Standard-model bundles

Advances in Theoretical and Mathematical Physics

Volumn 5, Issue 3, 2001, Pages 563-615

  Donagi, Ron ^a   Ovrut, Burt A ^a   Pantev, Tony ^a   Waldram, Daniel ^b,c  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

^b CERN   (Switzerland)

^c ROCKEFELLER UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79551504170     PISSN: 10950761     EISSN: 10950753     Source Type: Journal    
DOI: 10.4310/atmp.2001.v5.n3.a5     Document Type: Article

References (26)

1. B. Andreas, G. Curio, and A. Klemm. Towards the Standard Model spectrum from elliptic Calabi-Yau.
2. M. Bershadsky, A. Johansen, T. Pantev, and V. Sadov. On four-dimensional compactifications of F-theory. Nuclear Phys. B, 505(1-2):165-201, 1997.
3. T. Bridgeland and A. Maciocia. Fourier-Mukai transforms for K3 and elliptic fibrations.
4. R. Donagi, A. Lukas, B. Ovrut, and D. Waldram. Holomorphic vector bundles and non-perturbative vacua in M-theory. J. High Energy Phys., 1999(6):Paper 34, 46 pp. (electronic), 1999.
5. R. Donagi. Principal bundles on elliptic fibrations. Asian J. Math., 1(2):214-223, 1997.
6. R. Donagi, B. Ovrut, T. Pantev, and D. Waldram. Spectral involutions on rational elliptic surfaces.
7. R. Donagi, B. Ovrut, T. Pantev, and D. Waldram. Standard-Model bundles on non-simply connected Calabi-Yau threefolds.
8. R. Donagi, B. Ovrut, T. Pantev, and D. Waldram. Standard models from heterotic M-theory.
9. R. Donagi, B. Ovrut, and D. Waldram. Moduli spaces of fivebranes on elliptic Calabi-Yau threefolds. J. High Energy Phys., 1999(12):Paper 30, 58, 1999.
10. M. Demazure, H.C. Pinkham, and B. Teissier, editors. Séminaire sur les Singularités des Surfaces, number 777 in Lecture Notes in Mathematics. Springer, 1980. Held at the Centre de Mathématiques de l'Ecole Polytechnique, Palaiseau, 1976-1977.
11. R. Friedman, J. Morgan, and E. Witten. Vector bundles and F theory. Comm. Math. Phys., 187(3):679-743, 1997.
12. R. Friedman, J. Morgan, and E. Witten. Vector bundles over elliptic fibrations. J. Algebraic Geom., 8(2):279-401, 1999.
13. R. Friedman. Algebraic surfaces and holomorphic vector bundles. Springer-Verlag, New York, 1998.
14. R. Hartshorne. Algebraic geometry, volume 52 of Grad. Texts Math. Springer-Verlag, 1977.
15. P. Hořava and E. Witten. Eleven-dimensional supergravity on a manifold with boundary. Nuclear Phys. B, 475(1-2):94-114, 1996.
16. P. Hořava and E. Witten. Heterotic and type I string dynamics from eleven dimensions. Nuclear Phys. B, 460(3):506-524, 1996.
17. S. Kachru. Some three generation (0,2) Calabi-Yau models. Phys. Lett. B, 349(1-2):76-82, 1995.
18. M. Maruyama. Elementary transformations in the theory of algebraic vector bundles. In Algebraic geometry (La Rábida, 1981), pages 241-266. Springer, Berlin, 1982.
19. M. Maruyama. On a generalization of elementary transformations of algebraic vector bundles. Rend. Sem. Mat. Univ. Politec. Torino, 1986(Special Issue):1-13, 1987. Conference on algebraic varieties of small dimension (Turin, 1985).
20. D. Mumford. Prym varieties. I. In Contributions to analysis (a collection of papers dedicated to Lipman Bers), pages 325-350. Academic Press, New York, 1974.
21. W. Pokorski and G. Ross. Flat directions, string compactification and 3 generation models. Nucl.Phys. B, 551:515-548, 1999.
22. C. Schoen. On fiber products of rational elliptic surfaces with section. Math. Z., 197(2):177-199, 1988.
23. R. P. Thomas. Examples of bundles on Calabi-Yau 3-folds for string theory compactifications.
24. 1 = 0 and χ = -6. In Mathematical aspects of string theory (San Diego, Calif., 1986), pages 543-559. World Sci. Publishing, Singapore, 1987.
25. K. Uhlenbeck and S.-T. Yau. On the existence of Hermitian-Yang-Mills connections in stable vector bundles. Comm. Pure Appl. Math., 39(S, suppl.):S257- S293, 1986. Frontiers of the mathematical sciences: 1985 (New York, 1985).
26. E. Witten. Strong coupling expansion of Calabi-Yau compactification. Nuclear Phys. B, 471(1-2):135-158, 1996.