F-theory, geometric engineering and N = 1 dualities

Nuclear Physics B

Volumn 505, Issue 1-2, 1997, Pages 153-164

  Bershadsky, M ^a   Johansen, A ^a   Pantev, T ^b   Sadov, V ^c   Vafa, C ^a  

^a HARVARD UNIVERSITY   (United States)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^c INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

Duality; Gauge; Geometry; String; Supersymmetry

Indexed keywords

EID: 0031564021     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(97)00392-1     Document Type: Article

References (34)

1. [1] S. Katz, A. Klemm and C. Vafa, Geometric engineering of quantum field theories, Nucl. Phys. B 497 (1997) 173, hep-th/9609239.
2. [2] K. Intriligator and N. Seiberg, Lectures on supersymmetric gauge theories and electric-magnetic duality, Nucl. Phys. B (Proc. Suppl.) 45 BC (1996) 1.
3. [3] S. Katz and C. Vafa, Geometric engineering of N = 1 quantum field theories, Nucl. Phys. B 497 (1997) 196, hep-th/9611090.
4. [4] M. Bershadsky, K. Intriligator, S. Kachru, D.R. Morrison, V, Sadov and C. Vafa, Geometric singularities and enhanced gauge symmetries, Nucl. Phys. B 481 (1996) 215.
5. [5] S. Katz and C. Vafa, Matter from geometry, Nucl. Phys. B 497 (1997) 146, hep-th/9606086.
6. [6] S. Katz, private communication.
7. [7] M. Bershadsky and A. Johansen, Colliding singularities in F-theory and phase transitions, Nucl. Phys. B 489 (1997) 122.
8. [8] S. Sethi, C. Vafa and E. Witten, Constraints on low-dimensional string compactifications, Nucl. Phys. B 480 (1996) 213.
9. [9] K. Becker and M. Becker, M-theory on eight-manifolds, Nucl. Phys. B 477 (1996) 155.
10. [10] M. Bershadsky, V. Sadov and C. Vafa, D-strings on D-manifolds, Nucl. Phys. B 463 (1996) 398.
11. [11] N. Seiberg, Electric-magnetic duality in supersymmetric non-abelian gauge theories, Nucl. Phys. B 435 (1995) 129.
12. [12] M.A. Luty and W. Taylor IV, Varieties of vacua in classical supersymmetric gauge theories, Phys. Rev. D 53 (1996) 3399.
13. [13] N. Seiberg, Phys. Rev. D 49 (1994) 6857.
14. [14] E. Witten, Nucl. Phys. B 460 (1996) 541.
15. [15] M. Douglas, Gauge fields and D-branes, hep-th/9604198.
16. [16] C. Vafa, Instantons on D-branes, Nucl. Phys. B 463 (1996) 435.
17. [17] M. Bershadsky, A. Johansen, T. Pantev and V. Sadov, On four-dimensional compactifications of F-theory, Nucl. Phys. B 505 (1997) 165, next article in this issue.
18. [18] Wei-Ping Li and Zhenbo Qin, Stable vector bundles on algebraic surfaces, Trans. Am. Math. Soc. 345 (1994) 833.
19. [19] M. Maruyama, Elementary transformations in the theory of algebraic vector bundles, Algebraic geometry (La Rabida, 1981) p. 241, Lecture Notes in Math., 1961.
20. [20] I. Affleck, M. Dine and N. Seiberg, Nucl. Phys. B 241 (1984) 493; B 256 (1985) 557.
21. [20] I. Affleck, M. Dine and N. Seiberg, Nucl. Phys. B 241 (1984) 493; B 256 (1985) 557.
22. [21] K. Becker, M. Becker and A, Strominger, Fivebranes, Membranes and non-perturbative string theory, Nucl. Phys. B 456 (1995) 130.
23. [22] E. Witten, Non-perturbative superpotentials in string theory, Nucl. Phys. B 474 (1996) 343.
24. [23] M. Bershadsky, V. Sadov and C. Vafa, D-branes and topological field theories, Nucl. Phys. B 463 (1996) 420.
25. [24] A. Johansen, Int. J. Mod. Phys. A 10 (1995) 4325.
26. [25] E. Witten, private communication.
27. [26] M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa, Comm. Math. Phys 165 (1994) 311.
28. [27] M. Green, J. Harvey and G. Moore, I-brane inflow and anomalous couplings on D-branes, Class. Quant. Grav. 14 (1997) 47, hep-th/9605033.
29. [28] I. Antoniadis and B. Pioline, Higgs branch, hyperKähler quotient and duality in SUSY N = 2 Yang-Mills theories, hep-th/9607058.
30. [29] S. Mukai, Nagoya Math. J. 81 (1981) 153.
31. [30] P.C. Argyres, M.R. Plesser and N. Seiberg, The moduli space of N = 2 SUSY QCD and duality in N = 1 SUSY QCD, Nucl. Phys. B 471 (1996) 159.
32. [31] D. Kutasov, Phys. Lett. B 351 (1995) 230; D. Kutasov and A. Schwimmer, Phys. Lett. B 354 (1995) 315; D. Kutasov, A. Schwimmer and N. Seiberg, Nucl. Phys. B 459 (1996) 455.
33. [31] D. Kutasov, Phys. Lett. B 351 (1995) 230; D. Kutasov and A. Schwimmer, Phys. Lett. B 354 (1995) 315; D. Kutasov, A. Schwimmer and N. Seiberg, Nucl. Phys. B 459 (1996) 455.
34. [31] D. Kutasov, Phys. Lett. B 351 (1995) 230; D. Kutasov and A. Schwimmer, Phys. Lett. B 354 (1995) 315; D. Kutasov, A. Schwimmer and N. Seiberg, Nucl. Phys. B 459 (1996) 455.