Invariant homology on standard model manifolds

Journal of High Energy Physics

Volumn 8, Issue 1, 2004, Pages 1505-1552

  Ovrut, Burt A ^a   Reinbacher, René ^a   Pantev, Tony ^a  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

Differential and Algebraic Geometry; M Theory; Superstring Vacua; Superstrings and Heterotic Strings

Indexed keywords

EID: 23144468067     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2004/01/059     Document Type: Article

References (26)

1. P. Hořava and E. Witten, Heterotic and type-I string dynamics from eleven dimensions, Nucl. Phys. B 460 (1996) 506 [hep-th/9510209].
2. P. Hořava and E. Witten, Eleven-dimensional supergravity on a manifold with boundary, Nucl. Phys. B 475 (1996) 94 [hep-th/9603142].
3. E. Witten, Strong coupling expansion of Calabi-Yau compactification, Nucl. Phys. B 471 (1996) 135 [hep-th/9602070].
4. A. Lukas, B.A. Ovrut, K.S. Stelle and D. Waldram, The universe as a domain wall, Phys. Rev. D 59 (1999) 086001 [hep-th/9803235].
5. A. Lukas, B.A. Ovrut, K.S. Stelle and D. Waldram, Heterotic M-theory in five dimensions, Nucl. Phys. B 552 (1999) 246 [hep-th/9806051].
6. A. Lukas, B.A. Ovrut, K.S. Stelle and D. Waldram, Heterotic M-theory in five dimensions, Nucl. Phys. B 552 (1999) 246 [hep-th/9806051].
7. M.F. Atiyah, N.J. Hitchin, V.G. Drinfeld and Y.I. Manin, Construction of instantons, Phys. Lett. A 65 (1978) 185.
8. R. Friedman, J. Morgan and E. Witten, Vector bundles and F theory, Commun. Math. Phys. 187 (1997) 679 [hep-th/9701162].
9. R. Friedman, J.W. Morgan and E. Witten, Vector bundles over elliptic fibrations, alg-geom/9709029.
10. 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].
11. 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].
12. R. Donagi, B.A. Ovrut, T. Pantev and D. Waldram, Spectral involutions on rational elliptic surfaces, Adv. Theor. Math. Phys. 5 (2002) 499 [math.ag/0008011].
13. R. Donagi, B.A. Ovrut, T. Pantev and D. Waldram, Standard-model bundles, Adv. Theor. Math. Phys. 5 (2002) 563 [math.ag/0008010].
14. R. Donagi, B.A. Ovrut, T. Pantev and D. Waldram, Standard-model bundles on non-simply connected Calabi-Yau threefolds, J. High Energy Phys. 08 (2001) 053 [hep-th/0008008].
15. R. Donagi, B.A. Ovrut, T. Pantev and D. Waldram, Standard models from heterotic M-theory, Adv. Theor. Math. Phys. 5 (2002) 93 [hep-th/9912208].
16. C. Schoen, On fiber products of rational elliptic surfaces with section, Math. Z. 197(2) (1988) 177.
17. E. Witten, Symmetry breaking patterns in superstring theory, Nucl. Phys. B 258 (1985) 75.
18. E. Witten, private communication.
19. R.P. Thomas, Examples of bundles on Calabi-Yau 3-folds for string theory compactifications, Adv. Theor. Math. Phys. 4 (2000) 231 [math.ag/9912179].
20. B.A. Ovrut, T. Pantev and R. Reinbacher, Torus-fibered Calabi-Yau threefolds with non-trivial fundamental group, J. High Energy Phys. 05 (2003) 040 [hep-th/0212221].
21. R. Donagi, B. Ovrut, T. Pantev and R. Reinbacher, Holomorphic vector bundles, Calabi-Yau spaces with non-trivial homotopy and the standard model, in preparation.
22. R. Donagi, B. Ovrut, T. Pantev and R. Reinbacher. Standard-like models, nucleon decay and SU(4) instantons, in preparation.
23. R. Donagi, A. Lukas, B. Ovrut and R. Reinbacher. Symmetry breaking pattern by Wilson loops in heterotic M-theory, in preparation.
24. R. Donagi, B. Ovrut, T. Pantev and R. Reinbacher, Stable vector bundles on non-simply connected Calabi-Yau spaces, UPR 1018-T.
25. P.A. Griffiths and J. Harris, Principles of algebraic geometry, Wiley, New York 1994.
26. K. Kodaira, On compact analytic surfaces, Ann. Math. 78 (1963) 78.