Isomonodromic deformations and supersymmetric gauge theories

International Journal of Modern Physics A

Volumn 11, Issue 31, 1996, Pages 5505-5518

  Takasaki, Kanehisa ^a   Nakatsu, Toshio ^b  

^a KYOTO UNIVERSITY   (Japan)

^b RITSUMEIKAN UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000647768     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X96002522     Document Type: Article

References (58)

1. N. Seiberg and E. Witten, Nucl. Phys. B426, 19 (1994), hep-th/9407087; errata, ibid. B430, 485 (1994); ibid. B431, 484 (1994), hep-th/9408099.
2. N. Seiberg and E. Witten, Nucl. Phys. B426, 19 (1994), hep-th/9407087; errata, ibid. B430, 485 (1994); ibid. B431, 484 (1994), hep-th/9408099.
3. N. Seiberg and E. Witten, Nucl. Phys. B426, 19 (1994), hep-th/9407087; errata, ibid. B430, 485 (1994); ibid. B431, 484 (1994), hep-th/9408099.
4. A. Gorsky, I. Krichever, A. Marshakov, A. Mironov and A. Morozov, Phys. Lett. B335, 466 (1995), hep-th/9505035.
5. G. B. Whitham, Linear and Nonlinear Waves (Wiley, 1974); H. Flaschka, M. G. Forest and D. W. McLaughlin, Commun. Pure Appl. Math. 33, 739 (1980); S. Yu. Dobrokhotov and V. P. Maslov, J. Soviet Math. 16, 1433 (1981); B. A. Dubrovin and S. P. Novikov, Russian Math. Surveys 44, 6, 35 (1989).
6. G. B. Whitham, Linear and Nonlinear Waves (Wiley, 1974); H. Flaschka, M. G. Forest and D. W. McLaughlin, Commun. Pure Appl. Math. 33, 739 (1980); S. Yu. Dobrokhotov and V. P. Maslov, J. Soviet Math. 16, 1433 (1981); B. A. Dubrovin and S. P. Novikov, Russian Math. Surveys 44, 6, 35 (1989).
7. G. B. Whitham, Linear and Nonlinear Waves (Wiley, 1974); H. Flaschka, M. G. Forest and D. W. McLaughlin, Commun. Pure Appl. Math. 33, 739 (1980); S. Yu. Dobrokhotov and V. P. Maslov, J. Soviet Math. 16, 1433 (1981); B. A. Dubrovin and S. P. Novikov, Russian Math. Surveys 44, 6, 35 (1989).
8. G. B. Whitham, Linear and Nonlinear Waves (Wiley, 1974); H. Flaschka, M. G. Forest and D. W. McLaughlin, Commun. Pure Appl. Math. 33, 739 (1980); S. Yu. Dobrokhotov and V. P. Maslov, J. Soviet Math. 16, 1433 (1981); B. A. Dubrovin and S. P. Novikov, Russian Math. Surveys 44, 6, 35 (1989).
9. E. Martinec and N. Warner, Nucl. Phys. B459, 97 (1996), hep-th/9509161.
10. T. Nakatsu and K. Takasaki, "Whitham-Toda hierarchy and N = 2 supersymmetric Yang-Mills theory," hep-th/9509162.
11. P. Argyres and A. Faraggi, Phys. Rev. Lett. 73, 3931 (1995), hep-th/9411057.
12. A. Klemm, W. Lerche, S. Theisen and S. Yankielowicz, Phys. Lett. B344, 169 (1995), hep-th/9411048.
13. U. H. Danielsson and B. Sundborg, Phys. Lett. B358, 273 (1995), hep-th/9504102.
14. A. Brandhuber and K. Landsteiner, Phys. Lett. B358, 73 (1995), hep-th/9507008.
15. T. Eguchi and S.-K. Yang, "Prepotentials of N = 2 supersymmetric gauge theories and soliton equations," hep-th/9510183.
16. A. Hanany and Y. Oz, Nucl. Phys. B452, 283 (1995), hep-th/9505075; A. Hanany, "On the quantum moduli space of vacua of N = 2 supersymmetric gauge theories," hep-th/9509176.
17. A. Hanany and Y. Oz, Nucl. Phys. B452, 283 (1995), hep-th/9505075; A. Hanany, "On the quantum moduli space of vacua of N = 2 supersymmetric gauge theories," hep-th/9509176.
18. P. Argyres, M. R. Plesser and A. D. Shapere, Phys. Rev. Lett. 75, 1699 (1995), hep-th/9505100; P. Argyres and A. Shapere, "The vacuum structure of N = 2 super-QCD with classical gauge groups," hep-th/9509175.
19. P. Argyres, M. R. Plesser and A. D. Shapere, Phys. Rev. Lett. 75, 1699 (1995), hep-th/9505100; P. Argyres and A. Shapere, "The vacuum structure of N = 2 super-QCD with classical gauge groups," hep-th/9509175.
20. R. Donagi and E. Witten, "Supersymmetric Yang-Mills theory and integrable systems," hep-th/9510101.
21. A. Gorsky and A. Marshakov, "Towards effective topological gauge theories on spectral curves," hep-th/9510224.
22. E. Martinec, Phys. Lett. B367, 91 (1996), hep-th/9510204; E. Martinec and N. Waner, "Integrability in N = 2 gauge theory: A proof," hep-th/9511052.
23. E. Martinec, Phys. Lett. B367, 91 (1996), hep-th/9510204; E. Martinec and N. Waner, "Integrability in N = 2 gauge theory: A proof," hep-th/9511052.
24. H. Itoyama and A. Morozov, "Integrability and Seiberg-Witten theory. Curves and periods," hep-th/9511126; "Prepotential and the Seiberg-Witten theory," hep-th/9512161.
25. H. Itoyama and A. Morozov, "Integrability and Seiberg-Witten theory. Curves and periods," hep-th/9511126; "Prepotential and the Seiberg-Witten theory," hep-th/9512161.
26. H. Flaschka and A.C. Newell, Commun. Math. Phys. 76, 65 (1980); Physica D3, 203 (1981).
27. H. Flaschka and A.C. Newell, Commun. Math. Phys. 76, 65 (1980); Physica D3, 203 (1981).
28. P. Boutroux, Ann. Sci. L'Ecole Norm. Super. 30, 255 (1913).
29. R. Gamier, Rend. Circ. Mat. Palermo 43, 155 (1919).
30. G. Moore, Commun. Math. Phys. 133, 261 (1990).
31. S. P. Novikov, Fund. Anal Appl. 24, 296 (1990).
32. F. Fucito, A. Gamba, M. Martellini and O. Ragnisco, Int. J. Mod. Phys. B6, 2123 (1992), hep-th/9112074.
33. B. A. Dubrovin, V. B. Matveev and S. P. Novikov, Russian Math. Surveys 31, 1, 59 (1976); I. M. Krichever, Russian Math. Surveys 32, 6, 185 (1977); Funct. Anal. Appl. 11, 12 (1977).
34. B. A. Dubrovin, V. B. Matveev and S. P. Novikov, Russian Math. Surveys 31, 1, 59 (1976); I. M. Krichever, Russian Math. Surveys 32, 6, 185 (1977); Funct. Anal. Appl. 11, 12 (1977).
35. B. A. Dubrovin, V. B. Matveev and S. P. Novikov, Russian Math. Surveys 31, 1, 59 (1976); I. M. Krichever, Russian Math. Surveys 32, 6, 185 (1977); Funct. Anal. Appl. 11, 12 (1977).
36. N. J. Hitchin, Duke Math. J. 54, 91 (1987); Commun. Math. Phys. 131, 347 (1990).
37. N. J. Hitchin, Duke Math. J. 54, 91 (1987); Commun. Math. Phys. 131, 347 (1990).
38. M. Jimbo, T. Miwa and K. Ueno, Physica D2, 306 (1981); M. Jimbo and T. Miwa, ibid. D2, 407 (1981).
39. M. Jimbo, T. Miwa and K. Ueno, Physica D2, 306 (1981); M. Jimbo and T. Miwa, ibid. D2, 407 (1981).
40. A. Newell and J. Whitehead, J. Fluid Mech. 38, 279 (1969); J. D. Gibbon and M. J. McGuiness, Proc. R. Soc. London A377, 185 (1981); A. Newell, in Propagation in Systems Far from Equilibrium. (Les Houches, 1987), ed. J. E. Wesfeld (Springer-Verlag, 1988).
41. A. Newell and J. Whitehead, J. Fluid Mech. 38, 279 (1969); J. D. Gibbon and M. J. McGuiness, Proc. R. Soc. London A377, 185 (1981); A. Newell, in Propagation in Systems Far from Equilibrium. (Les Houches, 1987), ed. J. E. Wesfeld (Springer-Verlag, 1988).
42. A. Newell and J. Whitehead, J. Fluid Mech. 38, 279 (1969); J. D. Gibbon and M. J. McGuiness, Proc. R. Soc. London A377, 185 (1981); A. Newell, in Propagation in Systems Far from Equilibrium. (Les Houches, 1987), ed. J. E. Wesfeld (Springer-Verlag, 1988).
43. I. M. Krichever, Funct. Anal. Appl. 22, 200 (1990); Russian Math. Surveys 44, 2, 145 (1989).
44. I. M. Krichever, Funct. Anal. Appl. 22, 200 (1990); Russian Math. Surveys 44, 2, 145 (1989).
45. G. Moore, Prog. Theor. Phys. Supp. 102, 255 (1990).
46. K. Ueno and K. Takasaki, in Group Representations and Systems of Differential Equations - Advanced Studies in Pure Math., Vol. 4, ed. K. Okamoto (North-Holland/Kinokuniya, 1984).
47. S. Cecotti and C. Vafa, Phys. Rev. Lett. 68, 903 (1992).
48. B. Dubrovin, Commun. Math. Phys. 152, 539 (1993), hep-th/9206037.
49. B. A. Dubrovin, Nucl. Phys. B379, 627 (1992); in Integrable Systems - Progress in Mathematics, Vol. 115, eds. O. Babelon et al. (Birkhäuser, 1993), hep-th/9209040.
50. B. A. Dubrovin, Nucl. Phys. B379, 627 (1992); in Integrable Systems - Progress in Mathematics, Vol. 115, eds. O. Babelon et al. (Birkhäuser, 1993), hep-th/9209040.
51. S. Kachru, A. Klemm, W. Lerche, P. Mayr and C. Vafa, Nucl. Phys. B459, 537 (1996), hep-th/9508155.
52. N. Joshi and M. D. Kruskal, Phys. Lett. 130, 129 (1988); T. Aoki, T. Kawai and Y. Takei, "WKB analysis of Painlevé transcendents with a large parameter II multiple-scale analysis of Painlevé transcendents," Kyoto preprint RIMS-1038 (1995).
53. N. Joshi and M. D. Kruskal, Phys. Lett. 130, 129 (1988); T. Aoki, T. Kawai and Y. Takei, "WKB analysis of Painlevé transcendents with a large parameter II multiple-scale analysis of Painlevé transcendents," Kyoto preprint RIMS-1038 (1995).
54. K. Okamoto, I. Funkcial. Ekvac. 14, 137 (1971); J. Fac. Sci. Univ. Tokyo, Sec. IA 24, 357 (1977); ibid. 26, 501 (1979); K. Iwasaki, J. Fac. Sci. Univ. Tokyo, Sec. IA 38, 431 (1991); Pacific J. Math. 155, 319 (1992).
55. K. Okamoto, I. Funkcial. Ekvac. 14, 137 (1971); J. Fac. Sci. Univ. Tokyo, Sec. IA 24, 357 (1977); ibid. 26, 501 (1979); K. Iwasaki, J. Fac. Sci. Univ. Tokyo, Sec. IA 38, 431 (1991); Pacific J. Math. 155, 319 (1992).
56. K. Okamoto, I. Funkcial. Ekvac. 14, 137 (1971); J. Fac. Sci. Univ. Tokyo, Sec. IA 24, 357 (1977); ibid. 26, 501 (1979); K. Iwasaki, J. Fac. Sci. Univ. Tokyo, Sec. IA 38, 431 (1991); Pacific J. Math. 155, 319 (1992).
57. K. Okamoto, I. Funkcial. Ekvac. 14, 137 (1971); J. Fac. Sci. Univ. Tokyo, Sec. IA 24, 357 (1977); ibid. 26, 501 (1979); K. Iwasaki, J. Fac. Sci. Univ. Tokyo, Sec. IA 38, 431 (1991); Pacific J. Math. 155, 319 (1992).
58. K. Okamoto, I. Funkcial. Ekvac. 14, 137 (1971); J. Fac. Sci. Univ. Tokyo, Sec. IA 24, 357 (1977); ibid. 26, 501 (1979); K. Iwasaki, J. Fac. Sci. Univ. Tokyo, Sec. IA 38, 431 (1991); Pacific J. Math. 155, 319 (1992).