Non-critical strings, del Pezzo singularities and Seiberg-Witten curves

Nuclear Physics B

Volumn 499, Issue 1-2, 1997, Pages 125-148

  Lerche, W ^a   Mayr, P ^a   Warner, N P ^b  

^a CERN   (Switzerland)

^b UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

Calabi Yau; Del Pezzo; E8; Elliptic singularities; Mirror symmetry; Non critical strings; Non perturbative; Seiberg Witten theory

Indexed keywords

EID: 0031577427     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(97)00312-X     Document Type: Article

References (45)

1. [1] E. Witten, Some Comments on String Dynamics, hep-th/9507121.
2. [2] N. Seiberg and E. Witten, Nucl. Phys. B 471 (1996) 121.
3. [3] O.J. Ganor and A. Hanany, Nucl. Phys. B 474 (1996) 122.
4. [4] E. Witten, Nucl. Phys. B 471 (1996) 195.
5. [5] O. Ganor, Nucl. Phys. B 489 (1997) 95; Compactification of Tensionless String Theories, hep-th/9607092.
6. [5] O. Ganor, Nucl. Phys. B 489 (1997) 95; Compactification of Tensionless String Theories, hep-th/9607092.
7. [6] O.J. Ganor, Nucl. Phys. B 479 (1996) 197.
8. [7] A. Klemm, P. Mayr and C. Vafa, BPS states of exceptional non-critical strings, hep-th/9607139.
9. [8] O. Ganor, Nucl. Phys. B 488 (1997) 223.
10. [9] E. Witten, Physical Interpretation Of Certain Strong Coupling Singularities, hep-th/9609159.
11. [10] P. Mayr, Mirror Symmetry, N = 1 Superpotentials and Tensionless Strings on Calabi-Yau Four-Folds, hep-th/9610162.
12. [11] J. Distler and A. Hanany, Nucl. Phys. B 490 (1997) 75.
13. [12] N. Seiberg, Phys. Lett. B 388 (1996) 753.
14. [13] D. R. Morrison and N. Seiberg, Nucl. Phys. B 483 (1997) 229.
15. [14] M. Douglas, S. Katz and C. Vafa, Small Instantons, Del Pezzo Surfaces and Type I′ theory, hep-th/9609071.
16. [15] O.J. Ganor, D.R. Morrison and N. Seiberg, Nucl. Phys. B 487 (1997) 93.
17. [16] D.R. Morrison and C. Vafa, Nucl. Phys. B 473 (1996) 74; B 476 (1996) 437.
18. [16] D.R. Morrison and C. Vafa, Nucl. Phys. B 473 (1996) 74; B 476 (1996) 437.
19. [17] N. Seiberg and E. Witten, Nucl. Phys. B 426(1994) 19; B 431 (1994) 484.
20. [17] N. Seiberg and E. Witten, Nucl. Phys. B 426(1994) 19; B 431 (1994) 484.
21. [18] S. Kachru, A. Klemm, W. Lerche, P. Mayr and C. Vafa, Nucl. Phys. B 459 (1996) 537.
22. [19] A. Klemm, W. Lerche, P. Mayr, C. Vafa and N.P. Warner, Nucl. Phys. B 477 (1996) 746.
23. [20] M. Günaydin, G. Sierra and P.K. Townsend, Nucl. Phys. B 242 (1994) 244; 253 (1985) 573.
24. [20] M. Günaydin, G. Sierra and P.K. Townsend, Nucl. Phys. B 242 (1994) 244; 253 (1985) 573.
25. [21] I. Antoniadis, S. Ferrara and T.R. Taylor, Nucl. Phys. B 460 (1996) 489.
26. [22] A. Ceresole, R. D'Auria, S. Ferrara and A. Van Proeyen, Nucl. Phys. B 444 (1995) 92.
27. [23] J. Minahan and D. Nemeschansky, Nucl. Phys. B 482 (1996) 142; B 489 (1997) 24.
28. [23] J. Minahan and D. Nemeschansky, Nucl. Phys. B 482 (1996) 142; B 489 (1997) 24.
29. [24] P.C. Argyres, M.R. Plesser, N. Seiberg and E. Witten, Nucl. Phys. B 461 (1996) 71.
30. [25] C. Vafa and D. Goshal, Nucl. Phys. B 453 (1995) 121.
31. [26] S. Mukhi and C. Vafa, Nucl. Phys. B 407 (1993) 667.
32. [27] H. Ooguri and C. Vafa, Nucl. Phys. B 463 (1996) 55.
33. [28] B. Lian and S.-T. Yau, Comm. Math. Phys. 176 (1996) 163.
34. [29] K. Saito, Einfach-Elliptische Singularitäten, Inv. Math. 23 (1974) 289.
35. [30] C. Vafa, Nucl. Phys. B 477 (1995) 262.
36. [31] M. Bershadsky, S. Ceccotti, H. Ooguri and C. Vafa (App. by S. Katz), Nucl. Phys. B 405 (1993) 279; Comm. Math. Phys. 165 (1994) 311.
37. [31] M. Bershadsky, S. Ceccotti, H. Ooguri and C. Vafa (App. by S. Katz), Nucl. Phys. B 405 (1993) 279; Comm. Math. Phys. 165 (1994) 311.
38. [32] T. Masuda and H. Suzuki, Periods and Prepotential of N = 2 SU(2) Supersymmetric Yang-Mills Theory with Massive Hypermultiplets, hep-th/9609066.
39. [33] W. Lerche and N.P. Warner, Exceptional SW Geometry from ALE Fibrations, hep-th/9608183.
40. [34] J. Harvey and G. Moore, Nucl. Phys. B 463 (1996) 315; On the Algebras of BPS States, hep-th/9609017.
41. [34] J. Harvey and G. Moore, Nucl. Phys. B 463 (1996) 315; On the Algebras of BPS States, hep-th/9609017.
42. [35] See e.g., V. Arnold, A. Gusein-Zade and A. Varchenko, Singularities of Differentiable Maps I, II (Birkhäuser, Basel, 1985).
43. [36] P. Candelas and A. Font, Duality Between Webs of Heterotic and Type II Vacua, hep-th/9603170.
44. [37] J. Louis, J. Sonnenschein, S. Theisen and S. Yankielowicz, Nucl. Phys. B 480 (1996) 185.
45. [38] P. Candelas, X. De la Ossa, A. Font, S. Katz and D. Morrison, Nucl. Phys. B 429 (1994) 626.