Seiberg-Witten theory of rank two gauge groups and hypergeometric series

International Journal of Modern Physics A

Volumn 13, Issue 18, 1998, Pages 3121-3144

  Masuda, Takahiro ^a  

^a HOKKAIDO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009342338     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X98001542     Document Type: Article

References (77)

1. N.Seiberg and E.Witten, Nucl. Phys. B426 19 (1994);
2. Nucl. Phys. B431 484 (1994).
3. P.C.Argyres, M.R.Douglas, Nucl. Phys. B448 93 (1996), hep-th/9505062.
4. P.C.Argyres, R.N.Plesser, N.Seiberg and E.Witten, Nucl. Phys. B461 71 (1996), hep-th/9511154.
5. T.Eguchi, K.Hori, K.Ito and S.K.Yang, Nucl. Phys. B471 430 (1996), hepth/9603002.
6. A.Klemm, W.Lerche, S.Theisen and S.Yankielowics, Phys. Lett. B344 196 (1995);
7. C.P.Argyres and A.Farragi, Phys. Rev. Lett. 74 3931 (1995).
8. P.C.Argyres, R.Plesser and A.Shapere, Phys. Rev. Lett. 75 1699 (1995), hepth/9505100;
9. J.Minahan and D.Nemeschansky, Nucl. Phys. B464 3 (1996), hep-th/9507032.
10. A.Hanany and Y.Oz, Nucl. Phys. B452 283 (1995), hep-th/9505073
11. U.Danielson and B.Sundborg, Phys. Lett. B358 273 (1995), hep-th/9504102;
12. Phys. Lett. B370 83 (1996), hep-th/11180.
13. A.Brandhuber and K.Landsteiner, Phys. Lett. B358 73 (1995), hep-th/ 9507008.
14. R.Donagi and E.Witten, Nucl. Phys. B460 299 (1996), hep-th/9510101.
15. A.Hanany, Nucl. Phys. B466 85 (1996), hep-th/9509176.
16. P.C.Argyres and A.Shapere, Nucl. Phys. B461 437 (1996), hep-th/9509175.
17. A.Ceresole, R.D'Auria and S. Ferrara, Phys. Lett. B339 71 (1994).
18. S.Ryang, Phys. Lett. B365 113 (1996), hep-th/9508163.
19. A.Klemm, W.Lerche and S.Theisen, Int. Jour. Mod. Phys. A11 1929 (1996), hepth/9505015.
20. A.Brandhuber and S.Stieberger, " Periods, Coupling Constants and Modular Functions in N=2 SU(2) SYM with Massive Matter", hep-th/9609130.
21. T.Nakatsu and K.Takasaki, Mod. Phys. Lett. All 157 (1996) , hep-th/9509162.
22. E.Martinec, Phys. Lett. B367 91 (1996), hep-th/9510204.
23. H.Itoyama and A.Morozov, Nucl. Phys. B477 855 (1996), hep-th/9511126.
24. E.Martinec and N.Warner, Nucl. Phys. B459 97 (1996), hep-th/9509161.
25. M.Alishahiha, G.Ardalan and F.Mansouri, Phys. Lett. B381 446 (1996), hepth/9512005.
26. 2 Gauge Theory", hep-th/9609059.
27. M.R.Abolhasani, M.Alishahiha and A.M.Ghezelbash, Nucl. Phys. B480 279 (1996), hep-th/9606043.
28. W.Lerche and N.Warner, "Exceptional SW Geometry from ALE Fibrations ", hepth/9608183.
29. S.Kachru, A.Klemm, W.Lerche, P.Mayr and C.Vafa, Nucl. Phys. B459 537 (1996), hep-th/9508155.
30. A.Klemm, W.Lerche, P.Mayr, C.Vafa and N.Warner, Nucl. Phys. B477 746 (1996), hep-th/9604034.
31. W.Lerche, "Introduction to Seiberg-Witten Theory and its Stringy Origin", hepth/9611190.
32. A.Klemm, "On the Geometry behind N=2 Supersymmetric Effective Actions in Four Dimensions", hep-th/9705131.
33. J.H.Brodie, "Exact Solutions of Exceptional Gauge Theories from Toric Geometry", hep-th/9705068.
34. J.M.Isidro, A.Mukherjee, J.P.Nunes and H.J.Schnitzer, "A New Derivation of the Picard-Fuchs Equations for Effective N=2 Super Yang-Mills Theories", hepth/9609116
35. "A Note on the Picard-Fuchs Equations for N = 2 Seiberg-Witten Theories", hep-th/9703176.
36. M. Alishahiha, "On the Picard-Fuchs equations of the SW models", hep-th/9609157;
37. "Simple Derivation of the Picard-Fuchs Equations for the Seiberg-Witten Models", hep-th/9703186.
38. E.D'Hoker, I.Krichever and D.Phong, Nucl. Phys. B490 40 (1997), hep-th/9609079;
39. Nucl. Phys. B489 211 (1997), hep-th/9609145
40. T.Masuda and H.Suzuki, "On explicit evaluations around the conformal point in N = 2 supersymmetric Yang-Mills theories", hep-th/9612240.
41. M.Matone, Phys. Lett. B357 342 (1995), hep-th/9506102.
42. T.Eguchi and S.K.Yang, Mod. Phys. Lett. A11 131 (1996), hep-th/9510183.
43. H.Itoyama and A.Morozov, "Prepotential and the Seiberg-Witten Theory", hepth/9512161.
44. G.Bonelli and M.Matone, Phys. Rev. Lett. 76 4170 (1996), hep-th/9602174;
45. Phys. Rev. Lett. 77 4712 (1996), hep-th/9605090.
46. D.Finnell and P.Pouliot, Nucl. Phys. B453 225 (1996), hep-th/9503115.
47. A.Yung, Nucl. Phys. B485 38 (1997), hep-th/9605096.
48. F.Fucito and G.Travaglini, Phys. Rev. D55 1099 (1997), hep-th/9605215.
49. N.Dorey, V.A.Khoze and M.Mattis, Phys. Rev. D54 2921 (1996), hep-th/9603136;
50. Phys. Lett. B390 205 (1997), hep-th/9606199;
51. Phys. Lett. B388 324 (1996), hepth/9607066;
52. Phys. Rev. D54 7832 (1996), hep-th/9607202.
53. K.Ito and N.Sasakura, Phys. Lett. B382 95 (1996); hep-th/9602073;
54. Mod. Phys. Lett. A12 205 (1997); hep-th/9609104
55. T.Harano and M.Sato, Nucl. Phys. B484 167 (1997), hep-th/9608060.
56. H.Aoyama, T.Harano, M.Sato and S.Wada, Phys. Lett. B388 331 (1996), hepth/9607076.
57. K. Ito and N. Sasakura, Nucl. Phys. B484 141 (1997), hep-th/9608054.
58. E.D'Hoker and D.Phong, Phys. Lett. B39794(1997), hep-th/9701055.
59. A.Bilal and F.Ferrari, Nucl. Phys. B469 387 (1996), hep-th/9602082;
60. Nucl. Phys. B480 589 (1996), hep-th/9605101
61. L.Alvarez-Gaume, M.Marino and F.Zamora, Int. J. Mod. Phys. A11 4745 (1996), hep-th/9604004;
62. Int. J. Mod. Phys. A12 975 (1997), hep-th/9606191
63. "Softy broken N=2 QCD with Massive Quark Hypermultiplets, hep-th/9702054.
64. K.Ito and S.-K.Yang, Phys. Lett. B366 165 (1996), hep-th/9507144;
65. "Picard-Fuchs Equations and Prepotentials in N=2 Supersymmetric QCD", hep-th/9603073.
66. H.Ewen, K.Forger and S.Theisen, Nucl. Phys. B485 63 (1997), hep-th/9609062.
67. H.Ewen and K.Forger, " Simple Calculation of Instanton Corrections in Massive N=2 SU(3) SYM", hep-th/9610049.
68. Y.Ohta, J. Math. Phys. 37 6074 (1996), hep-th/9604051;
69. J. Math. Phys. 38 682 (1997), hep-th/9604059.
70. T. Masuda and H. Suzuki, " Prepotential of N = 2 Supersymmetric Yang-Mills Theories in the Weak Coupling Region", hep-th/9609065
71. " Periods and Prepotential of N=2 SU(2) Supersymmetric Yang-Mills Theory with Massive Hypermultiplets", hep-th/9609066.
72. K.Ito, "Picard-Fuchs Equations and Prepotential in N=2 Supersymmetric G2 Yang-Mills Theory", hep-th/9703180.
73. see for example, A.Erdélyi et al., "Higher Transcendal Functions",(McGraw-Hill, New York) Vol.1.
74. A.Erdélyi, Proc. Roy. Soc. Edinburgh Sect. A62 378 (1948).
75. P.Appell and M.J.Kanpé de Fériet, "Fonctions hypergeómétriques et hypersphériques. Polynomes d' Hermite." Gauthier-Villars. (1926).
76. H.Suzuki, " Enhanced Gauge Symmetry in Three Moduli Models of Type II String and Hypergeometric Series", hep-th/9701094.
77. S.Hosono, A.Klemm, S.Theisen and S.T.Yau, Nucl. Phys. B433 501 (1995), hepth/9406055.