Toric construction of global F-theory GUTs

Journal of High Energy Physics

Volumn 2011, Issue 3, 2011, Pages

  Knapp, Johanna ^a,b   Kreuzer, Maximilian ^a   Mayrhofer, Christoph ^c   Walliser, Nils Ole ^a  

^a VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

^b UNIVERSITY OF TOKYO   (Japan)

^c INSTITUT FÜR THEORETISCHE PHYSIK   (Germany)

Author keywords

F theory; Superstring vacua

Indexed keywords

EID: 80052738311     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP03(2011)138     Document Type: Article

References (57)

1. http://hep.itp.tuwien.ac.at/f-theory/.
2. R. Donagi and M. Wijnholt, Model Building with F-theory, arXiv:0802.2969.
3. C. Beasley, J. J. Heckman and C. Vafa, GUTs and Exceptional Branes in F-theory - I, JHEP 01 (2009) 058 [arXiv:0802.3391].
4. C. Beasley, J. J. Heckman and C. Vafa, GUTs and Exceptional Branes in F-theory - II: Experimental Predictions, JHEP 01 (2009) 059 [arXiv:0806.0102].
5. J. J. Heckman, Particle Physics Implications of F-theory, arXiv:1001.0577.
6. B. Andreas and G. Curio, From Local to Global in F-theory Model Building, J. Geom. Phys. 60 (2010) 1089 [arXiv:0902.4143].
7. R. Blumenhagen, T. W. Grimm, B. Jurke and T. Weigand, Global F-theory GUTs, Nucl. Phys. B 829 (2010) 325 [arXiv:0908.1784].
8. PQ, JHEP 04 (2010) 095 [arXiv:0912.0272].
9. T. W. Grimm, S. Krause and T. Weigand, F-Theory GUT Vacua on Compact Calabi-Yau Fourfolds, JHEP 07 (2010) 037 [arXiv:0912.3524].
10. R. Blumenhagen, A. Collinucci and B. Jurke, On Instanton Effects in F-theory, JHEP 08 (2010) 079 [arXiv:1002.1894].
11. M. Cvetič, I. Garcia-Etxebarria and J. Halverson, Global F-theory Models: Instantons and Gauge Dynamics, JHEP 01 (2011) 073 [arXiv:1003.5337].
12. H. Hayashi, T. Kawano, Y. Tsuchiya and T. Watari, More on Dimension-4 Proton Decay Problem in F-theory - Spectral Surface, Discriminant Locus and Monodromy, Nucl. Phys. B 840 (2010) 304 [arXiv:1004.3870].
13. 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].
14. J. Marsano, N. Saulina and S. Schäfer-Nameki, A Note on G-fluxes for F-theory Model Building, JHEP 11 (2010) 088 [arXiv:1006.0483].
15. Y.-C. Chung, On Global Flipped SU (5) GUTs in F-theory, arXiv:1008.2506.
16. M. Cvetič, I. Garcia-Etxebarria and J. Halverson, On the computation of non-perturbative effective potentials in the string theory landscape - IIB/F-theory perspective, arXiv:1009.5386.
17. S. Cecotti, C. Cordova, J. J. Heckman and C. Vafa, T-Branes and Monodromy, arXiv:1010.5780.
18. J. Marsano, Hypercharge Flux, Exotics and Anomaly Cancellation in F-theory GUTs, Phys. Rev. Lett. 106 (2011) 081601 [arXiv:1011.2212].
19. A. Collinucci and R. Savelli, On Flux Quantization in F-theory, arXiv:1011.6388.
20. C.-C. Chiou, A. E. Faraggi, R. Tatar and W. Walters, T-branes and Yukawa Couplings, arXiv:1101.2455.
21. T. Weigand, Lectures on F-theory compactifications and model building, Class. Quant. Grav. 27 (2010) 214004 [arXiv:1009.3497].
22. C.-M. Chen, J. Knapp, M. Kreuzer and C. Mayrhofer, Global SO (10) F-theory GUTs, JHEP 10 (2010) 057 [arXiv:1005.5735].
23. M. Kreuzer and H. Skarke, Complete classification of reflexive polyhedra in four dimensions, Adv. Theor. Math. Phys. 4 (2002) 1209 [hep-th/0002240].
24. M. Kreuzer and H. Skarke, PALP: A Package for analyzing lattice polytopes with applications to toric geometry, Comput. Phys. Commun. 157 (2004) 87 [math/0204356].
25. K. Kodaira, On compace analytic surfaces II, Ann. M. 77 (1963) 563.
26. J. Tate, Algorithm for determining the type of a singular fiber in an elliptic pencil, vol. Modular functions of one variable IV of Lecture Notes in Mathematics, Springer, Berlin/Heidelberg (1975).
27. V. I. Danilov, The geometry of toric varieties, Russian Math. Survey 33 (2) (1978).
28. W. Fulton, Introduction to toric varieties, Princeton Univ. Press, Princeton U. S. A. (1993).
29. D. Cox, Minicourse on Toric Varieties, http://www.amherst.edu/~dacox.
30. D. Cox and S. Katz, Mirror Symmetry and Algebraic Geometry, vol. 68 of Mathematical Surveys and Monographs, American Mathematical Society, Berlin/Heidelberg (1999).
31. M. Kreuzer, Toric Geometry and Calabi-Yau Compactifications, Ukr. J. Phys. 55 (2010) 613 [hep-th/0612307].
32. V. Bouchard, Lectures on complex geometry, Calabi-Yau manifolds and toric geometry, hep-th/0702063.
33. J. Treutlein, Birationale Eigenschaften generischer Hyperflächen inalgebraischen Tori, PhD thesis, Eberhard-Karls-Universität Tübingen, June (2010), http://tobias-lib.uni-tuebingen. de/.
34. M. Kreuzer and H. Skarke, PALP: A Package for analyzing lattice polytopes with applications to toric geometry, Comput. Phys. Commun. 157 (2004) 87 [math/0204356].
35. V. V. Batyrev and L. A. Borisov, Mirror duality and string-theoretic Hodge numbers, alg-geom/9509009.
36. L. J. Billera, P. Filliman and B. Sturmfels, Constructions and complexity of secondary polytopes, Adv. Math. 83 (1990) 155.
37. I. M. Gelfand, M. M. Kapranov and A. M. Zalevinsky, Discriminants, Resultants, and Multidimensional Determinants, Birkhauser, Boston (1994).
38. A. Klemm, M. Kreuzer, E. Riegler and E. Scheidegger, Topological string amplitudes, complete intersection Calabi-Yau spaces and threshold corrections, JHEP 05 (2005) 023 [hep-th/0410018].
39. T. Oda and H. Park, Linear Gale transforms and Gelfand-Kapranov- Zelevinskij decompositions, Tôhoku Math. J. 43 (1991) 375.
40. A. Braun, M. Kreuzer and N.-O. Walliser, An Extension of PALP, work in progress.
41. W. Decker, G.-M. Greuel, G. Pfister and H. Schönemann, SINGULAR 3-1-2 - A computer algebra system for polynomial computations, http://www.singular.uni-kl.de
42. C. Cordova, Decoupling Gravity in F-theory, arXiv:0910.2955.
43. Calabi Yau data: Tools and data for (toric) Calabi-Yau varieties, Landau-Ginzburg models, and related objects, http://hep. itp. tuwien. ac.at/~kreuzer/CY/.
44. V. Braun, Discrete Wilson Lines in F-theory, arXiv:1010.2520.
45. H. Hayashi, T. Kawano, Y. Tsuchiya and T. Watari, Flavor Structure in F-theory Compactifications, JHEP 08 (2010) 036 [arXiv:0910.2762].
46. M. Cvetič and J. Halverson, TASI Lectures: Particle Physics from Perturbative and non-perturbative Effects in D-braneworlds, arXiv:1101.2907.
47. 8 Singularities in F-theory, JHEP 03 (2011) 049 [arXiv:1005.5728].
48. J. Marsano, N. Saulina and S. Schäfer-Nameki, F-theory Compactifications for Supersymmetric GUTs, JHEP 08 (2009) 030 [arXiv:0904.3932].
49. C. Mayrhofer, Compactifications of Type IIB String Theory and F-Theory Models by Means of Toric Geometry, PhD thesis, Vienna University of Technology, November (2010), http://aleph.ub.tuwien. ac.at.
50. R. Donagi and M. Wijnholt, Higgs Bundles and UV Completion in F-theory, arXiv:0904.1218.
51. M. Alim et al., Hints for Off-Shell Mirror Symmetry in type-II/F-theory Compactifications, Nucl. Phys. B 841 (2010) 303 [arXiv:0909.1842].
52. T. W. Grimm, T.-W. Ha, A. Klemm and D. Klevers, Computing Brane and Flux Superpotentials in F-theory Compactifications, JHEP 04 (2010) 015 [arXiv:0909.2025].
53. T. W. Grimm, T.-W. Ha, A. Klemm and D. Klevers, Five-Brane Superpotentials and Heterotic/F-theory Duality, Nucl. Phys. B 838 (2010) 458 [arXiv:0912.3250].
54. H. Jockers, P. Mayr and J. Walcher, On N = 1 4d Effective Couplings for F-theory and Heterotic Vacua, arXiv:0912.3265.
55. M. Alim et al., Type II/F-theory Superpotentials with Several Deformations and N = 1 Mirror Symmetry, arXiv:1010.0977.
56. T. W. Grimm, A. Klemm and D. Klevers, Five-Brane Superpotentials, Blow-Up Geometries and SU (3) Structure Manifolds, arXiv:1011.6375.
57. R. Blumenhagen, B. Jurke, T. Rahn and H. Roschy, Cohomology of Line Bundles: A Computational Algorithm, J. Math. Phys. 51 (2010) 103525 [arXiv:1003.5217].