Heterotic models from vector bundles on toric Calabi-Yau manifolds

Journal of High Energy Physics

Volumn 2010, Issue 5, 2010, Pages

  He, Yang Hui ^a,b,c   Lee, Seung Joo ^a   Lukas, André ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b MERTON COLLEGE   (United Kingdom)

^c CITY UNIVERSITY   (United Kingdom)

Author keywords

Superstring vacua; Superstrings and heterotic strings

Indexed keywords

EID: 77954983355     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP05(2010)071     Document Type: Article

References (42)

1. L. B. Anderson, Y.-H. He and A. Lukas, Heterotic compactification, an algorithmic approach, JHEP 07 (2007) 049 [hep-th/0702210].
2. L. B. Anderson, Y.-H. He and A. Lukas, Monad bundles in heterotic string compactifications, JHEP 07 (2008) 104 [arXiv:0805.2875].
3. M. Gabella, Y.-H. He and A. Lukas, An abundance of heterotic vacua, JHEP 12 (2008) 027 [arXiv:0808.2142].
4. L. B. Anderson, J. Gray, D. Grayson, Y.-H. He and A. Lukas, Yukawa couplings in heterotic compactification, Commun. Math. Phys. 297 (2010) 95 [arXiv:0904.2186].
5. C. Okonek, M. Schneider and H. Spindler, Vector bundles on complex projective spaces, Birkhauser Verlag, Boston U. S. A. (1988).
6. J. Distler and B. R. Greene, Aspects of (2, 0) string compactifications, Nucl. Phys. B 304 (1988) 1.
7. S. Kachru, Some three generation (0, 2) Calabi-Yau models, Phys. Lett. B 349 (1995) 76 [hep-th/9501131].
8. R. Blumenhagen, Target space duality for (0, 2) compactifications, Nucl. Phys. B 513 (1998) 573 [hep-th/9707198].
9. R. Blumenhagen, R. Schimmrigk and A. Wisskirchen, (0, 2) mirror symmetry, Nucl. Phys. B 486 (1997) 598 [hep-th/9609167].
10. M. R. Douglas and C.-G. Zhou, Chirality change in string theory, JHEP 06 (2004) 014 [hep-th/0403018].
11. P. Candelas, A. M. Dale, C. A. Lütken and R. Schimmrigk, Complete intersection Calabi-Yau manifolds, Nucl. Phys. B 298 (1988) 493.
12. P. Candelas, C. A. Lütken and R. Schimmrigk, Complete intersection Calabi-Yau manifolds. 2. Three generation manifolds, Nucl. Phys. B 306 (1988) 113.
13. P. S. Green, T. Hubsch and C. A. Lütken, All Hodge numbers of all complete intersection Calabi-Yau manifolds, Class. Quant. Grav. 6 (1989) 105.
14. A.-M. He and P. Candelas, On the number of complete intersection Calabi-Yau manifolds, Commun. Math. Phys. 135 (1990) 193.
15. M. Gagnon and Q. Ho-Kim, An exhaustive list of complete intersection Calabi-Yau manifolds, Mod. Phys. Lett. A 9 (1994) 2235.
16. P. Candelas, G. T. Horowitz, A. Strominger and E. Witten, Vacuum configurations for superstrings, Nucl. Phys. B 258 (1985) 46.
17. E. Witten, New issues in manifolds of SU (3) holonomy, Nucl. Phys. B 268 (1986) 79.
18. M. B. Green, J. H. Schwarz and E. Witten, Superstring theory, volume II, Cambridge University Press, Cambridge U. K. (1987).
19. R. Donagi, Y.-H. He, B. A. Ovrut and R. Reinbacher, The particle spectrum of heterotic compactifications, JHEP 12 (2004) 054 [hep-th/0405014].
20. Y.-H. He, GUT particle spectrum from heterotic compactification, Mod. Phys. Lett. A 20 (2005) 1483.
21. M. Kreuzer and H. Skarke, On the classification of reflexive polyhedra, Commun. Math. Phys. 185 (1997) 495 [hep-th/9512204].
22. M. Kreuzer and H. Skarke, Complete classification of reflexive polyhedra in four dimensions, Adv. Theor. Math. Phys. 4 (2002) 1209 [hep-th/0002240].
23. M. Kreuzer and H. Skarke, Reflexive polyhedra, weights and toric Calabi-Yau fibrations, Rev. Math. Phys. 14 (2002) 343 [math. AG/0001106].
24. M. Kreuzer, Strings on Calabi-Yau spaces and toric geometry, Nucl. Phys. (Proc. Suppl.) 102 (2001) 87 [hep-th/0103243].
25. M. Kreuzer, Toric geometry and Calabi-Yau compactifications, hep-th/0612307.
26. M. Kreuzer, E. Riegler and D. A. Sahakyan, Toric complete intersections and weighted projective space, J. Geom. Phys. 46 (2003) 159 [math. AG/0103214].
27. M. Kreuzer and B. Nill, Classification of toric Fano 5-folds, math. AG/0702890.
28. W. Fulton, Introduction to toric varieties, Princeton University Press, Princeton U. S. A. (1993).
29. T. Oda, Convex bodies and algebraic geometry, Springer-Verlag, Germany (1988).
30. D. Cox, Recent developments in toric geometry, alg-geom/9606016.
31. V. Bouchard, Lectures on complex geometry, Calabi-Yau manifolds and toric geometry, hep-th/0702063.
32. P. Candelas, X. de la Ossa, Y.-H. He and B. Szendroi, Triadophilia: a special corner in the landscape, Adv. Theor. Math. Phys. 12 (2008) 2 [arXiv:0706.3134].
33. V. Braun, P. Candelas and R. Davies, A three-generation Calabi-Yau manifold with small Hodge numbers, arXiv:0910.5464.
34. V. V. Batyrev, Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties, J. Alg. Geom. 3 (1994) 493 [alg-geom/9310003].
35. W. Fulton and R. Lazarsfeld, On the connectedness of degeneracy loci and special divisors, Acta Math. 146 (1981) 271.
36. K. Hori et al., Mirror symmetry, American Mathematical Society, Providence U. S. A. (2003).
37. P. S. Aspinwall, B. R. Greene and D. R. Morrison, Calabi-Yau moduli space, mirror manifolds and spacetime topology change in string theory, Nucl. Phys. B 416 (1994) 414 [hep-th/9309097].
38. D. Cox and S. Katz, Mirror symmetry and algebraic geometry, American Mathematical Society, Providence U. S. A. (1999).
39. M. Reid, Decomposition of toric morphisms, in Arithmetic and geometry, Progress in Mathematics 36, Birkhauser, Boston U. S. A., Basel Switzerland and Berlin Germany (1983), pg. 395.
40. M. Kreuzer and H. Skarke, PALP: a Package for Analyzing Lattice Polytopes with applications to toric geometry, Comput. Phys. Commun. 157 (2004) 87 [math. NA/0204356].
41. L. B. Anderson, J. Gray, A. Lukas and B. Ovrut, The edge of supersymmetry: stability walls in heterotic theory, Phys. Lett. B 677 (2009) 190 [arXiv:0903.5088].
42. L. B. Anderson, J. Gray, A. Lukas and B. Ovrut, Stability walls in heterotic theories, JHEP 09 (2009) 026 [arXiv:0905.1748].