Heterotic MSSM on a resolved orbifold

Journal of High Energy Physics

Volumn 2010, Issue 9, 2010, Pages

  Blaszczyk, Michael ^a   Nibbelink, Stefan Groot ^b   Ruehle, Fabian ^a   Trapletti, Michele ^a   Vaudrevange, Patrick K S ^b  

^a UNIVERSITY OF BONN   (Germany)

^b UNIVERSITY OF MUNICH   (Germany)

Author keywords

Differential and algebraic geometry; Supergravity models; Superstring vacua; Superstrings and heterotic strings

Indexed keywords

EID: 78649746052     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP09(2010)065     Document Type: Article

References (63)

1. P. Candelas, G. T. Horowitz, A. Strominger and E. Witten, Vacuum configurations for superstrings, Nucl. Phys. B 258 (1985) 46
2. L. J. Dixon, J. A. Harvey, C. Vafa and E. Witten, Strings on orbifolds, Nucl. Phys. B 261 (1985) 678
3. L. J. Dixon, J. A. Harvey, C. Vafa and E. Witten, Strings on orbifolds. 2, Nucl. Phys. B 274 (1986) 285
4. S. Donaldson, Anti-self-dual Yang-Mills connections over complex algebraic surfaces and stable vector bundles, Proc. London Math. Soc. 50 (1985) 1
5. K. Uhlenbeck and S. Yau, On the existence of Hermitian-Yang-Mills connections in stable vector bundles, Commun. Pure Appl. Math. 39 (1986) 257.
6. B. Andreas, G. Curio and A. Klemm, Towards the standard model spectrum from elliptic Galabi-Yau, Int. J. Mod. Phys. A 19 (2004) 1987 [hep-th/9903052]
7. R. Donagi, B. A. Ovrut, T. Pantev and D. Waldram, Standard-model bundles, Adv. Theor. Math. Phys. 5 (2002) 563 [math/0008010].
8. P. Candelas, G. T. Horowitz, A. Strominger and E. Witten, Vacuum configurations for superstnngs, Nucl. Phys. B 258 (1985) 46
9. E. Witten, Symmetry breaking patterns in superstring models, Nucl. Phys. B 258 (1985) 75
10. R. Donagi, B. A. Ovrut, T. Pantev and D. Waldram, Spectral involutions on rational elliptic surfaces, Adv. Theor. Math. Phys. 5 (2002) 499 [math/0008011].
11. R. Donagi, B. A. Ovrut, T. Pantev and D. Waldram, Standard-model bundles on non-simply connected Calabi-Yau threefolds, JEEP 08 (2001) 053 [hep-th/0008008]
12. V. Braun, Y.-H. He, B. A. Ovrut and T. Pantev, The exact MSSM spectrum from string theory, JEEP 05 (2006) 043 [hep-th/0512177]
13. V. Bouchard and R. Donagi, An SU (5) heterotic standard model, Phys. Lett. B 633 (2006) 783 [hep-th/0512149]
14. L. B. Anderson, J. Gray, Y.-H. He and A. Lukas, Exploring positive monad bundles and a new heterotic standard model, JEEP 02 (2010) 054 [arXiv: 0911.1569]
15. A. Strominger, Superstnngs with torsion, Nucl. Phys. B 274 (1986) 253
16. T. P. T. Dijkstra, L. R. Huiszoon and A. N. Schellekens, Super symmetric standard model spectra from RCFT orientifolds, Nucl. Phys. B 710 (2005) 3 [hep-th/0411129]
17. T. P. T. Dijkstra, L. R. Huiszoon and A. N. Schellekens, Chiral super symmetric standard model spectra from orientifolds of Gepner models, Phys. Lett. B 609 (2005) 408 [hep-th/0403196]
18. B. Gato-Rivera and A. N. Schellekens, Heterotic weight lifting, Nucl. Phys. B 828 (2010) 375 [arXiv: 0910.1526]
19. B. Gato-Rivera and A. N. Schellekens, Asymmetric Gepner models (revisited), arXiv: 1003.6075
20. A. E. Faraggi, D. V. Nanopoulos and K.-j. Yuan, A standard like model in the AD free fermionic string formulation, Nucl. Phys. B 335 (1990) 347
21. G. B. Cleaver, A. E. Faraggi and D. V. Nanopoulos, String derived MSSM and M-theory unification, Phys. Lett. B 455 (1999) 135 [hep-ph/9811427]
22. G. B. Cleaver, A. E. Faraggi and D. V. Nanopoulos, A minimal superstring standard model. I: Flat directions, Int. J. Mod. Phys. A 16 (2001) 425 [hep-ph/9904301]
23. E. Kiritsis, B. Schellekens and M. Tsulaia, Discriminating MSSM families in (free-field) Gepner onentifolds, JEEP 10 (2008) 106 [arXiv: 0809.0083]
24. L. E. Ibáñez, H. P. Nilles and F. Quevedo, Orbifolds and Wilson lines, Phys. Lett. B 187 (1987) 25
25. n, Phys. Lett. B 191 (1987) 282
26. L. E. Ibáñez, J. Mas, H.-P. Nilles and F. Quevedo, Heterotic strings in symmetric and asymmetric orbifold backgrounds, Nucl. Phys. B 301 (1988) 157
27. W. Buchmüller, K. Hamaguchi, O. Lebedev and M. Ratz, Super symmetric standard model from the heterotic string, Phys. Rev. Lett. 96 (2006) 121602 [hep-ph/0511035]
28. W. Buchmüller, K. Hamaguchi, O. Lebedev and M. Ratz, Super symmetric standard model from the heterottc string. II, Nucl. Phys. B 785 (2007) 149 [hep-th/0606187]
29. O. Lebedev et al., A mini-landscape of exact MSSM spectra in heterotic orbifolds, Phys. Lett. B 645 (2007) 88 [hep-th/0611095]
30. 6 orbifold, Phys. Lett. B 668 (2008) 331 [arXiv:0807.4384]
31. S. G. Nibbelink, J. Held, F. Ruehle, M. Trapletti and P. K. S. Vaudrevange, Heterotic Z6-II MSSM Orbtfolds in Blowup, JHEP 03 (2009) 005 [arXiv:0901.3059]
32. E. Witten, Strong coupling expansion of Calabi-Yau compactification, Nucl. Phys. B 471 (1996) 135 [hep-th/9602070]
33. A. Hebecker, Grand unification in the projective plane, JHEP 01 (2004) 047 [hep-ph/0309313]
34. A. Hebecker and M. Trapletti, Gauge unification in highly anisotropic string compactifications, Nucl. Phys. B 713 (2005) 173 [hep-th/0411131]
35. R. Donagi and K. Wendland, On orbifolds and free fermion constructions, J. Geom. Phys. 59 (2009) 942 [arXiv:0809.0330]
36. 2 standard model, Phys. Lett. B 683 (2010) 340 [arXiv:0911.4905]
37. R. Kappl, B. Petersen, M. Ratz, R. Schieren and P. Vaudrevange, in preparation (2010).
38. R. Blumenhagen, G. Honecker and T. Weigand, Super symmetric (non-) abelian bundles in the type-I and SO (32) heterotic string, JHEP 08 (2005) 009 [hep-th/0507041]
39. R. Blumenhagen, G. Honecker and T. Weigand, Loop-corrected compactifications of the heterotic string with line bundles, JHEP 06 (2005) 020 [hep-th/0504232]
40. L. B. Anderson, J. Gray and B. Ovrut, Yukawa textures from heterotic stability walls, JHEP 05 (2010) 086 [arXiv: 1001.2317]
41. F. Ploger, S. Ramos-Sanchez, M. Ratz and P. K. S. Vaudrevange, Mirage torsion, JHEP 04 (2007) 063 [hep-th/0702176]
42. S. Groot Nibbelink, H. P. Nilles and M. Trapletti, Multiple anomalous U (l) s in heterotic blow-ups, Phys. Lett. B 652 (2007) 124 [hep-th/0703211]
43. J. Held, Resolving the singularities of compact heterotic orbifolds, Master's thesis, Ruprecht-Karls Universität, Heidelberg Germany (2009), available at the Institutsbiliothek Theoretische Physik Heidelberg Germany.
44. D. Lüst, S. Reffert, E. Scheidegger and S. Stieberger, Resolved toroidal orbifolds and their orientifolds, Adv. Theor. Math. Phys. 12 (2008) 67 [hep-th/0609014]
45. S. Reffert, Toroidal orbifolds: Resolutions, orientifolds and applications in string phenomenology, hep-th/0609040
46. n orbifolds, their U (l) bundles and applications to string model building, JHEP 03 (2007) 035 [hep-th/0701227]
47. S. G. Nibbelink, Blowups of heterotic orbifolds using toric geometry, arXiv: 0708.1875
48. S. G. Nibbelink, T.-W. Ha and M. Trapletti, Toric resolutions of heterotic orbifolds, Phys. Rev. D 77 (2008) 026002 [arXiv:0707.1597]
49. C. Vafa and E. Witten, On orbifolds with discrete torsion, J. Georn. Phys. 15 (1995) 189 [hep-th/9409188]
50. W. Fulton, Introduction to toric varieties, Annals of mathematics studies 131, The William H. Roever lectures in geometry, Princeton University Press, Princeton U. S. A. (1997).
51. M. Nakahara, Geometry, topology and physics, Taylor & Francis New York U. S. A. (2003).
52. P. A. Griffiths and J. Harris, Principles of algebraic geometry, Wiley New York U. S. A. (1994).
53. P. S. Aspinwall, B. R. Greene and D. R. Morrison, Measuring small distances in N = 2 σ-models, Nucl. Phys. B 420 (1994) 184 [hep-th/9311042]
54. E. Witten, Phases of N = 2 theories in two dimensions, Nucl. Phys. B 403 (1993) 159 [hep-th/9301042]
55. M. Fischer, M. Ratz and P. Vaudrevange, in preparation (2010).
56. 2 heterotic orbifold models of non factorisable six dimensional toroidal manifolds, JHEP 08 (2006) 057 [hep-th/0605117]
57. CM. Hull, Actions for (2, 1) σ-models and strings, Nucl. Phys. B 509 (1998) 252 [hep-th/9702067]
58. G. Honecker and M. Trapletti, Merging heterotic orbifolds and K3 compactifications with line bundles, JHEP 01 (2007) 051 [hep-th/0612030]
59. S. G. Nibbelink, D. Klevers, F. Ploger, M. Trapletti and P. K. S. Vaudrevange, Compact heterotic orbifolds in blow-up, JHEP 04 (2008) 060 [arXiv:0802.2809]
60. F. Denef, M. R. Douglas, B. Florea, A. Grassi and S. Kachru, Fixing all moduli in a simple F-theory compactification, Adv. Theor. Math. Phys. 9 (2005) 861 [hep-th/0503124]
61. L. Ahlfors Complex analysis, McGraw-Hill Book Company (1953).
62. N. Koblitz, Introduction to elliptic curves and modular forms, Graduate texts in mathematics 97, Cambridge University Press, Cambridge U. S. A. (1993).
63. 2 orbifolds, Nucl. Phys. B 694 (2004) 187 [hep-th/0403272]