhang R-J 1998 Preprint hep-ph/9811350) Hewett J L 1999 Phys. Rev. Lett. 82 4765 (Hewett J L 1998 Preprint hep-ph/9811356) Nussinov S and Shrock R 1999 Phys. Rev. D 59 105002 (Nussinov S and Shrock R 1998 Preprint hep-ph/9811323)
83. Giudice G F, Rattazzi R and Wells J D 1999 Nucl. Phys. B 544 3 (Giudice G F, Rattazzi R and Wells J D 1998 Preprint hep-ph/9811291) Mirabelli E A, Perelstein M and Peskin M E 1999 Phys. Rev. Lett. 82 2236 (Mirabelli E A, Perelstein M and Peskin M E 1998 Preprint hep-ph/9811337) Han T, Lykken J D and Zhang R-J 1999 Phys. Rev. D 59 105006 (Han T, Lykken J D and Zhang R-J 1998 Preprint hep-ph/9811350) Hewett J L 1999 Phys. Rev. Lett. 82 4765 (Hewett J L 1998 Preprint hep-ph/9811356) Nussinov S and Shrock R 1999 Phys. Rev. D 59 105002 (Nussinov S and Shrock R 1998 Preprint hep-ph/9811323)
84. Giudice G F, Rattazzi R and Wells J D 1999 Nucl. Phys. B 544 3 (Giudice G F, Rattazzi R and Wells J D 1998 Preprint hep-ph/9811291) Mirabelli E A, Perelstein M and Peskin M E 1999 Phys. Rev. Lett. 82 2236 (Mirabelli E A, Perelstein M and Peskin M E 1998 Preprint hep-ph/9811337) Han T, Lykken J D and Zhang R-J 1999 Phys. Rev. D 59 105006 (Han T, Lykken J D and Zhang R-J 1998 Preprint hep-ph/9811350) Hewett J L 1999 Phys. Rev. Lett. 82 4765 (Hewett J L 1998 Preprint hep-ph/9811356) Nussinov S and Shrock R 1999 Phys. Rev. D 59 105002 (Nussinov S and Shrock R 1998 Preprint hep-ph/9811323)
85. Giudice G F, Rattazzi R and Wells J D 1999 Nucl. Phys. B 544 3 (Giudice G F, Rattazzi R and Wells J D 1998 Preprint hep-ph/9811291) Mirabelli E A, Perelstein M and Peskin M E 1999 Phys. Rev. Lett. 82 2236 (Mirabelli E A, Perelstein M and Peskin M E 1998 Preprint hep-ph/9811337) Han T, Lykken J D and Zhang R-J 1999 Phys. Rev. D 59 105006 (Han T, Lykken J D and Zhang R-J 1998 Preprint hep-ph/9811350) Hewett J L 1999 Phys. Rev. Lett. 82 4765 (Hewett J L 1998 Preprint hep-ph/9811356) Nussinov S and Shrock R 1999 Phys. Rev. D 59 105002 (Nussinov S and Shrock R 1998 Preprint hep-ph/9811323)
86. See, for example, Nilles H P 1984 Phys. Rep. C 110 1
87. Hashimoto A and Klebanov I 1997 Nucl. Phys. Proc. Suppl. B 55 118 (Hashimoto A and Klebanov I 1996 Preprint hep-th/9611214)
88. Ibáñez L E 1999 Preprint hep-ph/9905349
89. Arkani-Hamed N, Dimopoulos S and March-Russell J 1999 Preprint hep-th/9908146
90. Aldazabal G, Font A, Ibanez L E and Violero G 1998 Nucl. Phys. B 536 29 Ibanez L E, Rabadan R and Uranga A M 1999 Nucl. Phys. B 542 112 Antoniadis I, Bachas C and Dudas E 1999 Nucl. Phys. B 560 93 (Antoniadis I, Bachas C and Dudas E 1999 Preprint hep-th/9906039)
91. Aldazabal G, Font A, Ibanez L E and Violero G 1998 Nucl. Phys. B 536 29 Ibanez L E, Rabadan R and Uranga A M 1999 Nucl. Phys. B 542 112 Antoniadis I, Bachas C and Dudas E 1999 Nucl. Phys. B 560 93 (Antoniadis I, Bachas C and Dudas E 1999 Preprint hep-th/9906039)
92. Aldazabal G, Font A, Ibanez L E and Violero G 1998 Nucl. Phys. B 536 29 Ibanez L E, Rabadan R and Uranga A M 1999 Nucl. Phys. B 542 112 Antoniadis I, Bachas C and Dudas E 1999 Nucl. Phys. B 560 93 (Antoniadis I, Bachas C and Dudas E 1999 Preprint hep-th/9906039)