Strong coupling expansion of Calabi-Yau compactification

Nuclear Physics B

Volumn 471, Issue 1-2, 1996, Pages 135-158

  Witten, Edward ^a  

^a INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030575242     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/0550-3213(96)00190-3     Document Type: Article

References (44)

1. [1] X.-G. Wen and E. Witten, Electric and magnetic charges in superstring models, Nucl. Phys. B 261 (1985) 651.
2. [2] P. Ginsparg, Gauge and gravitational couplings in four-dimensional string theories, Phys. Lett. B 197 (1987) 139.
3. [3] V.S. Kaplunovsky, One loop threshold effects in string unification, Nucl. Phys. B 307 (1988) 145 [Erratum: B 382 (1992) 436].
4. [14] I. Antoniadis, J. Ellis, R. Lacaze and D.V. Nanopoulos, String threshold corrections and flipped SU(5), Phys. Lett. B 268 (1991) 188;
5. S. Kalara, J.L. Lopez and D.V. Nanopoulos, Threshold corrections and modular invariance in free fermionic strings, Phys. Lett. B 269 (1991) 84.
6. [5] P. Mayr, H.P. Nilles and S. Stieberger, String unification and threshold corrections, Phys. Lett. B 317 (1993) 53.
7. [6] D.C. Lewellen, Embedding higher-level Kac-Moody algebras in heterotic string models, Nucl. Phys. B 337 (1990) 61.
8. [7] A. Font, L.E. Ibanez and F. Quevedo, Higher-level Kac-Moody string models and their phenomenological implications, Nucl. Phys. B 345 (1990) 389.
9. [8] G. Aldazabal, A. Font, L.E. Ibanez and A.M. Uranga, String GUT's, Nucl. Phys. B 452 (1995) 3; Building GUTS from strings, hep-th/9508033.
10. [8] G. Aldazabal, A. Font, L.E. Ibanez and A.M. Uranga, String GUT's, Nucl. Phys. B 452 (1995) 3; Building GUTS from strings, hep-th/9508033.
11. [9] S. Chaudhuri, S.-W. Chung, G. Hockney and J. Lykken, String consistency for unified model building; S. Chaudhuri, G. Hockney and J. Lykken, Three generations in the fermionic construction.
12. [9] S. Chaudhuri, S.-W. Chung, G. Hockney and J. Lykken, String consistency for unified model building; S. Chaudhuri, G. Hockney and J. Lykken, Three generations in the fermionic construction.
13. [10] D. Finnell, Grand unification with three generations in free fermionic string models, hep-th/9508073.
14. [11] L.E. Ibanez, Gauge coupling unification: Strings vs. SUSY GUT's, Phys. Lett. B 318 (1993) 73.
15. [12] K.R. Dienes, A.E. Faraggi and J. March-Russell, String unification, higher-level gauge symmetries, and exotic hypercharge normalizations, hep-th/9510223.
16. [13] L.J. Dixon, V.S. Kaplunovsky and J. Louis, Moduli dependence of string loop corrections to gauge coupling constants, Nucl. Phys. B 355 (1991) 649.
17. [14] K.R. Dienes and A.E. Faraggi, Making ends meet: String unification and low-energy data, Phys. Rev. Lett. 75 (1995) 2646; Gauge coupling unification in realistic free-fermionic string models, Nucl. Phys. B 457 (1995) 409.
18. [14] K.R. Dienes and A.E. Faraggi, Making ends meet: String unification and low-energy data, Phys. Rev. Lett. 75 (1995) 2646; Gauge coupling unification in realistic free-fermionic string models, Nucl. Phys. B 457 (1995) 409.
19. [15] J.L. Lopez, D.V. Nanopoulos and K. Yuan, The search for a realistic flipped SU(5) standard model; J.L. Lopez and D.V. Nanopoulos, A new scenario for string unification, hep-ph/9511426.
20. [15] J.L. Lopez, D.V. Nanopoulos and K. Yuan, The search for a realistic flipped SU(5) standard model; J.L. Lopez and D.V. Nanopoulos, A new scenario for string unification, hep-ph/9511426.
21. [16] K.R. Dienes, String theory and the path to unification: A review of recent developments, hep-th/9602045.
22. [17] T. Banks and M. Dine, Coping with strongly coupled string theory, Phys. Rev. D 50 (1994) 7454; M. Dine, Coming to terms with strongly coupled strings, hep-th/9508085.
23. [17] T. Banks and M. Dine, Coping with strongly coupled string theory, Phys. Rev. D 50 (1994) 7454; M. Dine, Coming to terms with strongly coupled strings, hep-th/9508085.
24. [18] E. Witten, String theory dynamics in various dimensions, Nucl. Phys. B 433 (1995) 85.
25. [19] A. Dabholkar, Ten dimensional heterotic string as a soliton, Phys. Lett. B 357 (1995) 307.
26. [20] C.M. Hull, String-string duality in ten dimensions, Phys. Lett. B 357 (1995) 545.
27. [21] J. Polchinski and E. Witten, Evidence for heterotic - type I string duality, Nucl. Phys. B 460 (1996) 525.
28. [22] P. Horava and E. Witten, Heterotic and type I string dynamics from eleven dimensions, Nucl. Phys. B 460 (1996) 506.
29. [23] P. Horava and E. Witten, to appear.
30. [24] L. Witten and E. Witten, Large radius expansion of superstring compactifications, Nucl. Phys. B 281 (1987) 109.
31. [25] E. Witten, Five-branes and M-theory on an orbifold, Nucl. Phys. B 463 (1996) 383.
32. [26] K. Dasgupta and S. Mukhi, Orbifolds of M-theory, Nucl. Phys. B 465 (1996) 399.
33. [27] M. Dine and N. Seiberg, Is the superstring weakly coupled?, Phys. Lett. B 162 (1985) 299; Is the superstring semiclassical?, in Unified string theories, eds. M.B. Green and D.J. Gross (World Scientific, Singapore, 1986).
34. [27] M. Dine and N. Seiberg, Is the superstring weakly coupled?, Phys. Lett. B 162 (1985) 299; Is the superstring semiclassical?, in Unified string theories, eds. M.B. Green and D.J. Gross (World Scientific, Singapore, 1986).
35. [28] M. Dine and Y. Shirman, Truly strong couplings and large radius in string theory, to appear.
36. [29] E. Bergshoeff, M. de Roo, B. De Wit and P. van Nieuwenhuysen, Ten-dimensional Maxwell-Einstein supergravity, its currents, and the issue of its auxiliary fields, Nucl. Phys. B 195 (1982) 97.
37. [30] M. Duff, R. Minasian and E. Witten, Evidence for heterotic/heterotic duality, hep-th/9601036.
38. [31] K. Becker, M. Becker and A. Strominger, Five-branes, membranes, and nonperturbative string theory, Nucl. Phys. B 456 (1995) 130.
39. [32] M.J. Duff, R. Minasian and J.T. Liu, Eleven-dimensional origin of string/string duality, Nucl. Phys. B 452 (1995) 261.
40. 2, to appear.
41. [34] A. Dabholkar and J. Park, An orientifold of type IIB theory on K3, hep-th/9602030.
42. [35] C. Vafa, Evidence for F-theory, hep-th/9602022.
43. [36] R. Guven, Phys. Lett. B 276 (1992) 49.
44. [37] M.J. Duff, G.W. Gibbons and P.K. Townsend, Phys. Lett. B 332 (1994) 321.