Extension bundles and the standard model

Journal of High Energy Physics

Volumn 2007, Issue 7, 2007, Pages

  Andreas, Björn ^a   Curio, Gottfried ^b  

^a FREIE UNIVERSITÄT BERLIN   (Germany)

^b UNIVERSITY OF MUNICH   (Germany)

Author keywords

Differential and algebraic geometry; Superstrings and heterotic strings

Indexed keywords

EID: 34547686055     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/07/053     Document Type: Article

References (30)

1. B. Andreas and G. Curio, Stable bundle extensions on elliptic Calabi-Yau threefolds [math.AG/0611762]
2. V. Braun, Y.-H. He, B.A. Ovrut and T. Pantev, Vector bundle extensions, sheaf cohomology and the heterotic standard model 2006 Adv. Theor. Math. Phys. 10 4 [hep-th/0505041]
3. R. Donagi, B.A. Ovrut, T. Pantev and D. Waldram, Spectral involutions on rational elliptic surfaces 2002 Adv. Theor. Math. Phys. 5 499 [math.AG/0008011]
4. R. Donagi, B.A. Ovrut, T. Pantev and D. Waldram, Standard-model bundles 2002 Adv. Theor. Math. Phys. 5 563 [math.AG/0008010]
5. R. Donagi, B.A. Ovrut, T. Pantev and D. Waldram, Standard-model bundles on non-simply connected Calabi-Yau threefolds 2001 J. High Energy Phys. JHEP08(2001)053 [hep-th/0008008]
6. V. Bouchard and R. Donagi, An SU(5) heterotic standard model, 2006 Phys. Lett. B 633 783 [hep-th/0512149]
7. B. Andreas, G. Curio and A. Klemm, Towards the standard model spectrum from elliptic Calabi-Yau 2004 Int. J. Mod. Phys. A 19 1987 [hep-th/9903052]
8. G. Curio, Standard model bundles of the heterotic string 2006 Int. J. Mod. Phys. A 21 1261 [hep-th/0412182]
9. B. Andreas and G. Curio, Standard models from heterotic string theory [hep-th/0602247]
10. B. Andreas and G. Curio, Heterotic models without fivebranes [hep-th/0611309]
11. E. Witten, New issues in manifolds of SU(3) holonomy, 1986 Nucl. Phys. B 268 79
12. R. Friedman, J. Morgan and E. Witten, Vector bundles and F-theory 1997 Comm. Math. Phys. 187 679 [hep-th/9701162]
13. B. Andreas, On vector bundles and chiral matter in N ≤ 1 heterotic compactifications 1999 J. High Energy Phys. JHEP01(1999)011 [hep-th/9802202]
14. G. Curio, Chiral matter and transitions in heterotic string models 1998 Phys. Lett. B 435 39 [hep-th/9803224]
15. R. Donagi, B.A. Ovrut, T. Pantev and D. Waldram, Standard models from heterotic M-theory 2002 Adv. Theor. Math. Phys. 5 93 [hep-th/9912208]
16. B. Andreas and D. Hernandez Ruiperez, U(n) vector bundles on Calabi-Yau threefolds for string theory compactifications 2005 Adv. Theor. Math. Phys. 9 253 [hep-th/0410170]
17. K. Uhlenbeck and S.-T. Yau, On the existence of hermitian Yang-Mills connections in stable vector bundles 1986 Comm. Pure Appl. Math. 39 257
18. S.K. Donaldson, Anti self-dual Yang-Mills connections over complex algebraic surfaces and stable vector bundles 1985 Proc. London Math. Soc. 3 1
19. R. Friedman, Algebraic surfaces and holomorphic vector bundles Springer, Universitext (1998)
20. S. Kobayashi, Differential geometry of complex vector bundles (Princeton University Press) (1987)
21. R. Blumenhagen, S. Moster and T. Weigand, Heterotic GUT and standard model vacua from simply connected Calabi-Yau manifolds 2006 Nucl. Phys. B 751 186 [hep-th/0603015]
22. R. Blumenhagen, S. Moster, R. Reinbacher and T. Weigand, Massless spectra of three generation U(N) heterotic string vacua, 2007 J. High Energy Phys. JHEP05(2007)041 [hep-th/0612039]
23. R. Blumenhagen, G. Honecker and T. Weigand, Loop-corrected compactifications of the heterotic string with line bundles 2005 J. High Energy Phys. JHEP06(2005)020 [hep-th/0504232]
24. R. Tatar and T. Watari, Proton decay, yukawa couplings and underlying gauge symmetry in string theory 2006 Nucl. Phys. B 747 212 [hep-th/0602238]
25. J. Distler and B.R. Greene, Aspects of (2,0) string compactifications 1988 Nucl. Phys. B 304 1
26. M. Dine, N. Seiberg, X.G. Wen and E. Witten, Nonperturbative effects on the string world sheet. 2 1987 Nucl. Phys. B 289 319
27. A. Lukas and K.S. Stelle, Heterotic anomaly cancellation in five dimensions 2000 J. High Energy Phys. JHEP01(2000)010 [hep-th/9911156]
28. R. Hartshorne, Algebraic geometry Springer (1977)
29. W.P. Li and Z.B. Qin, Stable vector bundles on algebraic surfaces 1994 Trans. AMS 345 833
30. I.V. Artamkin, Deforming torsion-free sheaves on an algebraic surface 1991 Math. USSR Izv. 36 449