Lie groups, Calabi-Yau threefolds, and F-theory

Advances in Theoretical and Mathematical Physics

Volumn 4, Issue 1, 2000, Pages 95-126

  Aspinwall, Paul S ^a   Katz, Sheldon ^b   Morrison, David R ^a  

^a DUKE UNIVERSITY   (United States)

^b OKLAHOMA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012423365     PISSN: 10950761     EISSN: 10950753     Source Type: Journal    
DOI: 10.4310/atmp.2000.v4.n1.a2     Document Type: Article

References (37)

1. C. Vafa, Evidence for F-Theory, Nucl. Phys. B469 (1996) 403-418.
2. N. Seiberg and E. Witten, Comments on String Dynamics in Six Dimensions, Nucl. Phys. B471 (1996) 121-134.
3. D. R. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - I, Nucl. Phys. B473 (1996) 74-92.
4. D. R. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - II, Nucl. Phys. B476 (1996) 437-469.
5. S. Katz, D. R. Morrison, and M. R. Plesser, Enhanced Gauge Symmetry in Type II String Theory, Nucl. Phys. B477 (1996) 105-140.
6. E. Witten, Phase Transitions in M-Theory and F-Theory, Nucl. Phys. B471 (1996) 195-216.
7. P. S. Aspinwall and M. Gross, The SO(32) Heterotic String on a K3 Surface, Phys. Lett. B387 (1996) 735-742.
8. M. Bershadsky, K. Intriligator, S. Kachru, D. R. Morrison, V. Sadov, and C. Vafa, Geometric Singularities and Enhanced Gauge Symmetries, Nucl. Phys. B481 (1996) 215-252.
9. V. Sadov, Generalized Green-Schwarz Mechanism in F theory, Phys. Lett. B388 (1996) 45-50.
10. S. Katz and C. Vafa, Matter From Geometry, Nucl. Phys. B497 (1997) 146-154.
11. K. Intriligator, D. R. Morrison, and N. Seiberg, Five-Dimensional Supersymmetric Gauge Theories and Degenerations of Calabi-Yau Spaces, Nucl. Phys. B497 (1997) 56-100.
12. P. Candelas, E. Perevalov, and G. Rajesh, Matter from Toric Geometry, Nucl. Phys. B519 (1998) 225-238.
13. D.-E. Diaconescu and R. Entin, Calabi-Yau Spaces and Five-Dimensional Field Theories with Exceptional Gauge Symmetry, Nucl. Phys. B538 (1999) 451-484.
14. K. Intriligator, New String Theories in Six-Dimensions via Branes at Orbifold Singularities, Adv. Theor. Math. Phys. 1 (1998) 271-282.
15. M. Bershadsky, T. Pantev, and V. Sadov, F-Theory with Quantized Fluxes, Adv. Theor. Math. Phys. 3 (1999).
16. P. Berglund, A. Klemm, P. Mayr, and S. Theisen, On Type IIB Vacua With Varying Coupling Constant, Nucl. Phys. B558 (1999) 178-204.
17. D. R. Morrison, Lecture at Harvard University, 8 January 1999 (unpublished).
18. P. S. Aspinwall, K3 Surfaces and String Duality, in C. Efthimiou and B. Greene, editors, "Fields, Strings and Duality, TASI 1996", pages 421-540, World Scientific, 1997.
19. P. S. Aspinwall and R. Y. Donagi, The Heterotic String, the Tangent Bundle, and Derived Categories, Adv. Theor. Math. Phys. 2 (1998) 1041-1074.
20. P. S. Aspinwall and D. R. Morrison, Non-Simply-Connected Gauge Groups and Rational Points on Elliptic Curves, J. High Energy Phys. 07 (1998) 012.
21. S. Chaudhuri, G. Hockney, and J. D. Lykken, Maximally Supersymmetric String Theories in D < 10, Phys. Rev. Lett. 75 (1995) 2264-2267.
22. J. A. Harvey and G. Moore, On the algebras of BPS states, Commun. Math. Phys. 197 (1998) 489-519.
23. E. Witten, New "Gauge" Theories In Six Dimensions, J. High Energy Phys. 01 (1998) 001, Adv. Theor. Math. Phys. 2 (1998) 61-90.
24. E. Witten, Adv. Theor. Math. Phys. 2 (1998) 61-90.
25. D. Berenstein, R. Corrado, and J. Distler, Aspects of ALE matrix models and twisted matrix strings, Phys. Rev. D 58 (1998) 026005.
26. D. Berenstein and R. G. Leigh, Discrete torsion, AdS/CFT and duality, J. High Energy Phys. 01 (2000) 038.
27. R. Miranda, Smooth Models for Elliptic Threefolds, in R. Friedman and D. R. Morrison, editors, "The Birational Geometry of Degenerations", Birkḧauser, 1983.
28. M. Bershadsky, V. Sadov, and C. Vafa, D-Strings on D-Manifolds, Nucl. Phys. B463 (1996) 398-414.
29. P. M. H. Wilson, The K̈ahler Cone on Calabi-Yau Threefolds, Invent. Math. 107 (1992) 561-583.
30. R. Friedman, J. Morgan, and E. Witten, Vector Bundles and F Theory, Commun. Math. Phys. 187 (1997) 679-743.
31. A. Grassi and D. R. Morrison, Group Representations and the Euler Characteristic of Elliptic Calabi-Yau Threefolds.
32. D. S. Freed and E. Witten, Anomalies in String Theory with D-Branes.
33. P. S. Aspinwall and D. R. Morrison, Point-like Instantons on K3 Orbifolds, Nucl. Phys. B503 (1997) 533-564.
34. S. Katz and D. R. Morrison, Gorenstein Threefold Singularities with Small Resolutions via Invariant Theory for Weyl Groups, J. Alg. Geom. 1 (1992) 449-530.
35. J. H. Schwarz, Anomaly-Free Supersymmetric Models in Six Dimensions, Phys. Lett. B371 (1996) 223-230.
36. L. Alvarez-Gaumé and E. Witten, Gravitational Anomalies, Nucl. Phys. B234 (1984) 269-330.
37. P. Berglund and P. Mayr, Heterotic String/F-theory Duality from Mirror Symmetry, Adv. Theor. Math. Phys. 2 (1999) 1307-1372.