On the explicit construction and statistics of Calabi-Yau flux vacua

Journal of High Energy Physics

Volumn 8, Issue 10, 2004, Pages 863-885

  Conlon, Joseph P ^a   Quevedo, Fernando ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Superstring Vacua; Superstrings and Heterotic Strings

Indexed keywords

EID: 22144438000     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2004/10/039     Document Type: Article

References (58)

1. J. Polchinski, What is string theory?, hep-th/9411028;
2. String duality: a colloquium, Rev. Mod. Phys. 68 (1996) 1245 [hep-th/9607050].
3. For recent overall reviews see for instance: F. Quevedo, Phenomenological aspects of D-branes in Trieste 2002, superstrings and related matters, pp. 232-330;
4. E. Kiritsis, D-branes in standard model building, gravity and cosmology, Fortschr. Phys. 52 (2004) 200 [hep-th/0310001].
5. For recent reviews with many references see for instance: F. Quevedo, Lectures on string/brane cosmology, Class. and Quant. Grav. 19 (2002) 5721 [hep-th/0210292];
6. A. Linde, Prospects of inflation, hep-th/0402051;
7. C.P. Burgess, Inflatable string theory?, hep-th/0408037.
8. K. Kikkawa and M. Yamasaki, Casimir effects in superstring theories, Phys. Lett. B 149 (1984) 357;
9. N. Sakai and I. Senda, Vacuum energies of string compactified on torus, Prog. Theor. Phys. 75 (1986) 692, erratum ibid. 77 (1987) 773.
10. P. Candelas, M. Lynker and R. Schimmrigk, Calabi-Yau manifolds in weighted P(4), Nucl. Phys. B 341 (1990) 383;
11. B.R. Greene and M.R. Plesser, Duality in Calabi-Yau moduli space, Nucl. Phys. B 338 (1990) 15.
12. A. Font, L.E. Ibáñez, D. Lüst and F. Quevedo, Strong-weak coupling duality and nonperturbative effects in string theory, Phys. Lett. B 249 (1990) 35;
13. C.M. Hull and P.K. Townsend, Unity of superstring dualities, Nucl. Phys. B 438 (1995) 109 [hep-th/9410167];
14. E. Witten, String theory dynamics in various dimensions, Nucl. Phys. B 443 (1995) 85 [hep-th/9503124].
15. C.M. Hull, Superstring compactifications with torsion and space-time super symmetry, in Turin superunification, 1985, p. 347;
16. A. Strominger, Superstrings with torsion, Nucl. Phys. B 274 (1986) 253;
17. S. Sethi, C. Vafa and E. Witten, Constraints on low-dimensional string compactifications, Nucl. Phys. B 480 (1996) 213 [hep-th/9606122];
18. J. Polchinski and A. Strominger, New vacua for type-II string theory, Phys. Lett. B 388 (1996) 736 [hep-th/9510227];
19. K. Dasgupta, G. Rajesh and S. Sethi, M-theory, orientifolds and G-flux, J. High Energy Phys. 08 (1999) 023 [hep-th/9908088];
20. S. Kachru, M.B. Schulz and S. Trivedi, Moduli stabilization from fluxes in a simple iib orientifold, J. High Energy Phys. 10 (2003) 007 [hep-th/0201028].
21. S.B. Giddings, S. Kachru and J. Polchinski, Hierarchies from fluxes in string compactifications, Phys. Rev. D 66 (2002) 106006 [hep-th/0105097].
22. S. Kachru, R. Kallosh, A. Linde and S.P. Trivedi, De Sitter vacua in string theory, Phys. Rev. D 68 (2003) 046005 [hep-th/0301240].
23. For recent reviews see: V. Balasubramanian, V. Balasubramanian, Accelerating universes and string theory, Class. Quant. Grav. 21 (2004) S1337-1358 [hep-th/0404075];
24. E. Silverstein, TASI/PiTP/ISS lectures on moduli and microphysics, hep-th/0405068.
25. C. Escoda, M. Gomez-Reino and F. Quevedo, Saltatory de Sitter string vacua, J. High Energy Phys. 11 (2003) 065 [hep-th/0307160].
26. C.P. Burgess, R. Kallosh and F. Quevedo, de Sitter string vacua from supersymmetric D-terms, J. High Energy Phys. 10 (2003) 056 [hep-th/0309187].
27. V. Balasubramanian and P. Berglund, Stringy corrections to kaehler potentials, SUSY breaking and the cosmological constant problem, hep-th/0408054.
28. A. Saltman and E. Silverstein, The scaling of the no-scale potential and de Sitter model building, hep-th/0402135.
29. M.R. Douglas, The statistics of string/m theory vacua, J. High Energy Phys. 05 (2003) 046 [hep-th/0303194];
30. For a recent overview see: M.R. Douglas, Basic results in vacuum statistics, hep-th/0409207.
31. S. Ashok and M.R. Douglas, Counting flux vacua, J. High Energy Phys. 01 (2004) 060 [hep-th/0307049].
32. F. Denef and M.R. Douglas, Distributions of flux vacua, J. High Energy Phys. 05 (2004) 072 [hep-th/0404116].
33. A. Giryavets, S. Kachru and P.K. Tripathy, On the taxonomy of flux vacua, J. High Energy Phys. 08 (2004) 002 [hep-th/0404243].
34. P. Candelas, X.C. De La Ossa, P.S. Green and L. Parkes, A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory, Nucl. Phys. B 359 (1991) 21.
35. P. Berglund et al., Periods for Calabi-Yau and Landau-Ginzburg vacua, Nucl. Phys. B 419 (1994) 352 [hep-th/9308005].
36. P. Candelas, X. De La Ossa, A. Font, S. Katz and D.R. Morrison, Mirror symmetry for two parameter models, I, Nucl. Phys. B 416 (1994) 481 [hep-th/9308083].
37. A. Misra and A. Nanda, Flux vacua statistics for two-parameter Calabi-Yau's, hep-th/0407252.
38. A. Giryavets, S. Kachru, P.K. Tripathy and S.P. Trivedi, Flux compactifications on Calabi-Yau threefolds, J. High Energy Phys. 04 (2004) 003 [hep-th/0312104].
39. A. Sen, Orientifold limit of F-theory vacua, Phys. Rev. D 55 (1997) 7345 [hep-th/9702165].
40. S. Gukov, C. Vafa and E. Witten, CFT's from Calabi-Yau four-folds, Nucl. Phys. B 584 (2000) 69 [hep-th/9906070], erratum ibid. B608 (2001) 477.
41. P. Candelas and X. de la Ossa, Moduli space of Calabi-Yau manifolds, Nucl. Phys. B 355 (1991) 455.
42. P. Kaste, W. Lerche, C.A. Lutken and J. Walcher, D-branes on k3-fibrations, Nucl. Phys. B 582 (2000) 203 [hep-th/9912147].
43. A. Giryavets and S. Kachru, private communication.
44. O. DeWolfe, A. Giryavets, S. Kachru and W. Taylor, to appear.
45. B.C. Allanach, D. Grellscheid and F. Quevedo, Genetic algorithms and experimental discrimination of SUSY models, J. High Energy Phys. 07 (2004) 069 [hep-ph/0406277].
46. P.G. Camara, L.E. Ibáñez and A.M. Uranga, Flux-induced SUSY-breaking soft terms, Nucl. Phys. B 689 (2004) 195 [hep-th/0311241];
47. Flux-induced SUSY-breaking soft terms on d7-d3 brane systems, hep-th/0408036;
48. M. Grana, T.W. Grimm, H. Jockers and J. Louis, Soft supersymmetry breaking in Calabi-Yau orientifolds with D-branes and fluxes, Nucl. Phys. B 690 (2004) 21 [hep-th/0312232];
49. D. Lust, S. Reffert and S. Stieberger, Flux-induced soft supersymmetry breaking in chiral type-IIB orientifolds with d3/d7-branes, hep-th/0406092;
50. H. Jockers and J. Louis, The effective action of D7-branes in N = 1 Calabi-Yau orientifolds, hep-th/0409098.
51. F. Denef, M.R. Douglas and B. Florea, Building a better racetrack, J. High Energy Phys. 06 (2004) 034 [hep-th/0404257];
52. D. Robbins and S. Sethi, A barren landscape, hep-th/0405011;
53. L. Görlich, S. Kachru, P.K. Tripathy and S.P. Trivedi, Gaugino condensation and nonperturbative superpotentials influx compactifications, hep-th/0407130.
54. L. Kofman et al., Beauty is attractive: moduli trapping at enhanced symmetry points, J. High Energy Phys. 05 (2004) 030 [hep-th/0403001];
55. L. McAllister and I. Mitra, Relativistic D-brane scattering is extremely inelastic, hep-th/0408085;
56. S. Watson, Moduli stabilization with the string Higgs effect, hep-th/0404177.
57. G. Aldazabal, L.E. Ibáñez, F. Quevedo and A.M. Uranga, D-branes at singularities: a bottom-up approach to the string embedding of the standard model, J. High Energy Phys. 08 (2000) 002 [hep-th/0005067];
58. J.F.G. Cascales, M.P. Garcia del Moral, F. Quevedo and A.M. Uranga, Realistic D-brane models on warped throats: fluxes, hierarchies and moduli stabilization, J. High Energy Phys. 02 (2004) 031 [hep-th/0312051].