Comments on N = 1 heterotic string vacua

Advances in Theoretical and Mathematical Physics

Volumn 7, Issue 5, 2003, Pages 751-786

  Andreas, B ^a   Ruipérez, D Hernández ^b  

^a HUMBOLDT UNIVERSITY   (Germany)

^b UNIVERSITY OF SALAMANCA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79551486887     PISSN: 10950761     EISSN: 10950753     Source Type: Journal    
DOI: 10.4310/ATMP.2003.v7.n5.a1     Document Type: Article

References (39)

1. R. Friedman, J. Morgan and E. Witten, Vector Bundles and F-Theory, Comm. Math. Phys. 187 (1997) 679.
2. M. Bershadsky, A. Johansen, T. Pantev and V. Sadov, On Four-Dimensional Compactifications of F-Theory, Nucl. Phys. B505 (1997) 165-201.
3. D.-E. Diaconescu and G. Ionesei, Spectral Covers, Charged Matter and Bundle Cohomology, JHEP 9812 (1998) 001.
4. D.-E. Diaconescu and G. Rajesh, Geometrical Aspects of Fivebranes in Heterotic/F-Theory Duality in Four Dimensions, JHEP 9906 (1999) 002.
5. B. Andreas and G. Curio, Three-Branes and Five-Branes in N = 1 Dual String Pairs, Phys. Lett. B 417 (1998) 41.
6. D.R. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Three folds II , Nucl. Phys. B476 (1996) 437-469.
7. P. Berglund and P. Mayr, Heterotic/F-Theory and Five-Branes from Mirror Symmetry, Adv. Theor. Math. Phys. 2 (1999) 1307.
8. E. Silverstein and E. Witten, Criteria for Conformal Invariance of (0, 2) Models, Nucl. Phys. B444 (1995) 161-190.
9. A. Basu and S. Sethi, World-Sheet Stability of (0,2) Linear Sigma Models.
10. C. Beasley and E. Witten, Residues and World-Sheet Instantons.
11. E. Witten, Small Instantons in String Theory, Nucl. Phys. B480 (1996) 213.
12. P. S. Aspinwall and D. R. Morrison, Point-Like Instantons on K3 Orbifolds, Nucl. Phys. B503 (1997) 533-564.
13. E. Sharpe, Extremal Transitions in Heterotic String Theory, Nucl. Phys. B513 (1998) 175-197.
14. N. Seiberg and E. Witten, Comments on String Dynamics in Six Dimensions, Nucl. Phys. B471 (1996) 121-134.
15. 8 Instantons and Tensionless Non-critical Strings, Nucl. Phys. B474 (1996) 122.
16. M. Duff, R. Minasian and E. Witten, Evidence for Heterotic/Heterotic Duality, Nucl. Phys. B465 (1996) 413.
17. Candelas, D.-E. Diaconescu, B. Florea, D. R. Morrison and G. Rajesh, Codimension-Three Bundle Singularities in F-Theory, JHEP 0206 (2002) 014.
18. B. A. Ovrut, T. Pantev and J. Park, Small Instanton Transitions in Heterotic M-theory, JHEP 0005 (2000) 45.
19. S. Kachru and E. Silverstein, Chirality Changing Phase Transitions in 4d String Vacua, Nucl. Phys. B504 (1997) 272-284.
20. B. Andreas and G. Curio, On Discrete Twist and Four Form Flux in N = 1 Heterotic/F-Theory Compactification, Adv. Theor. Math. Phys. 3 (1999) 1325-1413.
21. E. Buchbinder, R. Donagi and B. A. Ovrut, Vector Bundle Moduli and Small Instanton Transitions, JHEP 0206 (2002) 054.
22. R. Donagi, A. Lukas, B.A. Ovrut and D. Waldram, Holomorphic Vector Bundles and Non-Perturbative Vacua in M-theory, JHEP 9906 (1999) 034.
23. G. Moore, G. Peradze and N. Saulina, Instabilities in Heterotic M-theory Induced by Open Membrane Instantons, Nucl. Phys. B607 (2001) 117-154.
24. G. Curio, Chiral Matter and Transitions in Heterotic String Theory, Phys. Lett. B435 (1998) 39-48.
25. C. Bartocci, U. Bruzzo, D. Hernández Ruipérez and J. M. Muñoz Porras, Relatively stable bundles over elliptic fibrations, Mathematische Nachrichten 238 (2002) 23.
26. D. Hernández Ruipérez and J. M. Muñoz Porras, Stable Sheaves on Elliptic Fibrations, J. Geom. Phys. 43 (2002) 163.
27. B. Andreas, G. Curio, D. Hernández Ruipérez and S.T. Yau, Fourier-Mukai Transform and Mirror Symmetry for D-Branes on Elliptic Calabi-Yau.
28. B. Andreas, G. Curio, D. Hernández Ruipérez and S.T. Yau, Fibrewise T-duality for D-Branes on Elliptic Calabi-Yau, J. High Energy Phys. 03 (2001) 020.
29. C. Simpson, Moduli of Representations of the Fundamental Group of a Smooth Projective Variety. I, Publ. Math. Inst. Hautes Etudes Sci. 79 (1994), 47-129.
30. C. Vafa, Evidence for F-Theory, Nucl. Phys. B469 (1996) 403.
31. S. Sethi, C. Vafa and E. Witten, Constraints on Low-Dimensional String Compactifcations, Nucl. Phys. B480 (1996) 213.
32. E. Witten, New Issues in Manifolds of SU(3) Holonomy, Nucl. Phys. B268 (1986) 79-112.
33. R. Donagi, B. A. Ovrut, T. Pantev and D. Waldram, Standard-Model Bundles, Adv. Theor. Math. Phys.5 (2002) 563-615.
34. B. Andreas, On Vector Bundles and Chiral Matter in N=1 Heterotic String Compactifications, JHEP 9901 (1999) 011.
35. S. Mukai, Duality between D(X) and D(X̂) with application to Picard sheaves, Nagoya Math. J. 81 (1981), 153.
36. R. Hartshorne, Residues and Duality, Springer 1966.
37. R. Godement, Topologie Algébrique et Théorie des Faisceaux, Hermann, Paris, 1964.
38. R. Friedman, Algebraic Surfaces and Holomorphic Vector Bundles, Springer-Verlag 1998.
39. P. Griffiths and J. Harris, Principles of Algebraic Geometry, John Wiley and Sons, INC.