Stability of vector bundles from F-theory

Journal of High Energy Physics

Volumn 3, Issue 12, 1999, Pages

  Berglund, Per ^a   Mayr, Peter ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b CERN   (Switzerland)

Author keywords

F theory; String duality; Superstring vacua; Superstrings and heterotic strings

Indexed keywords

EID: 33646036143     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/1999/12/009     Document Type: Article

References (27)

1. P. Candelas, G.T. Horowitz, A. Strominger and E. Witten, Vacuum configurations for superstrings, Nucl. Phys. B 258 (1985) 46;
2. C.M. Hull and E. Witten, Super-symmetric sigma models and the heterotic string, Phys. Lett. B 160 (1985) 398;
3. E. Witten, New issues in manifolds o/SU(3) holonomy, Nucl. Phys. B 268 (1986) 79;
4. J. Distler, Resurrecting (2,0) compactifications, Phys. Lett. B 188 (1987) 431;
5. J. Distler and B. Greene, Aspects of (2,0) string compactifications, Nucl. Phys. B 304 (1988) 1.
6. M. J. Duff, R. Minasian and E. Witten, Evidence for heterotic/heterotic duality, Nucl. Phys. B 465 (1996) 413 [hep-th/9601036].
7. K. Decker, M. Decker and A. Strominger, Five-branes, membranes and nonperturbative string theory, Nucl. Phys. B 456 (1995) 130 [hep-th/9507158];
8. M. Dershadsky, C. Vafa and V. Sadov, D-branes and topological field theories, Nucl. Phys. B 463 (1996) 420 [hep-th/9511222].
9. K. Uhlenbeck and S.T. Yau, On the existence of hermitian Yang-Mills connections in stable vector bundles, preprint 1986.
10. J. Distler, D.R. Greene and D.R. Morrison, Resolving singularities in (0,2) models, Nucl. Phys. B 481 (1996) 289 [hep-th/9605222].
11. P. Derglund and P. Mayr, Heterotic string/F-theory duality from mirror symmetry, Adv. Theor. Math. Phys. 2 (1999) 1307 [hep-th/9811217].
12. P. Mayr, N = l heterotic string vacua from mirror symmetry, hep-th/9904115, to appear in the proceedings of the the Winter School on Vector bundles, mirror symmetry, and lagrangean submanifolds, Harvard University, January 1999.
13. S. Katz, P. Mayr and C. Vafa, Mirror symmetry and exact solution of 4D N = 2 gauge theories, I, Adv. Theor. Math. Phys. 1 (1998) 53 [hep-th/9706110].
14. C. Vafa and E. Witten, Dual string pairs with N = I and N = 2 super-symmetry in four-dimensions Nucl. Phys. 46 (Proc. Suppl.) (1996) 225 [hep-th/9507050]
15. R. Friedman, J. Morgan and E. Witten, Vector bundles and F-theory, Comm. Math. Phys. 187 (1997) 679 [hep-th/9701162].
16. M. Dershadsky, A. Johansen, T. Pantev and V. Sadov, On four-dimensional compactifications of F-theory, Nucl. Phys. B 505 (1997) 165 [hep-th/9701165];
17. R.Y. Donagi, Asian J. Math. 1 (1997) 214;
18. M SRI pub. 28 (1992) 65;
19. G. Curio and R.Y. Donagi, Moduli in n=l heterotic/f theory duality, Nucl. Phys. B 518 (1998) 603 [hep-th/9801057].
20. C. Vafa, Evidence for F-theory, Nucl. Phys. B 469 (1996) 403 [hep-th/9602022].
21. D.R. Morrison and C. Vafa, Compactifications of F-theory on Calabi-Yau threefolds, I, Nucl. Phys. B 473 (1996) 74 [hep-th/9602114];
22. Compactifications of F-theory on Calabi-Yau threefolds, II Nucl. Phys. B 476 (1996) 437 [hep-th/9603161].
23. G. Rajesh, Toric geometry and F-theory/heterotic duality in four dimensions, J. High Energy Phys. 12 (1998) 018 [hep-th/9811240].
24. B. Andreas, On vector bundles and chiral matter in N = 1 heterotic compactifications, J. High Energy Phys. 01 (1999) Oil [hep-th/9802202];
25. G. Curio, Chiral matter and transitions in heterotic string models, Phys. Lett. B 435 (1998) 39 [hep-th/9803224].
26. V. Batyrev, Duke Math. Journ. 69 (1993) 349.
27. M. Bershadsky et al., Geometric singularities and enhanced gauge symmetries, Nucl. Phys. B 481 (1996) 215 [hep-th/9605200].