Fluxes and warping for gauge couplings in F-theory

Journal of High Energy Physics

Volumn 2013, Issue 1, 2013, Pages

  Grimm, Thomas W ^a   Klevers, Denis ^b   Poretschkin, Maximilian ^c  

^a MAX PLANCK INSTITUT FÜR PHYSIK   (Germany)

^b UNIVERSITY OF PENNSYLVANIA   (United States)

^c UNIVERSITY OF BONN   (Germany)

Author keywords

D branes; F Theory; M Theory; String Duality

Indexed keywords

EID: 84872279116     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP01(2013)023     Document Type: Article

References (58)

1. C. Vafa, Evidence for F-theory, Nucl. Phys. B 469 (1996) 403 [ hep-th/9602022 ] [ INSPIRE ].
2. F. Denef, Les Houches lectures on constructing string vacua, arXiv:0803.1194 [ INSPIRE ].
3. K. Dasgupta, G. Rajesh and S. Sethi, M theory, orientifolds and G-flux, JHEP 08 (1999) 023 [ hep-th/9908088 ] [ INSPIRE ].
4. T.W. Grimm, The N = 1 effective action of F-theory compactifications, Nucl. Phys. B 845 (2011) 48 [ arXiv:1008.4133 ] [ INSPIRE ].
5. M.R. Douglas and S. Kachru, Flux compactification, Rev. Mod. Phys. 79 (2007) 733 [ hep-th/0610102 ] [ INSPIRE ].
6. R. Donagi and M. Wijnholt, Model building with F-theory, Adv. Theor. Math. Phys. 15 (2011) 1237 [ arXiv:0802.2969 ] [ INSPIRE ].
7. C. Beasley, J.J. Heckman and C. Vafa, GUTs and exceptional branes in F-theory - I, JHEP 01 (2009) 058 [ arXiv:0802.3391 ] [ INSPIRE ].
8. A.P. Braun, A. Collinucci and R. Valandro, G-flux in F-theory and algebraic cycles, Nucl. Phys. B 856 (2012) 129 [ arXiv:1107.5337 ] [ INSPIRE ].
9. J. Marsano and S. Schäfer-Nameki, Yukawas, G-flux and spectral covers from resolved Calabi-Yau's, JHEP 11 (2011) 098 [ arXiv:1108.1794 ] [ INSPIRE ].
10. 4 flux, chiral matter and singularity resolution in F-theory compactifications, Nucl. Phys. B 858 (2012) 1 [ arXiv:1109.3454 ] [ INSPIRE ].
11. T.W. Grimm and H. Hayashi, F-theory fluxes, chirality and Chern-Simons theories, JHEP 03 (2012) 027 [ arXiv:1111.1232 ] [ INSPIRE ].
12. K. Becker and M. Becker, M theory on eight manifolds, Nucl. Phys. B 477 (1996) 155 [ hep-th/9605053 ] [ INSPIRE ].
13. M. Berg, M. Haack and B. Körs, Loop corrections to volume moduli and inflation in string theory, Phys. Rev. D 71 (2005) 026005 [ hep-th/0404087 ] [ INSPIRE ].
14. D. Baumann, A. Dymarsky, I.R. Klebanov, J.M. Maldacena, L.P. McAllister, et al., On D3-brane potentials in compactifications with fluxes and wrapped D-branes, JHEP 11 (2006) 031 [ hep-th/0607050 ] [ INSPIRE ].
15. S.B. Giddings, S. Kachru and J. Polchinski, Hierarchies from fluxes in string compactifications, Phys. Rev. D 66 (2002) 106006 [ hep-th/0105097 ] [ INSPIRE ].
16. S.B. Giddings and A. Maharana, Dynamics of warped compactifications and the shape of the warped landscape, Phys. Rev. D 73 (2006) 126003 [ hep-th/0507158 ] [ INSPIRE ].
17. C. Burgess, et al., Warped supersymmetry breaking, JHEP 04 (2008) 053 [ hep-th/0610255 ] [ INSPIRE ].
18. G. Shiu, G. Torroba, B. Underwood and M.R. Douglas, Dynamics of warped flux compactifications, JHEP 06 (2008) 024 [ arXiv:0803.3068 ] [ INSPIRE ].
19. M.R. Douglas and G. Torroba, Kinetic terms in warped compactifications, JHEP 05 (2009) 013 [ arXiv:0805.3700 ] [ INSPIRE ].
20. L. Martucci, On moduli and effective theory of N = 1 warped flux compactifications, JHEP 05 (2009) 027 [ arXiv:0902.4031 ] [ INSPIRE ].
21. H. Jockers and J. Louis, The effective action of D7-branes in N = 1 Calabi-Yau orientifolds, Nucl. Phys. B 705 (2005) 167 [ hep-th/0409098 ] [ INSPIRE ].
22. N. Akerblom, R. Blumenhagen, D. Lüst and M. Schmidt-Sommerfeld, Thresholds for intersecting D-branes revisited, Phys. Lett. B 652 (2007) 53 [ arXiv:0705.2150 ] [ INSPIRE ].
23. G. Honecker, Kähler metrics and gauge kinetic functions for intersecting D6-branes on toroidal orbifolds - The complete perturbative story, Fortsch. Phys. 60 (2012) 243 [ arXiv:1109.3192 ] [ INSPIRE ].
24. W. Lerche and S. Stieberger, Prepotential, mirror map and F-theory on K3, Adv. Theor. Math. Phys. 2 (1998) 1105 [Erratum ibid. 3 (1999) 1199-2000] [ hep-th/9804176 ] [ INSPIRE ].
25. W. Lerche, S. Stieberger and N. Warner, Quartic gauge couplings from K3 geometry, Adv. Theor. Math. Phys. 3 (1999) 1575 [ hep-th/9811228 ] [ INSPIRE ].
26. J. Marsano, N. Saulina and S. Schäfer-Nameki, F-theory compactifications for supersymmetric GUTs, JHEP 08 (2009) 030 [ arXiv:0904.3932 ] [ INSPIRE ].
27. R. Blumenhagen, T.W. Grimm, B. Jurke and T. Weigand, Global F-theory GUTs, Nucl. Phys. B 829 (2010) 325 [ arXiv:0908.1784 ] [ INSPIRE ].
28. C.-M. Chen, J. Knapp, M. Kreuzer and C. Mayrhofer, Global SO(10) F-theory GUTs, JHEP 10 (2010) 057 [ arXiv:1005.5735 ] [ INSPIRE ].
29. M. Cvetič, I. Garcia-Etxebarria and J. Halverson, Global F-theory models: instantons and gauge dynamics, JHEP 01 (2011) 073 [ arXiv:1003.5337 ] [ INSPIRE ].
30. P.G. Camara, E. Dudas and E. Palti, Massive wavefunctions, proton decay and FCNCs in local F-theory GUTs, JHEP 12 (2011) 112 [ arXiv:1110.2206 ] [ INSPIRE ].
31. R. Donagi and M. Wijnholt, Breaking GUT groups in F-theory, Adv. Theor. Math. Phys. 15 (2011) 1523 [ arXiv:0808.2223 ] [ INSPIRE ].
32. R. Blumenhagen, Gauge coupling unification in F-theory grand unified theories, Phys. Rev. Lett. 102 (2009) 071601 [ arXiv:0812.0248 ] [ INSPIRE ].
33. M.B. Schulz, Calabi-Yau duals of torus orientifolds, JHEP 05 (2006) 023 [ hep-th/0412270 ] [ INSPIRE ].
34. G. Gibbons and S. Hawking, Gravitational multi-instantons, Phys. Lett. B 78 (1978) 430 [ INSPIRE ].
35. H. Ooguri and C. Vafa, Summing up D instantons, Phys. Rev. Lett. 77 (1996) 3296 [ hep-th/9608079 ] [ INSPIRE ].
36. D. Gaiotto, G.W. Moore and A. Neitzke, Four-dimensional wall-crossing via three-dimensional field theory, Commun. Math. Phys. 299 (2010) 163 [ arXiv:0807.4723 ] [ INSPIRE ].
37. T.W. Grimm and J. Louis, The effective action of N = 1 Calabi-Yau orientifolds, Nucl. Phys. B 699 (2004) 387 [ hep-th/0403067 ] [ INSPIRE ].
38. T.W. Grimm, T.-W. Ha, A. Klemm and D. Klevers, The D5-brane effective action and superpotential in N = 1 compactifications, Nucl. Phys. B 816 (2009) 139 [ arXiv:0811.2996 ] [ INSPIRE ].
39. T.W. Grimm and D.V. Lopes, The N = 1 effective actions of D-branes in type IIA and IIB orientifolds, Nucl. Phys. B 855 (2012) 639 [ arXiv:1104.2328 ] [ INSPIRE ].
40. M. Kerstan and T. Weigand, The effective action of D6-branes in N = 1 type IIA orientifolds, JHEP 06 (2011) 105 [ arXiv:1104.2329 ] [ INSPIRE ].
41. T.W. Grimm and T. Weigand, On abelian gauge symmetries and proton decay in global F-theory GUTs, Phys. Rev. D 82 (2010) 086009 [ arXiv:1006.0226 ] [ INSPIRE ].
42. T.W. Grimm, M. Kerstan, E. Palti and T. Weigand, Massive abelian gauge symmetries and fluxes in F-theory, JHEP 12 (2011) 004 [ arXiv:1107.3842 ] [ INSPIRE ].
43. F. Bonetti and T.W. Grimm, Six-dimensional (1,0) effective action of F-theory via M-theory on Calabi-Yau threefolds, JHEP 05 (2012) 019 [ arXiv:1112.1082 ] [ INSPIRE ].
44. P. Townsend, The eleven-dimensional supermembrane revisited, Phys. Lett. B 350 (1995) 184 [ hep-th/9501068 ] [ INSPIRE ].
45. P. Ruback, The motion of Kaluza-Klein monopoles, Commun. Math. Phys. 107 (1986) 93 [ INSPIRE ].
46. A. Sen, A note on enhanced gauge symmetries in M and string theory, JHEP 09 (1997) 001 [ hep-th/9707123 ] [ INSPIRE ].
47. M. Bianchi, F. Fucito, G. Rossi and M. Martellini, Explicit construction of Yang-Mills instantons on ALE spaces, Nucl. Phys. B 473 (1996) 367 [ hep-th/9601162 ] [ INSPIRE ].
48. M. Blau and M. O'Loughlin, Aspects of U duality in matrix theory, Nucl. Phys. B 525 (1998) 182 [ hep-th/9712047 ] [ INSPIRE ].
49. E. Eyras and Y. Lozano, Exotic branes and nonperturbative seven-branes, Nucl. Phys. B 573 (2000) 735 [ hep-th/9908094 ] [ INSPIRE ].
50. L. Grafakos, Classical Fourier analysis, Springer-Verlag, Berlin Germany (2008).
51. P.S. Aspinwall, M theory versus F-theory pictures of the heterotic string, Adv. Theor. Math. Phys. 1 (1998) 127 [ hep-th/9707014 ] [ INSPIRE ].
52. A. Sen, F theory and orientifolds, Nucl. Phys. B 475 (1996) 562 [ hep-th/9605150 ] [ INSPIRE ].
53. A. Sen, Orientifold limit of F-theory vacua, Phys. Rev. D 55 (1997) 7345 [ hep-th/9702165 ] [ INSPIRE ].
54. T.W. Grimm and R. Savelli, Gravitational instantons and fluxes from M/F-theory on Calabi-Yau fourfolds, Phys. Rev. D 85 (2012) 026003 [ arXiv:1109.3191 ] [ INSPIRE ].
55. C. Angelantonj, I. Florakis and B. Pioline, A new look at one-loop integrals in string theory, Commun. Num. Theor. Phys. 6 (2012) 159 [ arXiv:1110.5318 ] [ INSPIRE ].
56. M.B. Green, S.D. Miller and P. Vanhove, Small representations, string instantons and Fourier modes of Eisenstein series (with an appendix by D. Ciubotaru and p. Trapa), arXiv:1111.2983 [ INSPIRE ].
57. G. Girardi and R. Grimm, The superspace geometry of gravitational Chern-Simons forms and their couplings to linear multiplets: a review, Annals Phys. 272 (1999) 49 [ hep-th/9801201 ] [ INSPIRE ].
58. C.W. Misner, The flatter regions of Newman, unti and Tamburino's generalized Schwarzschild space, J. Math. Phys. 4 (1963) 924 [ INSPIRE ].