An introduction to supersymmetric gauge theories and matrix models

International Journal of Modern Physics A

Volumn 19, Issue 13, 2004, Pages 2015-2078

  Argurio, Riccardo ^a   Ferretti, Gabriele ^b   Heise, Rainer ^b  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^b UNIVERSITY OF GOTHENBURG   (Sweden)

Author keywords

Chiral ring; Konishi anomaly; Matrix models; Supersymmetric gauge theories

Indexed keywords

CHIRALITY; MATHEMATICAL MODEL; MOLECULAR DYNAMICS; MOLECULAR MODEL; REVIEW; THEORETICAL MODEL; VECTOR CONTROL;

EID: 7044225746     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X04018038     Document Type: Review

References (127)

1. R. Dijkgraaf and C. Vafa, arXiv:hep-th/0208048.
2. D. Amati, K. Konishi, Y. Meurice, G. C. Rossi and G. Veneziano, Phys. Rep. 162, 169 (1988).
3. K. A. Intriligator and N. Seiberg, Nucl. Phys. Proc. Suppl. C45B, 1 (1996); M. A. Shifman, Prog. Part. Nucl. Phys. 39, 1 (1997); D. S. Berman and E. Rabinovici, arXiv:hep-th/0210044.
4. K. A. Intriligator and N. Seiberg, Nucl. Phys. Proc. Suppl. C45B, 1 (1996); M. A. Shifman, Prog. Part. Nucl. Phys. 39, 1 (1997); D. S. Berman and E. Rabinovici, arXiv:hep-th/0210044.
5. R. Gopakumar and C. Vafa, Adv. Theor. Math. Phys. 3, 1415 (1999); C. Vafa, J. Math. Phys. 42, 2798 (2001); F. Cachazo, K. A. Intriligator and C. Vafa, Nucl. Phys. B603, 3 (2001); R. Dijkgraaf and C. Vafa, Nucl. Phys. B644, 3 (2002); R. Dijkgraaf and C. Vafa, Nucl. Phys. B644, 21 (2002).
6. R. Gopakumar and C. Vafa, Adv. Theor. Math. Phys. 3, 1415 (1999); C. Vafa, J. Math. Phys. 42, 2798 (2001); F. Cachazo, K. A. Intriligator and C. Vafa, Nucl. Phys. B603, 3 (2001); R. Dijkgraaf and C. Vafa, Nucl. Phys. B644, 3 (2002); R. Dijkgraaf and C. Vafa, Nucl. Phys. B644, 21 (2002).
7. R. Gopakumar and C. Vafa, Adv. Theor. Math. Phys. 3, 1415 (1999); C. Vafa, J. Math. Phys. 42, 2798 (2001); F. Cachazo, K. A. Intriligator and C. Vafa, Nucl. Phys. B603, 3 (2001); R. Dijkgraaf and C. Vafa, Nucl. Phys. B644, 3 (2002); R. Dijkgraaf and C. Vafa, Nucl. Phys. B644, 21 (2002).
8. R. Gopakumar and C. Vafa, Adv. Theor. Math. Phys. 3, 1415 (1999); C. Vafa, J. Math. Phys. 42, 2798 (2001); F. Cachazo, K. A. Intriligator and C. Vafa, Nucl. Phys. B603, 3 (2001); R. Dijkgraaf and C. Vafa, Nucl. Phys. B644, 3 (2002); R. Dijkgraaf and C. Vafa, Nucl. Phys. B644, 21 (2002).
9. R. Gopakumar and C. Vafa, Adv. Theor. Math. Phys. 3, 1415 (1999); C. Vafa, J. Math. Phys. 42, 2798 (2001); F. Cachazo, K. A. Intriligator and C. Vafa, Nucl. Phys. B603, 3 (2001); R. Dijkgraaf and C. Vafa, Nucl. Phys. B644, 3 (2002); R. Dijkgraaf and C. Vafa, Nucl. Phys. B644, 21 (2002).
10. F. Ferrari, Nucl. Phys. B648, 161 (2003).
11. N. Seiberg and E. Witten, Nucl. Phys. B426, 19 (1994) [erratum, ibid. B430, 485 (1994)]; N. Seiberg and E. Witten, Nucl. Phys. B431, 484 (1994).
12. N. Seiberg and E. Witten, Nucl. Phys. B426, 19 (1994) [erratum, ibid. B430, 485 (1994)]; N. Seiberg and E. Witten, Nucl. Phys. B431, 484 (1994).
13. R. Dijkgraaf, M. T. Grisaru, C. S. Lam, C. Vafa and D. Zanon, arXiv:hep-th/0211017.
14. F. Cachazo, M. R. Douglas, N. Seiberg and E. Witten, J. High Energy Phys. 0212, 071 (2002).
15. K. Konishi, Phys. Lett. B135, 439 (1984); K. Konishi and K. Shizuya, Nuovo Cimento A90, 111 (1985).
16. K. Konishi, Phys. Lett. B135, 439 (1984); K. Konishi and K. Shizuya, Nuovo Cimento A90, 111 (1985).
17. E. Brezin, C. Itzykson, G. Parisi and J. B. Zuber, Commun. Math. Phys. 59, 35 (1978).
18. J. Wess and J. Bagger, in Supersymmetry and Supergravity, Princeton Series in Physics (1992).
19. J. Wess and B. Zumino, Phys. Lett. B49, 52 (1974).
20. S. Ferrara and B. Zumino, Nucl. Phys. B79, 413 (1974); A. Salam and J. Strathdee, Phys. Lett. B51, 353 (1974).
21. S. Ferrara and B. Zumino, Nucl. Phys. B79, 413 (1974); A. Salam and J. Strathdee, Phys. Lett. B51, 353 (1974).
22. A. Salam and J. Strathdee, Nucl. Phys. B76, 477 (1974).
23. M. A. Luty and W. I. Taylor, Phys. Rev. D53, 3399 (1996).
24. M. T. Grisaru, W. Siegel and M. Rocek, Nucl. Phys. B159, 429 (1979).
25. P. C. West, Phys. Lett. B258, 375 (1991); I. Jack, D. R. Jones and P. C. West, Phys. Lett. B258, 382 (1991).
26. P. C. West, Phys. Lett. B258, 375 (1991); I. Jack, D. R. Jones and P. C. West, Phys. Lett. B258, 382 (1991).
27. N. Seiberg, Phys. Lett. B318, 469 (1993).
28. M. A. Shifman and A. I. Vainshtein, Nucl. Phys. B359, 571 (1991).
29. K. A. Intriligator, R. G. Leigh and N. Seiberg, Phys. Rev. D50, 1092 (1994); K. A. Intriligator, Phys. Lett. B336, 409 (1994).
30. K. A. Intriligator, R. G. Leigh and N. Seiberg, Phys. Rev. D50, 1092 (1994); K. A. Intriligator, Phys. Lett. B336, 409 (1994).
31. I. Affleck, M. Dine and N. Seiberg, Nucl. Phys. B241, 493 (1984); I. Affleck, M. Dine and N. Seiberg, Nucl. Phys. B256, 557 (1985).
32. I. Affleck, M. Dine and N. Seiberg, Nucl. Phys. B241, 493 (1984); I. Affleck, M. Dine and N. Seiberg, Nucl. Phys. B256, 557 (1985).
33. G. Veneziano and S. Yankielowicz, Phys. Lett. B113, 231 (1982); T. R. Taylor, G. Veneziano and S. Yankielowicz, Nucl. Phys. B218, 493 (1983).
34. G. Veneziano and S. Yankielowicz, Phys. Lett. B113, 231 (1982); T. R. Taylor, G. Veneziano and S. Yankielowicz, Nucl. Phys. B218, 493 (1983).
35. N. Dorey, T. J. Hollowood, V. V. Khoze and M. P. Mattis, Phys. Rep. 371, 231 (2002).
36. D. Finnell and P. Pouliot, Nucl. Phys. B453, 225 (1995).
37. P. Kraus and M. Shigemori, J. High Energy Phys. 0304, 052 (2003); L. F. Alday and M. Cirafici, J. High Energy Phys. 0305, 041 (2003); P. Kraus, A. V. Ryzhov and M. Shigemori, J. High Energy Phys. 0305, 059 (2003); M. Aganagic, K. Intriligator, C. Vafa and N. P. Warner, arXiv:hep-th/0304271; F. Cachazo, arXiv:hep-th/0307063;
38. P. Kraus and M. Shigemori, J. High Energy Phys. 0304, 052 (2003); L. F. Alday and M. Cirafici, J. High Energy Phys. 0305, 041 (2003); P. Kraus, A. V. Ryzhov and M. Shigemori, J. High Energy Phys. 0305, 059 (2003); M. Aganagic, K. Intriligator, C. Vafa and N. P. Warner, arXiv:hep-th/0304271; F. Cachazo, arXiv:hep-th/0307063;
39. P. Kraus and M. Shigemori, J. High Energy Phys. 0304, 052 (2003); L. F. Alday and M. Cirafici, J. High Energy Phys. 0305, 041 (2003); P. Kraus, A. V. Ryzhov and M. Shigemori, J. High Energy Phys. 0305, 059 (2003); M. Aganagic, K. Intriligator, C. Vafa and N. P. Warner, arXiv:hep-th/0304271; F. Cachazo, arXiv:hep-th/0307063;
40. M. Matone, J. High Energy Phys. 0310, 068 (2003); K. Landsteiner and C. I. Lazaroiu, arXiv:hep-th/0310111.
41. G. 't Hooft, Nucl. Phys. B72, 461 (1974).
42. H. Ooguri and C. Vafa, Nucl. Phys. B641, 3 (2002).
43. V. A. Novikov, M. A. Shifman, A. I. Vainshtein and V. I. Zakharov, Nucl. Phys. B229, 407 (1983).
44. E. Witten, arXiv:hep-th/0302194.
45. P. Etingof and V. Kac, arXiv:math.qa/0305175.
46. E. Witten, Nucl. Phys. B202, 253 (1982).
47. A. Ceresole, G. Dall'Agata, R. D'Auria and S. Ferrara, Phys. Rev. D61, 066001 (2000).
48. N. Seiberg, J. High Energy Phys. 0301, 061 (2003).
49. A. Gorsky, Phys. Lett. B554, 185 (2003).
50. A. Brandhuber, H. Ita, H. Nieder, Y. Oz and C. Romelsberger, arXiv:hep-th/0303001.
51. R. Argurio, V. L. Campos, G. Ferretti and R. Heise, Phys. Rev. D67, 065005 (2003).
52. M. Aganagic, A. Klemm, M. Marino and C. Vafa, arXiv:hep-th/0211098; B. Feng, Nucl. Phys. B661, 113 (2003); R. Roiban, R. Tatar and J. Walcher, Nucl. Phys. B665, 211 (2003); C. I. Lazaroiu, J. High Energy Phys. 0305, 044 (2003); A. Klemm, K. Landsteiner, C. I. Lazaroiu and I. Runkel, J. High Energy Phys. 0305, 066 (2003); D. Berenstein, J. High Energy Phys. 0306, 019 (2003); N. Halmagyi and V. Yasnov, arXiv:hep-th/0305134; K. Landsteiner, C. I. Lazaroiu and R. Tatar, arXiv:hep-th/0306236; F. Ferrari, arXiv:hep-th/0309151.
53. M. Aganagic, A. Klemm, M. Marino and C. Vafa, arXiv:hep-th/0211098; B. Feng, Nucl. Phys. B661, 113 (2003); R. Roiban, R. Tatar and J. Walcher, Nucl. Phys. B665, 211 (2003); C. I. Lazaroiu, J. High Energy Phys. 0305, 044 (2003); A. Klemm, K. Landsteiner, C. I. Lazaroiu and I. Runkel, J. High Energy Phys. 0305, 066 (2003); D. Berenstein, J. High Energy Phys. 0306, 019 (2003); N. Halmagyi and V. Yasnov, arXiv:hep-th/0305134; K. Landsteiner, C. I. Lazaroiu and R. Tatar, arXiv:hep-th/0306236; F. Ferrari, arXiv:hep-th/0309151.
54. M. Aganagic, A. Klemm, M. Marino and C. Vafa, arXiv:hep-th/0211098; B. Feng, Nucl. Phys. B661, 113 (2003); R. Roiban, R. Tatar and J. Walcher, Nucl. Phys. B665, 211 (2003); C. I. Lazaroiu, J. High Energy Phys. 0305, 044 (2003); A. Klemm, K. Landsteiner, C. I. Lazaroiu and I. Runkel, J. High Energy Phys. 0305, 066 (2003); D. Berenstein, J. High Energy Phys. 0306, 019 (2003); N. Halmagyi and V. Yasnov, arXiv:hep-th/0305134; K. Landsteiner, C. I. Lazaroiu and R. Tatar, arXiv:hep-th/0306236; F. Ferrari, arXiv:hep-th/0309151.
55. M. Aganagic, A. Klemm, M. Marino and C. Vafa, arXiv:hep-th/0211098; B. Feng, Nucl. Phys. B661, 113 (2003); R. Roiban, R. Tatar and J. Walcher, Nucl. Phys. B665, 211 (2003); C. I. Lazaroiu, J. High Energy Phys. 0305, 044 (2003); A. Klemm, K. Landsteiner, C. I. Lazaroiu and I. Runkel, J. High Energy Phys. 0305, 066 (2003); D. Berenstein, J. High Energy Phys. 0306, 019 (2003); N. Halmagyi and V. Yasnov, arXiv:hep-th/0305134; K. Landsteiner, C. I. Lazaroiu and R. Tatar, arXiv:hep-th/0306236; F. Ferrari, arXiv:hep-th/0309151.
56. M. Aganagic, A. Klemm, M. Marino and C. Vafa, arXiv:hep-th/0211098; B. Feng, Nucl. Phys. B661, 113 (2003); R. Roiban, R. Tatar and J. Walcher, Nucl. Phys. B665, 211 (2003); C. I. Lazaroiu, J. High Energy Phys. 0305, 044 (2003); A. Klemm, K. Landsteiner, C. I. Lazaroiu and I. Runkel, J. High Energy Phys. 0305, 066 (2003); D. Berenstein, J. High Energy Phys. 0306, 019 (2003); N. Halmagyi and V. Yasnov, arXiv:hep-th/0305134; K. Landsteiner, C. I. Lazaroiu and R. Tatar, arXiv:hep-th/0306236; F. Ferrari, arXiv:hep-th/0309151.
57. S. G. Naculich, H. J. Schnitzer and N. Wyllard, Nucl. Phys. B651, 106 (2003); H. Itoyama and A. Morozov, Nucl. Phys. B65T, 53 (2003); S. G. Naculich, H. J. Schnitzer and N. Wyllard, J. High Energy Phys. 0301, 015 (2003); Y. Demasure and R. A. Janik, Nucl. Phys. B661, 153 (2003); M. Matone, Nucl. Phys. B656, 78 (2003); C. H. Ahn and S. K. Nam, Phys. Rev. D67, 105022 (2003); R. Abbaspur, A. Imaanpur and S. Parvizi, J. High Energy Phys. 0307, 043 (2003); S. G. Naculich, H. J. Schnitzer and N. Wyllard, arXiv:hep-th/0305263.
58. S. G. Naculich, H. J. Schnitzer and N. Wyllard, Nucl. Phys. B651, 106 (2003); H. Itoyama and A. Morozov, Nucl. Phys. B65T, 53 (2003); S. G. Naculich, H. J. Schnitzer and N. Wyllard, J. High Energy Phys. 0301, 015 (2003); Y. Demasure and R. A. Janik, Nucl. Phys. B661, 153 (2003); M. Matone, Nucl. Phys. B656, 78 (2003); C. H. Ahn and S. K. Nam, Phys. Rev. D67, 105022 (2003); R. Abbaspur, A. Imaanpur and S. Parvizi, J. High Energy Phys. 0307, 043 (2003); S. G. Naculich, H. J. Schnitzer and N. Wyllard, arXiv:hep-th/0305263.
59. S. G. Naculich, H. J. Schnitzer and N. Wyllard, Nucl. Phys. B651, 106 (2003); H. Itoyama and A. Morozov, Nucl. Phys. B65T, 53 (2003); S. G. Naculich, H. J. Schnitzer and N. Wyllard, J. High Energy Phys. 0301, 015 (2003); Y. Demasure and R. A. Janik, Nucl. Phys. B661, 153 (2003); M. Matone, Nucl. Phys. B656, 78 (2003); C. H. Ahn and S. K. Nam, Phys. Rev. D67, 105022 (2003); R. Abbaspur, A. Imaanpur and S. Parvizi, J. High Energy Phys. 0307, 043 (2003); S. G. Naculich, H. J. Schnitzer and N. Wyllard, arXiv:hep-th/0305263.
60. S. G. Naculich, H. J. Schnitzer and N. Wyllard, Nucl. Phys. B651, 106 (2003); H. Itoyama and A. Morozov, Nucl. Phys. B65T, 53 (2003); S. G. Naculich, H. J. Schnitzer and N. Wyllard, J. High Energy Phys. 0301, 015 (2003); Y. Demasure and R. A. Janik, Nucl. Phys. B661, 153 (2003); M. Matone, Nucl. Phys. B656, 78 (2003); C. H. Ahn and S. K. Nam, Phys. Rev. D67, 105022 (2003); R. Abbaspur, A. Imaanpur and S. Parvizi, J. High Energy Phys. 0307, 043 (2003); S. G. Naculich, H. J. Schnitzer and N. Wyllard, arXiv:hep-th/0305263.
61. S. G. Naculich, H. J. Schnitzer and N. Wyllard, Nucl. Phys. B651, 106 (2003); H. Itoyama and A. Morozov, Nucl. Phys. B65T, 53 (2003); S. G. Naculich, H. J. Schnitzer and N. Wyllard, J. High Energy Phys. 0301, 015 (2003); Y. Demasure and R. A. Janik, Nucl. Phys. B661, 153 (2003); M. Matone, Nucl. Phys. B656, 78 (2003); C. H. Ahn and S. K. Nam, Phys. Rev. D67, 105022 (2003); R. Abbaspur, A. Imaanpur and S. Parvizi, J. High Energy Phys. 0307, 043 (2003); S. G. Naculich, H. J. Schnitzer and N. Wyllard, arXiv:hep-th/0305263.
62. S. G. Naculich, H. J. Schnitzer and N. Wyllard, Nucl. Phys. B651, 106 (2003); H. Itoyama and A. Morozov, Nucl. Phys. B65T, 53 (2003); S. G. Naculich, H. J. Schnitzer and N. Wyllard, J. High Energy Phys. 0301, 015 (2003); Y. Demasure and R. A. Janik, Nucl. Phys. B661, 153 (2003); M. Matone, Nucl. Phys. B656, 78 (2003); C. H. Ahn and S. K. Nam, Phys. Rev. D67, 105022 (2003); R. Abbaspur, A. Imaanpur and S. Parvizi, J. High Energy Phys. 0307, 043 (2003); S. G. Naculich, H. J. Schnitzer and N. Wyllard, arXiv:hep-th/0305263.
63. S. G. Naculich, H. J. Schnitzer and N. Wyllard, Nucl. Phys. B651, 106 (2003); H. Itoyama and A. Morozov, Nucl. Phys. B65T, 53 (2003); S. G. Naculich, H. J. Schnitzer and N. Wyllard, J. High Energy Phys. 0301, 015 (2003); Y. Demasure and R. A. Janik, Nucl. Phys. B661, 153 (2003); M. Matone, Nucl. Phys. B656, 78 (2003); C. H. Ahn and S. K. Nam, Phys. Rev. D67, 105022 (2003); R. Abbaspur, A. Imaanpur and S. Parvizi, J. High Energy Phys. 0307, 043 (2003); S. G. Naculich, H. J. Schnitzer and N. Wyllard, arXiv:hep-th/0305263.
64. N. Dorey, T. J. Hollowood, S. P. Kumar and A. Sinkovics, J. High Energy Phys. 0211, 039 (2002); N. Dorey, T. J. Hollowood, S. P. Kumar and A. Sinkovics, J. High Energy Phys. 0211, 040 (2002); N. Dorey, T. J. Hollowood and S. P. Kumar, J. High Energy Phys. 0212, 003 (2002); T. J. Hollowood, J. High Energy Phys. 0304, 025 (2003); T. Mansson, J. High Energy Phys. 0303, 055 (2003); M. Petrini, A. Tomasiello and A. Zaffaroni, J. High Energy Phys. 0308, 004 (2003); T. Itoh, J. High Energy Phys. 0307, 005 (2003).
65. N. Dorey, T. J. Hollowood, S. P. Kumar and A. Sinkovics, J. High Energy Phys. 0211, 039 (2002); N. Dorey, T. J. Hollowood, S. P. Kumar and A. Sinkovics, J. High Energy Phys. 0211, 040 (2002); N. Dorey, T. J. Hollowood and S. P. Kumar, J. High Energy Phys. 0212, 003 (2002); T. J. Hollowood, J. High Energy Phys. 0304, 025 (2003); T. Mansson, J. High Energy Phys. 0303, 055 (2003); M. Petrini, A. Tomasiello and A. Zaffaroni, J. High Energy Phys. 0308, 004 (2003); T. Itoh, J. High Energy Phys. 0307, 005 (2003).
66. N. Dorey, T. J. Hollowood, S. P. Kumar and A. Sinkovics, J. High Energy Phys. 0211, 039 (2002); N. Dorey, T. J. Hollowood, S. P. Kumar and A. Sinkovics, J. High Energy Phys. 0211, 040 (2002); N. Dorey, T. J. Hollowood and S. P. Kumar, J. High Energy Phys. 0212, 003 (2002); T. J. Hollowood, J. High Energy Phys. 0304, 025 (2003); T. Mansson, J. High Energy Phys. 0303, 055 (2003); M. Petrini, A. Tomasiello and A. Zaffaroni, J. High Energy Phys. 0308, 004 (2003); T. Itoh, J. High Energy Phys. 0307, 005 (2003).
67. N. Dorey, T. J. Hollowood, S. P. Kumar and A. Sinkovics, J. High Energy Phys. 0211, 039 (2002); N. Dorey, T. J. Hollowood, S. P. Kumar and A. Sinkovics, J. High Energy Phys. 0211, 040 (2002); N. Dorey, T. J. Hollowood and S. P. Kumar, J. High Energy Phys. 0212, 003 (2002); T. J. Hollowood, J. High Energy Phys. 0304, 025 (2003); T. Mansson, J. High Energy Phys. 0303, 055 (2003); M. Petrini, A. Tomasiello and A. Zaffaroni, J. High Energy Phys. 0308, 004 (2003); T. Itoh, J. High Energy Phys. 0307, 005 (2003).
68. N. Dorey, T. J. Hollowood, S. P. Kumar and A. Sinkovics, J. High Energy Phys. 0211, 039 (2002); N. Dorey, T. J. Hollowood, S. P. Kumar and A. Sinkovics, J. High Energy Phys. 0211, 040 (2002); N. Dorey, T. J. Hollowood and S. P. Kumar, J. High Energy Phys. 0212, 003 (2002); T. J. Hollowood, J. High Energy Phys. 0304, 025 (2003); T. Mansson, J. High Energy Phys. 0303, 055 (2003); M. Petrini, A. Tomasiello and A. Zaffaroni, J. High Energy Phys. 0308, 004 (2003); T. Itoh, J. High Energy Phys. 0307, 005 (2003).
69. N. Dorey, T. J. Hollowood, S. P. Kumar and A. Sinkovics, J. High Energy Phys. 0211, 039 (2002); N. Dorey, T. J. Hollowood, S. P. Kumar and A. Sinkovics, J. High Energy Phys. 0211, 040 (2002); N. Dorey, T. J. Hollowood and S. P. Kumar, J. High Energy Phys. 0212, 003 (2002); T. J. Hollowood, J. High Energy Phys. 0304, 025 (2003); T. Mansson, J. High Energy Phys. 0303, 055 (2003); M. Petrini, A. Tomasiello and A. Zaffaroni, J. High Energy Phys. 0308, 004 (2003); T. Itoh, J. High Energy Phys. 0307, 005 (2003).
70. N. Dorey, T. J. Hollowood, S. P. Kumar and A. Sinkovics, J. High Energy Phys. 0211, 039 (2002); N. Dorey, T. J. Hollowood, S. P. Kumar and A. Sinkovics, J. High Energy Phys. 0211, 040 (2002); N. Dorey, T. J. Hollowood and S. P. Kumar, J. High Energy Phys. 0212, 003 (2002); T. J. Hollowood, J. High Energy Phys. 0304, 025 (2003); T. Mansson, J. High Energy Phys. 0303, 055 (2003); M. Petrini, A. Tomasiello and A. Zaffaroni, J. High Energy Phys. 0308, 004 (2003); T. Itoh, J. High Energy Phys. 0307, 005 (2003).
71. R. G. Leigh and M. J. Strassler, Nucl. Phys. B447, 95 (1995).
72. J. Polchinski and M. J. Strassler, arXiv:hep-th/0003136.
73. F. Ferrari, Phys. Rev. D67, 085013 (2003); F. Cachazo, N. Seiberg and E. Witten, J. High Energy Phys. 0302, 042 (2003); F. Ferrari, Phys. Lett. B557, 290 (2003); F. Cachazo, N. Seiberg and E. Witten, J. High Energy Phys. 0304, 018 (2003).
74. F. Ferrari, Phys. Rev. D67, 085013 (2003); F. Cachazo, N. Seiberg and E. Witten, J. High Energy Phys. 0302, 042 (2003); F. Ferrari, Phys. Lett. B557, 290 (2003); F. Cachazo, N. Seiberg and E. Witten, J. High Energy Phys. 0304, 018 (2003).
75. F. Ferrari, Phys. Rev. D67, 085013 (2003); F. Cachazo, N. Seiberg and E. Witten, J. High Energy Phys. 0302, 042 (2003); F. Ferrari, Phys. Lett. B557, 290 (2003); F. Cachazo, N. Seiberg and E. Witten, J. High Energy Phys. 0304, 018 (2003).
76. F. Ferrari, Phys. Rev. D67, 085013 (2003); F. Cachazo, N. Seiberg and E. Witten, J. High Energy Phys. 0302, 042 (2003); F. Ferrari, Phys. Lett. B557, 290 (2003); F. Cachazo, N. Seiberg and E. Witten, J. High Energy Phys. 0304, 018 (2003).
77. D. Berenstein, Phys. Lett. B552, 255 (2003); R. Gopakumar, J. High Energy Phys. 0305, 033 (2003); K. Ohta, J. High Energy Phys. 0302, 057 (2003); C. H. Ahn and Y. Ookouchi, J. High Energy Phys. 0303, 010 (2003); V. Balasubramanian, B. Feng, M. X. Huang and A. Naqvi, arXiv:hep-th/0303065; T. J. Hollowood, arXiv:hep-th/0305023; M. Matone and L. Mazzucato, J. High Energy Phys. 0307, 015 (2003); M. Matone and L. Mazzucato, arXiv:hep-th/0307130; P. Svrcek, arXiv:hep-th/0308037; M. Klein and S. J. Sin, arXiv:hep-th/0309044; H. Fuji and S. Mizoguchi, arXiv:hep-th/0309049; C. Ahn and Y. Ookouchi, arXiv:hep-th/ 0309156; M. Klein and S. J. Sin, arXiv:hep-th/0310078.
78. D. Berenstein, Phys. Lett. B552, 255 (2003); R. Gopakumar, J. High Energy Phys. 0305, 033 (2003); K. Ohta, J. High Energy Phys. 0302, 057 (2003); C. H. Ahn and Y. Ookouchi, J. High Energy Phys. 0303, 010 (2003); V. Balasubramanian, B. Feng, M. X. Huang and A. Naqvi, arXiv:hep-th/0303065; T. J. Hollowood, arXiv:hep-th/0305023; M. Matone and L. Mazzucato, J. High Energy Phys. 0307, 015 (2003); M. Matone and L. Mazzucato, arXiv:hep-th/0307130; P. Svrcek, arXiv:hep-th/0308037; M. Klein and S. J. Sin, arXiv:hep-th/0309044; H. Fuji and S. Mizoguchi, arXiv:hep-th/0309049; C. Ahn and Y. Ookouchi, arXiv:hep-th/ 0309156; M. Klein and S. J. Sin, arXiv:hep-th/0310078.
79. D. Berenstein, Phys. Lett. B552, 255 (2003); R. Gopakumar, J. High Energy Phys. 0305, 033 (2003); K. Ohta, J. High Energy Phys. 0302, 057 (2003); C. H. Ahn and Y. Ookouchi, J. High Energy Phys. 0303, 010 (2003); V. Balasubramanian, B. Feng, M. X. Huang and A. Naqvi, arXiv:hep-th/0303065; T. J. Hollowood, arXiv:hep-th/0305023; M. Matone and L. Mazzucato, J. High Energy Phys. 0307, 015 (2003); M. Matone and L. Mazzucato, arXiv:hep-th/0307130; P. Svrcek, arXiv:hep-th/0308037; M. Klein and S. J. Sin, arXiv:hep-th/0309044; H. Fuji and S. Mizoguchi, arXiv:hep-th/0309049; C. Ahn and Y. Ookouchi, arXiv:hep-th/ 0309156; M. Klein and S. J. Sin, arXiv:hep-th/0310078.
80. D. Berenstein, Phys. Lett. B552, 255 (2003); R. Gopakumar, J. High Energy Phys. 0305, 033 (2003); K. Ohta, J. High Energy Phys. 0302, 057 (2003); C. H. Ahn and Y. Ookouchi, J. High Energy Phys. 0303, 010 (2003); V. Balasubramanian, B. Feng, M. X. Huang and A. Naqvi, arXiv:hep-th/0303065; T. J. Hollowood, arXiv:hep-th/0305023; M. Matone and L. Mazzucato, J. High Energy Phys. 0307, 015 (2003); M. Matone and L. Mazzucato, arXiv:hep-th/0307130; P. Svrcek, arXiv:hep-th/0308037; M. Klein and S. J. Sin, arXiv:hep-th/0309044; H. Fuji and S. Mizoguchi, arXiv:hep-th/0309049; C. Ahn and Y. Ookouchi, arXiv:hep-th/ 0309156; M. Klein and S. J. Sin, arXiv:hep-th/0310078.
81. D. Berenstein, Phys. Lett. B552, 255 (2003); R. Gopakumar, J. High Energy Phys. 0305, 033 (2003); K. Ohta, J. High Energy Phys. 0302, 057 (2003); C. H. Ahn and Y. Ookouchi, J. High Energy Phys. 0303, 010 (2003); V. Balasubramanian, B. Feng, M. X. Huang and A. Naqvi, arXiv:hep-th/0303065; T. J. Hollowood, arXiv:hep-th/0305023; M. Matone and L. Mazzucato, J. High Energy Phys. 0307, 015 (2003); M. Matone and L. Mazzucato, arXiv:hep-th/0307130; P. Svrcek, arXiv:hep-th/0308037; M. Klein and S. J. Sin, arXiv:hep-th/0309044; H. Fuji and S. Mizoguchi, arXiv:hep-th/0309049; C. Ahn and Y. Ookouchi, arXiv:hep-th/ 0309156; M. Klein and S. J. Sin, arXiv:hep-th/0310078.
82. T. Eguchi and Y. Sugawara, J. High Energy Phys. 0305, 063 (2003); G. Bertoldi, J. High Energy Phys. 0306, 027 (2003); D. Shih, arXiv:hep-th/0308001; M. A. Ganjali, arXiv:hep-th/0309097.
83. T. Eguchi and Y. Sugawara, J. High Energy Phys. 0305, 063 (2003); G. Bertoldi, J. High Energy Phys. 0306, 027 (2003); D. Shih, arXiv:hep-th/0308001; M. A. Ganjali, arXiv:hep-th/0309097.
84. P. C. Argyres and M. R. Douglas, Nucl. Phys. B448, 93 (1995).
85. B. Feng and Y. H. He, Phys. Lett. B562, 339 (2003); B. Feng, arXiv:hep-th/0211202; B. Feng, Phys. Lett. B572, 68 (2003).
86. B. Feng and Y. H. He, Phys. Lett. B562, 339 (2003); B. Feng, arXiv:hep-th/0211202; B. Feng, Phys. Lett. B572, 68 (2003).
87. N. Seiberg, Nucl. Phys. B435, 129 (1995).
88. A. Klemm, M. Marino and S. Theisen, J. High Energy Phys. 0303, 051 (2003); R. Dijkgraaf, A. Sinkovics and M. Temurhan, arXiv:hep-th/0211241; H. Ooguri and C. Vafa, arXiv:hep-th/0302109; H. Ooguri and C. Vafa, arXiv:hep-th/0303063; J. R. David, E. Gava and K. S. Narain, arXiv:hep-th/0304227; L. F. Alday, M. Cirafici, J. R. David, E. Gava and K. S. Narain, arXiv:hep-th/0305217; L. F. Alday and M. Cirafici, J. High Energy Phys. 0309, 031 (2003); F. Ardalan and N. Sadooghi, arXiv:hep-th/0307155; H. Ita, H. Nieder and Y. Oz, arXiv:hep-th/0309041; R. Dijkgraaf, M. T. Grisaru, H. Ooguri, C. Vafa and D. Zanon, arXiv:hep-th/0310061.
89. A. Klemm, M. Marino and S. Theisen, J. High Energy Phys. 0303, 051 (2003); R. Dijkgraaf, A. Sinkovics and M. Temurhan, arXiv:hep-th/0211241; H. Ooguri and C. Vafa, arXiv:hep-th/0302109; H. Ooguri and C. Vafa, arXiv:hep-th/0303063; J. R. David, E. Gava and K. S. Narain, arXiv:hep-th/0304227; L. F. Alday, M. Cirafici, J. R. David, E. Gava and K. S. Narain, arXiv:hep-th/0305217; L. F. Alday and M. Cirafici, J. High Energy Phys. 0309, 031 (2003); F. Ardalan and N. Sadooghi, arXiv:hep-th/0307155; H. Ita, H. Nieder and Y. Oz, arXiv:hep-th/0309041; R. Dijkgraaf, M. T. Grisaru, H. Ooguri, C. Vafa and D. Zanon, arXiv:hep-th/0310061.
90. H. Fuji and Y. Ookouchi, J. High Energy Phys. 0212, 067 (2002); H. Ita, H. Nieder and Y. Oz, J. High Energy Phys. 0301, 018 (2003); S. K. Ashok, R. Corrado, N. Halmagyi, K. D. Kennaway and C. Romelsberger, Phys. Rev. D67, 086004 (2003); R. A. Janik and N. A. Obers, Phys. Lett. B553, 309 (2003); C. H. Ahn and S. Nam, Phys. Lett. B562, 141 (2003).
91. H. Fuji and Y. Ookouchi, J. High Energy Phys. 0212, 067 (2002); H. Ita, H. Nieder and Y. Oz, J. High Energy Phys. 0301, 018 (2003); S. K. Ashok, R. Corrado, N. Halmagyi, K. D. Kennaway and C. Romelsberger, Phys. Rev. D67, 086004 (2003); R. A. Janik and N. A. Obers, Phys. Lett. B553, 309 (2003); C. H. Ahn and S. Nam, Phys. Lett. B562, 141 (2003).
92. H. Fuji and Y. Ookouchi, J. High Energy Phys. 0212, 067 (2002); H. Ita, H. Nieder and Y. Oz, J. High Energy Phys. 0301, 018 (2003); S. K. Ashok, R. Corrado, N. Halmagyi, K. D. Kennaway and C. Romelsberger, Phys. Rev. D67, 086004 (2003); R. A. Janik and N. A. Obers, Phys. Lett. B553, 309 (2003); C. H. Ahn and S. Nam, Phys. Lett. B562, 141 (2003).
93. H. Fuji and Y. Ookouchi, J. High Energy Phys. 0212, 067 (2002); H. Ita, H. Nieder and Y. Oz, J. High Energy Phys. 0301, 018 (2003); S. K. Ashok, R. Corrado, N. Halmagyi, K. D. Kennaway and C. Romelsberger, Phys. Rev. D67, 086004 (2003); R. A. Janik and N. A. Obers, Phys. Lett. B553, 309 (2003); C. H. Ahn and S. Nam, Phys. Lett. B562, 141 (2003).
94. H. Fuji and Y. Ookouchi, J. High Energy Phys. 0212, 067 (2002); H. Ita, H. Nieder and Y. Oz, J. High Energy Phys. 0301, 018 (2003); S. K. Ashok, R. Corrado, N. Halmagyi, K. D. Kennaway and C. Romelsberger, Phys. Rev. D67, 086004 (2003); R. A. Janik and N. A. Obers, Phys. Lett. B553, 309 (2003); C. H. Ahn and S. Nam, Phys. Lett. B562, 141 (2003).
95. Y. Ookouchi, arXiv:hep-th/0211287; C. H. Ahn, Phys. Lett. B560, 116 (2003); Y. Ookouchi and Y. Watabiki, Mod. Phys. Lett. A18, 1113 (2003); C. H. Ahn, B. Feng and Y. Ookouchi, arXiv:hep-th/0306068; C. H. Ahn, B. Feng and Y. Ookouchi, arXiv:hep-th/0307190.
96. Y. Ookouchi, arXiv:hep-th/0211287; C. H. Ahn, Phys. Lett. B560, 116 (2003); Y. Ookouchi and Y. Watabiki, Mod. Phys. Lett. A18, 1113 (2003); C. H. Ahn, B. Feng and Y. Ookouchi, arXiv:hep-th/0306068; C. H. Ahn, B. Feng and Y. Ookouchi, arXiv:hep-th/0307190.
97. J. McGreevy, J. High Energy Phys. 0301, 047 (2003); H. Suzuki, J. High Energy Phys. 0303, 005 (2003); I. Bena and R. Roiban, Phys. Lett. B555, 117 (2003); Y. Demasure and R. A. Janik, Phys. Lett. B553, 105 (2003); Y. Tachikawa, arXiv:hep-th/0211189; I. Bena, S. de Haro and R. Roiban, Nucl. Phys. B664, 45 (2003); C. Hofman, arXiv:hep-th/0212095; B. Feng, Phys. Rev. D68, 025010 (2003); Y. Nakayama, J. High Energy Phys. 0308, 049 (2003); Y. Demasure, arXiv:hep-th/0307082; P. Merlatti, arXiv:hep-th/0307115; B. M. Gripaios and J. F. Wheater, arXiv:hep-th/0307176; R. A. Janik, arXiv:hep-th/0309084; B. M. Gripaios, arXiv:hepth/0311025.
98. J. McGreevy, J. High Energy Phys. 0301, 047 (2003); H. Suzuki, J. High Energy Phys. 0303, 005 (2003); I. Bena and R. Roiban, Phys. Lett. B555, 117 (2003); Y. Demasure and R. A. Janik, Phys. Lett. B553, 105 (2003); Y. Tachikawa, arXiv:hep-th/0211189; I. Bena, S. de Haro and R. Roiban, Nucl. Phys. B664, 45 (2003); C. Hofman, arXiv:hep-th/0212095; B. Feng, Phys. Rev. D68, 025010 (2003); Y. Nakayama, J. High Energy Phys. 0308, 049 (2003); Y. Demasure, arXiv:hep-th/0307082; P. Merlatti, arXiv:hep-th/0307115; B. M. Gripaios and J. F. Wheater, arXiv:hep-th/0307176; R. A. Janik, arXiv:hep-th/0309084; B. M. Gripaios, arXiv:hepth/0311025.
99. J. McGreevy, J. High Energy Phys. 0301, 047 (2003); H. Suzuki, J. High Energy Phys. 0303, 005 (2003); I. Bena and R. Roiban, Phys. Lett. B555, 117 (2003); Y. Demasure and R. A. Janik, Phys. Lett. B553, 105 (2003); Y. Tachikawa, arXiv:hep-th/0211189; I. Bena, S. de Haro and R. Roiban, Nucl. Phys. B664, 45 (2003); C. Hofman, arXiv:hep-th/0212095; B. Feng, Phys. Rev. D68, 025010 (2003); Y. Nakayama, J. High Energy Phys. 0308, 049 (2003); Y. Demasure, arXiv:hep-th/0307082; P. Merlatti, arXiv:hep-th/0307115; B. M. Gripaios and J. F. Wheater, arXiv:hep-th/0307176; R. A. Janik, arXiv:hep-th/0309084; B. M. Gripaios, arXiv:hepth/0311025.
100. J. McGreevy, J. High Energy Phys. 0301, 047 (2003); H. Suzuki, J. High Energy Phys. 0303, 005 (2003); I. Bena and R. Roiban, Phys. Lett. B555, 117 (2003); Y. Demasure and R. A. Janik, Phys. Lett. B553, 105 (2003); Y. Tachikawa, arXiv:hep-th/0211189; I. Bena, S. de Haro and R. Roiban, Nucl. Phys. B664, 45 (2003); C. Hofman, arXiv:hep-th/0212095; B. Feng, Phys. Rev. D68, 025010 (2003); Y. Nakayama, J. High Energy Phys. 0308, 049 (2003); Y. Demasure, arXiv:hep-th/0307082; P. Merlatti, arXiv:hep-th/0307115; B. M. Gripaios and J. F. Wheater, arXiv:hep-th/0307176; R. A. Janik, arXiv:hep-th/0309084; B. M. Gripaios, arXiv:hepth/0311025.
101. J. McGreevy, J. High Energy Phys. 0301, 047 (2003); H. Suzuki, J. High Energy Phys. 0303, 005 (2003); I. Bena and R. Roiban, Phys. Lett. B555, 117 (2003); Y. Demasure and R. A. Janik, Phys. Lett. B553, 105 (2003); Y. Tachikawa, arXiv:hep-th/0211189; I. Bena, S. de Haro and R. Roiban, Nucl. Phys. B664, 45 (2003); C. Hofman, arXiv:hep-th/0212095; B. Feng, Phys. Rev. D68, 025010 (2003); Y. Nakayama, J. High Energy Phys. 0308, 049 (2003); Y. Demasure, arXiv:hep-th/0307082; P. Merlatti, arXiv:hep-th/0307115; B. M. Gripaios and J. F. Wheater, arXiv:hep-th/0307176; R. A. Janik, arXiv:hep-th/0309084; B. M. Gripaios, arXiv:hepth/0311025.
102. J. McGreevy, J. High Energy Phys. 0301, 047 (2003); H. Suzuki, J. High Energy Phys. 0303, 005 (2003); I. Bena and R. Roiban, Phys. Lett. B555, 117 (2003); Y. Demasure and R. A. Janik, Phys. Lett. B553, 105 (2003); Y. Tachikawa, arXiv:hep-th/0211189; I. Bena, S. de Haro and R. Roiban, Nucl. Phys. B664, 45 (2003); C. Hofman, arXiv:hep-th/0212095; B. Feng, Phys. Rev. D68, 025010 (2003); Y. Nakayama, J. High Energy Phys. 0308, 049 (2003); Y. Demasure, arXiv:hep-th/0307082; P. Merlatti, arXiv:hep-th/0307115; B. M. Gripaios and J. F. Wheater, arXiv:hep-th/0307176; R. A. Janik, arXiv:hep-th/0309084; B. M. Gripaios, arXiv:hepth/0311025.
103. J. McGreevy, J. High Energy Phys. 0301, 047 (2003); H. Suzuki, J. High Energy Phys. 0303, 005 (2003); I. Bena and R. Roiban, Phys. Lett. B555, 117 (2003); Y. Demasure and R. A. Janik, Phys. Lett. B553, 105 (2003); Y. Tachikawa, arXiv:hep-th/0211189; I. Bena, S. de Haro and R. Roiban, Nucl. Phys. B664, 45 (2003); C. Hofman, arXiv:hep-th/0212095; B. Feng, Phys. Rev. D68, 025010 (2003); Y. Nakayama, J. High Energy Phys. 0308, 049 (2003); Y. Demasure, arXiv:hep-th/0307082; P. Merlatti, arXiv:hep-th/0307115; B. M. Gripaios and J. F. Wheater, arXiv:hep-th/0307176; R. A. Janik, arXiv:hep-th/0309084; B. M. Gripaios, arXiv:hepth/0311025.
104. N. Seiberg, Phys. Rev. D49, 6857 (1994).
105. R. Argurio, V. L. Campos, G. Ferretti and R. Heise, Phys. Lett. B553, 332 (2003); I. Bena, R. Roiban and R. Tatar, arXiv:hep-th/0211271; H. Suzuki, J. High Energy Phys. 0303, 036 (2003); I. Bena, H. Murayama, R. Roiban and R. Tatar, J. High Energy Phys. 0305, 049 (2003); S. Corley, arXiv:hep-th/0305096.
106. R. Argurio, V. L. Campos, G. Ferretti and R. Heise, Phys. Lett. B553, 332 (2003); I. Bena, R. Roiban and R. Tatar, arXiv:hep-th/0211271; H. Suzuki, J. High Energy Phys. 0303, 036 (2003); I. Bena, H. Murayama, R. Roiban and R. Tatar, J. High Energy Phys. 0305, 049 (2003); S. Corley, arXiv:hep-th/0305096.
107. R. Argurio, V. L. Campos, G. Ferretti and R. Heise, Phys. Lett. B553, 332 (2003); I. Bena, R. Roiban and R. Tatar, arXiv:hep-th/0211271; H. Suzuki, J. High Energy Phys. 0303, 036 (2003); I. Bena, H. Murayama, R. Roiban and R. Tatar, J. High Energy Phys. 0305, 049 (2003); S. Corley, arXiv:hep-th/0305096.
108. T. J. Hollowood and T. Kingaby, J. High Energy Phys. 0301, 005 (2003); R. Dijkgraaf, A. Neitzke and C. Vafa, arXiv:hep-th/0211194; S. Seki, Nucl. Phys. B661, 257 (2003); S. G. Naculich, H. J. Schnitzer and N. Wyllard, J. High Energy Phys. 0308, 021 (2003); R. Casero and E. Trincherini, arXiv:hep-th/0304123; R. Casero and E. Trincherini, arXiv:hep-th/0307054.
109. T. J. Hollowood and T. Kingaby, J. High Energy Phys. 0301, 005 (2003); R. Dijkgraaf, A. Neitzke and C. Vafa, arXiv:hep-th/0211194; S. Seki, Nucl. Phys. B661, 257 (2003); S. G. Naculich, H. J. Schnitzer and N. Wyllard, J. High Energy Phys. 0308, 021 (2003); R. Casero and E. Trincherini, arXiv:hep-th/0304123; R. Casero and E. Trincherini, arXiv:hep-th/0307054.
110. T. J. Hollowood and T. Kingaby, J. High Energy Phys. 0301, 005 (2003); R. Dijkgraaf, A. Neitzke and C. Vafa, arXiv:hep-th/0211194; S. Seki, Nucl. Phys. B661, 257 (2003); S. G. Naculich, H. J. Schnitzer and N. Wyllard, J. High Energy Phys. 0308, 021 (2003); R. Casero and E. Trincherini, arXiv:hep-th/0304123; R. Casero and E. Trincherini, arXiv:hep-th/0307054.
111. V. Balasubramanian, J. de Boer, B. Feng, Y. H. He, M. X. Huang, V. Jejjala and A. Naqvi, arXiv:hep-th/0212082; M. Alishahiha and H. Yavartanoo, arXiv:hep-th/0303074.
112. I. Affleck, M. Dine and N. Seiberg, Phys. Lett. B137, 187 (1984); I. Affleck, M. Dine and N. Seiberg, Phys. Rev. Lett. 52, 1677 (1984).
113. I. Affleck, M. Dine and N. Seiberg, Phys. Lett. B137, 187 (1984); I. Affleck, M. Dine and N. Seiberg, Phys. Rev. Lett. 52, 1677 (1984).
114. R. Argurio, G. Ferretti and R. Heise, J. High Energy Phys. 0307, 044 (2003); K. Landsteiner, C. I. Lazaroiu and R. Tatar, arXiv:hep-th/0307182; K. Landsteiner, C. I. Lazaroiu and R. Tatar, arXiv:hep-th/0310052.
115. Y. Tachikawa, arXiv:hep-th/0211274.
116. J. Ambjorn and R. A. Janik, Phys. Lett. B569, 81 (2003).
117. L. Chekhov and A. Mironov, Phys. Lett. B552, 293 (2003); V. A. Kazakov and A. Marshakov, J. Phys. A36, 3107 (2003); H. Itoyama and A. Morozov, Phys. Lett. B555, 287 (2003); H. Itoyama and A. Morozov, Prog. Theor. Phys. 109, 433 (2003); L. Chekhov, A. Marshakov, A. Mironov and D. Vasiliev, Phys. Lett. B562, 323 (2003); A. Dymarsky and V. Pestun, Phys. Rev. D67, 125001 (2003); H. Itoyama and A. Morozov, arXiv:hep-th/0301136; A. Mironov, Fortsch. Phys. 51, 781 (2003); S. Aoyama and T. Masuda, arXiv:hep-th/0309232; A. Alexandrov, A. Mironov and A. Morozov, arXiv:hep-th/0310113.
118. L. Chekhov and A. Mironov, Phys. Lett. B552, 293 (2003); V. A. Kazakov and A. Marshakov, J. Phys. A36, 3107 (2003); H. Itoyama and A. Morozov, Phys. Lett. B555, 287 (2003); H. Itoyama and A. Morozov, Prog. Theor. Phys. 109, 433 (2003); L. Chekhov, A. Marshakov, A. Mironov and D. Vasiliev, Phys. Lett. B562, 323 (2003); A. Dymarsky and V. Pestun, Phys. Rev. D67, 125001 (2003); H. Itoyama and A. Morozov, arXiv:hep-th/0301136; A. Mironov, Fortsch. Phys. 51, 781 (2003); S. Aoyama and T. Masuda, arXiv:hep-th/0309232; A. Alexandrov, A. Mironov and A. Morozov, arXiv:hep-th/0310113.
119. L. Chekhov and A. Mironov, Phys. Lett. B552, 293 (2003); V. A. Kazakov and A. Marshakov, J. Phys. A36, 3107 (2003); H. Itoyama and A. Morozov, Phys. Lett. B555, 287 (2003); H. Itoyama and A. Morozov, Prog. Theor. Phys. 109, 433 (2003); L. Chekhov, A. Marshakov, A. Mironov and D. Vasiliev, Phys. Lett. B562, 323 (2003); A. Dymarsky and V. Pestun, Phys. Rev. D67, 125001 (2003); H. Itoyama and A. Morozov, arXiv:hep-th/0301136; A. Mironov, Fortsch. Phys. 51, 781 (2003); S. Aoyama and T. Masuda, arXiv:hep-th/0309232; A. Alexandrov, A. Mironov and A. Morozov, arXiv:hep-th/0310113.
120. L. Chekhov and A. Mironov, Phys. Lett. B552, 293 (2003); V. A. Kazakov and A. Marshakov, J. Phys. A36, 3107 (2003); H. Itoyama and A. Morozov, Phys. Lett. B555, 287 (2003); H. Itoyama and A. Morozov, Prog. Theor. Phys. 109, 433 (2003); L. Chekhov, A. Marshakov, A. Mironov and D. Vasiliev, Phys. Lett. B562, 323 (2003); A. Dymarsky and V. Pestun, Phys. Rev. D67, 125001 (2003); H. Itoyama and A. Morozov, arXiv:hep-th/0301136; A. Mironov, Fortsch. Phys. 51, 781 (2003); S. Aoyama and T. Masuda, arXiv:hep-th/0309232; A. Alexandrov, A. Mironov and A. Morozov, arXiv:hep-th/0310113.
121. L. Chekhov and A. Mironov, Phys. Lett. B552, 293 (2003); V. A. Kazakov and A. Marshakov, J. Phys. A36, 3107 (2003); H. Itoyama and A. Morozov, Phys. Lett. B555, 287 (2003); H. Itoyama and A. Morozov, Prog. Theor. Phys. 109, 433 (2003); L. Chekhov, A. Marshakov, A. Mironov and D. Vasiliev, Phys. Lett. B562, 323 (2003); A. Dymarsky and V. Pestun, Phys. Rev. D67, 125001 (2003); H. Itoyama and A. Morozov, arXiv:hep-th/0301136; A. Mironov, Fortsch. Phys. 51, 781 (2003); S. Aoyama and T. Masuda, arXiv:hep-th/0309232; A. Alexandrov, A. Mironov and A. Morozov, arXiv:hep-th/0310113.
122. L. Chekhov and A. Mironov, Phys. Lett. B552, 293 (2003); V. A. Kazakov and A. Marshakov, J. Phys. A36, 3107 (2003); H. Itoyama and A. Morozov, Phys. Lett. B555, 287 (2003); H. Itoyama and A. Morozov, Prog. Theor. Phys. 109, 433 (2003); L. Chekhov, A. Marshakov, A. Mironov and D. Vasiliev, Phys. Lett. B562, 323 (2003); A. Dymarsky and V. Pestun, Phys. Rev. D67, 125001 (2003); H. Itoyama and A. Morozov, arXiv:hep-th/0301136; A. Mironov, Fortsch. Phys. 51, 781 (2003); S. Aoyama and T. Masuda, arXiv:hep-th/0309232; A. Alexandrov, A. Mironov and A. Morozov, arXiv:hep-th/0310113.
123. L. Chekhov and A. Mironov, Phys. Lett. B552, 293 (2003); V. A. Kazakov and A. Marshakov, J. Phys. A36, 3107 (2003); H. Itoyama and A. Morozov, Phys. Lett. B555, 287 (2003); H. Itoyama and A. Morozov, Prog. Theor. Phys. 109, 433 (2003); L. Chekhov, A. Marshakov, A. Mironov and D. Vasiliev, Phys. Lett. B562, 323 (2003); A. Dymarsky and V. Pestun, Phys. Rev. D67, 125001 (2003); H. Itoyama and A. Morozov, arXiv:hep-th/0301136; A. Mironov, Fortsch. Phys. 51, 781 (2003); S. Aoyama and T. Masuda, arXiv:hep-th/0309232; A. Alexandrov, A. Mironov and A. Morozov, arXiv:hep-th/0310113.
124. R. Dijkgraaf, S. Gukov, V. A. Kazakov and C. Vafa, Phys. Rev. D68, 045007 (2003).
125. H. Kawai, T. Kuroki and T. Morita, Nucl. Phys. B664, 185 (2003); H. Itoyama and H. Kanno, arXiv:hep-th/0304184.
126. R. Boels, J. de Boer, R. Duivenvoorden and J. Wijnhout, arXiv:hep-th/0304061; M. Alishahiha and A. E. Mosaffa, J. High Energy Phys. 0305, 064 (2003); R. Boels, J. de Boer, R. Duivenvoorden and J. Wijnhout, arXiv:hep-th/0305189; M. Alishahiha, J. de Boer, A. E. Mosaffa and J. Wijnhout, arXiv:hep-th/0308120; A. Ritz, arXiv:hep-th/0308144.
127. R. Dijkgraaf and C. Vafa, arXiv:hep-th/0302011; T. J. Hollowood, J. High Energy Phys. 0303, 039 (2003); I. Bena and R. Roiban, arXiv:hep-th/0308013; T. J. Hollowood, A. Iqbal and C. Vafa, arXiv:hep-th/0310272; S. Ganguli, O. J. Ganor and J. A. Gill, arXiv:hep-th/0311042.