A new derivation of the Picard-Fuchs equations for effective N = 2 super Yang-Mills theories

Nuclear Physics B

Volumn 492, Issue 3, 1997, Pages 647-681

  Isidro, José M ^a,c   Mukherjee, Avijit ^a   Nunes, João P ^a,b   Schnitzer, Howard J ^a  

^a BRANDEIS UNIVERSITY   (United States)

^b BROWN UNIVERSITY   (United States)

^c UNIVERSITY OF SANTIAGO DE COMPOSTELA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031578214     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(97)00133-8     Document Type: Article

References (42)

1. N. Seiberg and E. Witten, Nucl. Phys. B 426 (1994) 19, hep-th/9407087; Nucl. Phys. B 431 (1994) 484, hep-th/9408099.
2. N. Seiberg and E. Witten, Nucl. Phys. B 426 (1994) 19, hep-th/9407087; Nucl. Phys. B 431 (1994) 484, hep-th/9408099.
3. A. Klemm, W. Lerche, S. Theisen and S, Yanckielowicz, Phys. Lett. B 344 (1995) 169, hep-th/9411048.
4. P.C. Argyres and A. E. Faraggi, Phys. Rev. Lett. 74 (1995) 3931, hep-th/9411057.
5. A. Brandhuber and K. Landsteiner, Phys. Lett. B 358 (1995) 73, hep-th/9507008.
6. A. Hanany and Y. Oz, Nucl. Phys. B 452 (1995) 283, hep-th/9505075.
7. A. Hanany, Nucl. Phys. B 466 (1996) 85, hep-th/9509176.
8. P.C. Argyres and A. Shapere, Nucl. Phys. B 461 (1996) 437, hep-th/9509175.
9. 2 Yang-Mills theory, hep-th/9512005.
10. U.H. Danielsson and B. Sundborg, Phys. Lett. 358 (1995) 73, hep-th/9504102.
11. A. Klemm, W. Lerche and S. Theisen, Int. J. Mod. Phys. A 11 (1996) 1929, hep-th/9505150.
12. M. Douglas and S.H. Shenker, Nucl. Phys. B 447 (1995) 271, hep-th/9503163.
13. P.C. Argyres and M. Douglas, Nucl. Phys. B 448 (1995) 166, hep-th/9505062.
14. P.C. Argyres, M.R. Plesser and A.D. Shapere, Phys. Rev. Lett. 75 (1995) 1699, hep-th/9505100.
15. T. Eguchi, K. Hori, K. Ito and S.-K. Yang, Nucl. Phys. B 471 (1996) 430, hep-th/9603002.
16. U.H. Danielsson and B. Sundborg, Phys. Lett. B 370 (1996) 83, hep-th/9511180.
17. P.C. Argyres, M.R. Plesser and N. Seiberg, the moduli space of vacua of N = 2 SUSY QCD and duality in N = 1 SUSY QCD, hep-th/9603042.
18. J.A. Minahan and D. Nemeshansky, Nucl. Phys. B 464 (1996) 3, hep-th/9507032.
19. M. Matone, Phys. Lett. B 357 (1995) 342; G. Bonelli and M. Matone, Phys. Rev. Lett. 76 (1996) 4107; Non-perturbative relations in N = 2 SUSY Yang-Mills and WDVV equation, hep-th/9605090; Bonelli, Matone and Tonin, Solving the N = 2 SYM by refection symmetry of quantum vacua, hep-th/9610026.
20. M. Matone, Phys. Lett. B 357 (1995) 342; G. Bonelli and M. Matone, Phys. Rev. Lett. 76 (1996) 4107; Non-perturbative relations in N = 2 SUSY Yang-Mills and WDVV equation, hep-th/9605090; Bonelli, Matone and Tonin, Solving the N = 2 SYM by refection symmetry of quantum vacua, hep-th/9610026.
21. M. Matone, Phys. Lett. B 357 (1995) 342; G. Bonelli and M. Matone, Phys. Rev. Lett. 76 (1996) 4107; Non-perturbative relations in N = 2 SUSY Yang-Mills and WDVV equation, hep-th/9605090; Bonelli, Matone and Tonin, Solving the N = 2 SYM by refection symmetry of quantum vacua, hep-th/9610026.
22. M. Matone, Phys. Lett. B 357 (1995) 342; G. Bonelli and M. Matone, Phys. Rev. Lett. 76 (1996) 4107; Non-perturbative relations in N = 2 SUSY Yang-Mills and WDVV equation, hep-th/9605090; Bonelli, Matone and Tonin, Solving the N = 2 SYM by refection symmetry of quantum vacua, hep-th/9610026.
23. A. Bilal, Duality in N = 2 SU(2) Yang-Mills theory, hep-th/9601007; A. Bilal and F. Ferrari, Curves of marginal stability, and weak and strong-coupling BPS spectra in N = 2 supersymmetric QCD, hep-th/9605101.
24. A. Bilal, Duality in N = 2 SU(2) Yang-Mills theory, hep-th/9601007; A. Bilal and F. Ferrari, Curves of marginal stability, and weak and strong-coupling BPS spectra in N = 2 supersymmetric QCD, hep-th/9605101.
25. F. Ferrari and A. Bilal, The strong-coupling spectrum of the Seiberg-Witten theory, hep-th/9602082; Exact multiplets of spontaneously broken discrete global symmetries, hep-th/9606111.
26. F. Ferrari and A. Bilal, The strong-coupling spectrum of the Seiberg-Witten theory, hep-th/9602082; Exact multiplets of spontaneously broken discrete global symmetries, hep-th/9606111.
27. K. Ito and S.-K. Yang, Phys. Rev. D 53 (1996) 2213, hep-th/9603073; Phys. Lett. B 366 (1996) 165, hep-th/9507144; M. Alishahiha, On the Picard-Fuchs equations of the SW models, (hep-th/9609157).
28. K. Ito and S.-K. Yang, Phys. Rev. D 53 (1996) 2213, hep-th/9603073; Phys. Lett. B 366 (1996) 165, hep-th/9507144; M. Alishahiha, On the Picard-Fuchs equations of the SW models, (hep-th/9609157).
29. K. Ito and S.-K. Yang, Phys. Rev. D 53 (1996) 2213, hep-th/9603073; Phys. Lett. B 366 (1996) 165, hep-th/9507144; M. Alishahiha, On the Picard-Fuchs equations of the SW models, (hep-th/9609157).
30. Y. Ohta, Prepotential of N = 2 SU(2) Yang-Mills gauge theory coupled with a massive matter multiplet, hep-th/9604051; Prepotentials of N = 2 SU(2) Yang-Mills gauge theories coupled with massive matter multiplets, hep-th/9604059.
31. Y. Ohta, Prepotential of N = 2 SU(2) Yang-Mills gauge theory coupled with a massive matter multiplet, hep-th/9604051; Prepotentials of N = 2 SU(2) Yang-Mills gauge theories coupled with massive matter multiplets, hep-th/9604059.
32. S. Ryang, Phys. Lett. B 365 (1996) 113, hep-th/9508163.
33. c) gauge theories, hep-th/9609145.
34. c) gauge theories, hep-th/9609145.
35. c) gauge theories, hep-th/9609145.
36. H. Ewen, K. Foerger and S. Theisen, Prepotentials in N = 2 supersymmetric SU(3) Yang-Mills theories with massless hypermultiplets, hep-th/9609062; H. Ewen and K. Foerger, Simple calculation of instanton corrections in massive N = 2 SU'(3) SYM, (hep-th/9610049).
37. H. Ewen, K. Foerger and S. Theisen, Prepotentials in N = 2 supersymmetric SU(3) Yang-Mills theories with massless hypermultiplets, hep-th/9609062; H. Ewen and K. Foerger, Simple calculation of instanton corrections in massive N = 2 SU'(3) SYM, (hep-th/9610049)
38. A. Mukherjee, Aspects of topological conformal field theory, Ph.D Thesis, University of Cambridge, 1995.
39. H. M. Farkas and I. Kra, Riemann Surfaces, 2nd Ed., Graduate Texts in Mathematics, Vol. 71 (Springer, New York, 1991).
40. W. Fulton, Algebraic Topology, Graduate Texts in Mathematics, Vol. 153 (Springer, New York, 1995).
41. 2 gauge theory, hep-th/9609059.
42. J.M. Isidro, A. Mukherjee, J.P. Nunes and H.J. Schnitzer, in preparation.