Fixing all moduli in a simple F-theory compactification

Advances in Theoretical and Mathematical Physics

Volumn 9, Issue 6, 2005, Pages 861-929

  Denef, Frederik ^a   Douglas, Michael R ^a,b   Florea, Bogdan ^a   Grassi, Antonella ^c   Kachru, Shamit ^d  

^a RUTGERS UNIVERSITY   (United States)

^b INSTITUT DES HAUTES ÉTUDES SCIENTIFIQUES   (France)

^c UNIVERSITY OF PENNSYLVANIA   (United States)

^d SLAC NATIONAL ACCELERATOR LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34247855380     PISSN: 10950761     EISSN: 10950753     Source Type: Journal    
DOI: 10.4310/ATMP.2005.v9.n6.a1     Document Type: Article

References (107)

1. B.S. Acharya, A moduli fixing mechanism in M-theory.
2. O. Aharony, C. Sonnenschein, S. Yankielowicz and S. Theisen, Field theory questions for string theory answers, Nucl. Phys. B 493 (1997) 177.
3. G. Aldazabal, A. Font, L.E. Ibanez and G. Violero, D = 4, N = 1, type IIB orientifolds, Nucl. Phys. B 536 (1998) 29.
4. C. Angelantonj, I. Antoniadis, G. D'Appollonio, E. Dudas and A. Sagnotti, Type I vacua with brane supersymmetry breaking, Nucl. Phys. B 572 (2000) 36.
5. C. Angelantonj and A. Sagnotti, Open strings, Phys. Rept. 371 (2002) 1 [Erratum-ibid. 376 (2003) 339.].
6. S. Ashok and M.R. Douglas, Counting flux vacua, JHEP 401 (2004) 60.
7. P.S. Aspinwall, Enhanced gauge symmetries and K3 surfaces, Phys. Lett. B357 (1995) 329.
8. V. Balasubramanian and P. Berglund, Stringy corrections to K̈ahler potentials, Susy breaking, and the cosmological constant problem, JHEP 411 (2004) 85.
9. V. Balasubramanian, P. Berglund, J. Conlon and F. Quevedo, Systematics of moduli stabilisation in Calabi-Yau flux compactifications.
10. K. Becker, M. Becker, M. Haack and J. Louis, Supersymmetry breaking and α'-corrections to flux induced potentials, JHEP 206 (2002) 60.
11. O. Bergman, E.G. Gimon and S. Sugimoto, Orientifolds, RR torsion, and K-theory, JHEP 105 (2001) 47.
12. M. Berkooz and R.G. Leigh, AD = 4, N = 1 orbifold of type I strings, Nucl. Phys. B483 (1997) 187.
13. M. Berkooz, R.G. Leigh, J. Polchinski, J.H. Schwarz, N. Seiberg and E. Witten, Anomalies, dualities, and topology of D = 6 N = 1 super-string vacua, Nucl. Phys. B475 (1996) 115.
14. 5 background.
15. M. Bershadsky, K. Intriligator, S. Kachru, D.R. Morrison, V. Sadov and C. Vafa, Geometric singularities and enhanced gauge symmetries, Nucl. Phys. B 481 (1996) 215.
16. M. Bianchi, Ph.D. thesis, preprint ROM2F-92/13.
17. A. Sagnotti, Anomaly cancellations and open-string theories.
18. M. Billo, S. Cacciatori, F. Denef, P. Fre, A. van Proeyen and D. Zanon, The 0-brane action in a general D = 4 supergravity background, Class. Quant. Grav. 16 (1999) 2335.
19. J.D. Blum and A. Zaffaroni, An orientifold from F-theorys, Phys. Lett. B387 (1996) 71.
20. R. Blumenhagen, M. Cvetic, F. Marchesano and G. Shiu, Chiral D-brane models with frozen open string moduli.
21. R. Blumenhagen, D. Lust and T. Taylor, Moduli stabilization in chiral type IIB orientifold models with fluxes, Nucl. Phys. B663 (2003) 319.
22. C. Borcea, K3 surfaces with involution and mirror pairs of Calabi-Yau manifolds, Mirror Symmetry II, International Press, Cambridge (1996) 717.
23. R. Bousso and J. Polchinski, Quantization of four-form fluxes and dynamical neutralization of the cosmological constant, JHEP 6 (2000) 006.
24. I. Brunner and K. Hori, Orientifolds and mirror symmetry, JHEP 411 (2004) 5.
25. I. Brunner, K. Hori, K. Hosomichi and J. Walcher, Orientifolds of Gepner models.
26. P. Camara, L. Ibanez and A. Uranga, Flux-induced Susy-breaking soft terms on D7-D3 brane systems, Nucl. Phys. B 708 (2005) 268.
27. P. Camara, L. Ibanez and A. Uranga, Flux induced Susy breaking soft terms, Nucl. Phys. B 689 (2004) 195.
28. P. Candelas and A. Font, Duality between the webs of heterotic and type II vacua, Nucl. Phys. B 511 (1998) 295.
29. J. Cascales and A. Uranga, Chiral 4D string vacua with D-branes and NS-NS and R-R fluxes, JHEP 305 (2003) 11.
30. Y.K. Cheung and Z. Yin, Anomalies, branes, and currents, Nucl. Phys. B 517 (1998) 69.
31. B. Craps and F. Roose, (Non-)Anomalous D-brane and O-plane couplings: the normal bundle, Phys. Lett. B 450 (1999) 358.
32. M. Cvetic, T. Li and T. Liu, Standard-like models as type IIB flux vacua.
33. A. Dabholkar and J. Park, A note on orientifolds and F-theory, Phys. Lett. B 394 (1997) 302.
34. 2 orientifolds, Nucl. Phys. B 523 (1998) 465.
35. K. Dasgupta, G. Rajesh and S. Sethi, M theory, orientifolds and G-flux, JHEP 9908 (1999) 23.
36. X. de la Ossa, B. Florea and H. Skarke, D-branes on noncompact Calabi-Yau manifolds: K-theory and monodromy, Nucl. Phys. B 644 (2002) 170.
37. F. Denef and M.R. Douglas, Distributions of flux vacua, JHEP 405 (2004) 72,.
38. F. Denef and M.R. Douglas, Distributions of nonsupersymmetric flux vacua.
39. F. Denef, M.R. Douglas and B. Florea, Building a better racetrack, JHEP 406 (2004) 34.
40. O. DeWolfe, A. Giryavets, S. Kachru and W. Taylor, Enumerating flux vacua with enhanced symmetries.
41. D.E. Diaconescu, M.R. Douglas and J. Gomis, Fractional branes and wrapped branes, JHEP 9802 (1998) 13.
42. 8 gauge theory.
43. M. Dine, D. O'Neil and Z. Sun, Branches of the Landscape.
44. A. Hanany and B. Kol, On orientifolds, discrete torsion, branes and M-theory, JHEP 6 (2000) 013.
45. M.R. Douglas, The statistics of string/M-theory vacua, JHEP 305 (2003) 46.
46. M.R. Douglas and G.W. Moore, D-branes, quivers and ALE instantons.
47. A. Font and L. Ibanez, SUSY-breaking soft terms in a MSSM magnetized D7-brane model.
48. D. Freed and G. Moore, unpublished. D. Freed and E. Witten, Anomalies in string theory with D-branes.
49. A. Frey and J. Polchinski, N = 3 warped compactifications, Phys. Rev. D 65 (2002) 126009.
50. O. Ganor, A note on zeroes of superpotentials in F-theory, Nucl. Phys. B 499 (1997) 55.
51. S. Giddings, S. Kachru and J. Polchinski, Hierarchies from fluxes in string compactifications, Phys. Rev. D 66 (2002) 106006.
52. E. Gimon and J. Polchiski, Consistency conditions for orientifolds and D-manifolds, Phys. Rev. D 54 (1996) 1667.
53. A. Giryavets, S. Kachru, P. Tripathy and S. Trivedi, Flux compactifications on Calabi-Yau threefolds, JHEP 404 (2004) 3.
54. R. Gopakumar and S. Mukhi, Orbifold and orientifold compactifications of F-theory and M-theory to six-dimensions and four-dimensions, Nucl. Phys. B 479 (1996) 260.
55. L. Görlich, S. Kachru, P.K. Tripathy and S.P. Trivedi, Gaugino condensation and nonperturbative superpotentials in flux compactifications.
56. A. Grassi, Divisors on elliptic Calabi-Yau 4-folds and the superpotential in F-theory-I.
57. B.R. Greene, D-brane topology changing transitions, Nucl. Phys. B 525 (1998) 284.
58. M.B. Green, J.A. Harvey and G.W. Moore, I-brane inflow and anomalous couplings on D-branes, Class. Quant. Grav. 14 (1997) 47.
59. P. Griffths and J. Harris, Principles of Algebraic Geometry, Wiley, 1978, New York.
60. T.W. Grimm and J. Louis, The effective action of N = 1 Calabi-Yau orientifolds.
61. S. Gukov, C. Vafa and E. Witten, CFT's from Calabi-Yau fourfolds, Nucl. Phys. B 584 (2000) 69.
62. S. Hosono, A. Klemm and S. Theisen, Lectures on mirror symmetry.
63. H. Jockers and J. Louis, The effective action of D7-branes in M = 1 Calabi-Yau orientifolds, Nucl. Phys. B 705 (2005) 167.
64. H. Jockers and J. Louis, D-terms and F-terms from D7-brane fluxes.
65. S. Kachru, R. Kallosh, A. Linde and S.P. Trivedi, de Sitter vacua in string theory, Phys. Rev. D 68 (2003) 46005.
66. S. Kachru, J. Pearson and H. Verlinde, Brane/flux annihilation and the string dual of a nonsupersymmetric field theory, JHEP 206 (2002) 21.
67. S. Kachru, M. Schulz and S. Trivedi, Moduli stabilization from fluxes in a simple IIB orientifold.
68. R. Kallosh and D. Sorokin, Dirac action on M5 and M2 branes with bulk fluxes.
69. S. Katz and C. Vafa, Geometric engineering of N = 1 quantum field theories, Nucl. Phys. B 497 (1997) 196.
70. I. Klebanov and M. Strassler, Supergravity and a confining gauge theory: duality cascades and χSB resolution of naked singularities, JHEP 8 (2000) 52.
71. M. Klein and R. Rabadan, Orientifolds with discrete torsion, JHEP 7 (2000) 40.
72. M Orientifolds with and without discrete torsion, JHEP 10 (2000) 49.
73. M. Klein and R. Rabadan, D = 4, N = 1 orientifolds with vector structure, Nucl. Phys. B 596 (2001) 197.
74. K. Kodaira, On compact analytic surfaces II, Ann. of Math. 77 (1963) 3.
75. J. Kollar and S. Mori, Birational Geometry of Algebraic Varieties, Vol. 134, Cambridge University Press, Cambridge, 1998.
76. D. Lust, P. Mayr, S. Reffert and S. Stieberger, F-theory flux, destabi-lization of orientifolds and soft terms on D7-branes.
77. D. Lust, S. Reffert and S. Stieberger, Flux-induced soft supersymmetry breaking in chiral type IIB orientifolds with D3/D7-branes, Nucl. Phys. B 706 (2005) 3.
78. D. Lust, S. Reffert and S. Stieberger, MSSM with soft susy breaking terms from D7-branes with fluxes,.
79. A. Maloney, E. Silverstein and A. Strominger, de Sitter space in non-critical string theory.
80. F. Marchesano and G. Shiu, Building MSSM flux vacua, JHEP 411 (2004) 041,.
81. P. Mayr, On supersymmetry breaking in string theory and its realization in brane worlds, Nucl. Phys. B 593 (2001) 99.
82. R. Minasian and G.W. Moore, K-theory and Ramond-Ramond charge, JHEP 9711 (1997) 2.
83. G.W. Moore, Les Houches lectures on strings and arithmetic.
84. G.W. Moore, Anomalies, Gauss laws, and page charges in M-theory.
85. V.V. Nikulin, Discrete reflection groups in Lobachevsky spaces and algebraic surfaces, Proc. ICM, Berkeley, California, 1986 654.
86. J. Park, R. Rabadan and A.M. Uranga, Orientifolding the conifold, Nucl. Phys. B 570 (2000) 38.
87. J. Polchinski, Tensors from K3 orientifolds, Phys. Rev. D 55 (1997) 6423.
88. J. Polchinski, String Theory, Vols. I and II, Cambridge University Press, 1998.
89. M. Reid, Canonical 3-folds, J. de Ǵeom. Alǵebrique d'Angers (1980) 273.
90. D. Robbins and S. Sethi, A Barren landscape.
91. A. Saltman and E. Silverstein, The scaling of the no-scale potential and de Sitter model building, JHEP 411 (2004) 66.
92. A. Sen, F-theory and orientifolds, Nucl. Phys. B 475 (1996) 562.
93. A. Sen, Orientifold limit of F-theory vacua, Phys. Rev. D 55 (1997) 7345.
94. A. Sen and S. Sethi, The mirror transform of type I vacua in six dimensions, Nucl. Phys. B 499 (1997) 45-54.
95. S. Sethi, A relation between N = 8 gauge theories in three dimensions, JHEP 9811 (1998) 3.
96. E. Silverstein, AdS and dS entropy from string junctions or the function of junction conjunctions.
97. B.J. Stefanski, Gravitational couplings of D-branes and O-planes, Nucl. Phys. B 548(1999) 275.
98. L. Susskind, The anthropic landscape of string theory.
99. T. Taylor and C. Vafa, RR flux on Calabi-Yau and partial supersym-metry breaking, Phys. Lett. B 474 (2000) 130.
100. P. Tripathy and S. Trivedi, D3 brane action and fermion zero modes in presence of background flux.
101. C. Vafa and E. Witten, On orbifolds with discrete torsion, J. Geom. Phys. 15 (1995) 189.
102. C. Voisin, Mirrors and involutions on K3 surfaces, Journées de Géométrie Alǵebrique d'Orsay, Astérisque 218 (1993) 273.
103. E. Witten, Non-perturbative superpotentials in string theory, Nucl. Phys. B 474 (1996) 343.
104. E. Witten, On flux quantization in M-theory and the effective action, J. Geom. Phys. 22 (1997) 1.
105. E. Witten, Fivebrane effective action in M-theory, J. Geom. Phys. 22 (1997) 103.
106. E. Witten, Baryons and branes in anti de sitter space, JHEP 9807 (1998) 6.
107. E. Witten, Duality relations among topological effects in string theory, JHEP 5 (2000) 31.