Horizontal and vertical five-branes in heterotic/F-theory duality

Journal of High Energy Physics

Volumn 4, Issue 1, 2000, Pages 11-19

  Andreas, Björn ^a   Curio, Gottfried ^b  

^a University of North Carolina at Chapel Hill   (United States)

^b HUMBOLDT UNIVERSITY   (Germany)

Author keywords

F Theory; String Duality; Superstrings and Heterotic Strings

Indexed keywords

EID: 0242385366     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2000/01/013     Document Type: Article

References (22)

1. R. Friedman, J. Morgan and E. Witten, Vector bundles and F-theory, Comm. Math. Phys. 187 (1997) 679 [hep-th/9701162].
2. B. Andreas and G. Curio, Three-branes and five-branes in N = 1 dual string pairs, Phys. Lett. B 417 (1998) 41 [hep-th/9706093].
3. P. Berglund and P. Mayr, Heterotic string/F-theory duality from mirror symmetry, Adv. Theor. Math. Phys. 2 (1999) 1307 [hep-th/9811217].
4. G. Rajesh, Toric geometry and F-theory/heterotic duality in four dimensions, J. High Energy Phys. 12 (1998) 018 [hep-th/9811240].
5. D.-E. Diaconescu and G. Rajesh, Geometrical aspects of fivebranes in heterotic/F-theory duality in four dimensions, J. High Energy Phys. 06 (1999) 002 [hep-th/9903104].
6. R. Donagi, A. Lukas, B.A. Ovrut and D. Waldram, Non-perturbative vacua and particle physics in M-theory, J. High Energy Phys. 05 (1999) 018 [hep-th/9811168].
7. R. Donagi, A. Lukas, B.A. Ovrut and D. Waldram, Holomorphic vector bundles and non-perturbative vacua in M-theory, J. High Energy Phys. 06 (1999) 034 [hep-th/9901009].
8. R. Donagi, B.A. Ovrut and D. Waldram, Moduli spaces of fivebranes on elliptic Calabi-Yau threefolds, J. High Energy Phys. 11 (1999) 030 [hep-th/9904054].
9. B. Andreas and G. Curio, On discrete twist and four-flux in N = 1 heterotic/F-theory compactifications, hep-th/9908193.
10. E. Witten, On flux quantization in M-theory and the effective action, J. Geom. Phys. 22 (1997) 1 [hep-th/9609122].
11. K. Dasgupta and S. Mukhi, A note on low-dimensional string compactifications, Phys. Lett. B 398 (1997) 285 [hep-th/9612188].
12. G. Curio and R.Y. Donagi, Moduli in N = 1 heterotic/F-theory duality, Nucl. Phys. B 518 (1998) 603 [hep-th/9801057].
13. P. Berglund and P. Mayr, Stability of vector bundles from F-theory, J. High Energy Phys. 12 (1999) 009 [hep-th/9904114].
14. S. Sethi, C. Vafa and E. Witten, Constraints on low dimensional string compactifications, Nucl. Phys. B 480 (1996) 213 [hep-th/9606122].
15. S. Hosono, A. Klemm, S. Theisen and S.T. Yau, Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces, Nucl. Phys. B 433 (1995) 501 [hep-th/9406055].
16. B. Andreas, G. Curio and D. Lust, N = 1 dual string pairs and their massless spectra, Nucl. Phys. B 507 (1997) 175 [hep-th/9705174].
17. A. Klemm, B. Lian, S.S. Roan and S.T. Yau, Calabi-yau fourfolds for m- and F-theory compactifications, Nucl. Phys. B 518 (1998) 515 [hep-th/9701023].
18. R. Hartshorne, Algebraic geometry, Springer 1977.
19. S. Kachru and C. Vafa, Exact results for N = 2 compactifications of heterotic strings, Nucl. Phys. B 450 (1995) 69 [hep-th/9505105].
20. S. Katz, P. Mayr and C. Vafa, Mirror symmetry and exact solution of 4d N = 2 gauge theories, 1, Adv. Theor. Math. Phys. 1 (1998) 53 [hep-th/9706110].
21. J.A. Minahan, D. Nemeschansky, C. Vafa and N.P. Warner, E-strings and N = 4 topological Yang-Mills theories Nucl. Phys. B 527 (1998) 581 [hep-th/9802168].
22. A. Klemm, private communication.