Note on Seiberg duality in matrix model

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Volumn 572, Issue 1-2, 2003, Pages 68-74

  Feng, Bo ^a  

^a INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

Matrix model; Seiberg duality

Indexed keywords

ARTICLE; ELECTRICITY; MAGNETISM; MATHEMATICAL ANALYSIS; MODEL; THEORY;

EID: 17544402369     PISSN: 03702693     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physletb.2003.07.080     Document Type: Article

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37. N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209099; N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209089; N. Dorey, T.J. Hollowood, S.P. Kumar, hep-th/0210239; F. Ferrari, hep-th/0210135; R. Dijkgraaf, S. Gukov, V.A. Kazakov, C. Vafa, hep-th/0210238; R. Argurio, V.L. Campos, G. Ferretti, R. Heise, hep-th/0210291; J. McGreevy, hep-th/0211009; H. Suzuki, hep-th/0211052; I. Bena, R. Roiban, hep-th/0211075; R. Gopakumar, hep-th/0211100; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211123; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211254; R. Dijkgraaf, A. Neitzke, C. Vafa, hep-th/0211194; H. Itoyama, A. Morozov, hep-th/0211259; H. Itoyama, A. Morozov, hep-th/0212032; T.J. Hollowood, hep-th/0212065; S. Seki, hep-th/0212079; I. Bena, S. de Haro, R. Roiban, hep-th/0212083; C. Hofman, hep-th/0212095; Y. Demasure, R.A. Janik, hep-th/0212212; T. Mansson, hep-th/0302077; C.I. Lazaroiu, hep-th/0303008; D. Berenstein, hep-th/0210183; D. Berenstein, hep-th/0303033.
38. N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209099; N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209089; N. Dorey, T.J. Hollowood, S.P. Kumar, hep-th/0210239; F. Ferrari, hep-th/0210135; R. Dijkgraaf, S. Gukov, V.A. Kazakov, C. Vafa, hep-th/0210238; R. Argurio, V.L. Campos, G. Ferretti, R. Heise, hep-th/0210291; J. McGreevy, hep-th/0211009; H. Suzuki, hep-th/0211052; I. Bena, R. Roiban, hep-th/0211075; R. Gopakumar, hep-th/0211100; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211123; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211254; R. Dijkgraaf, A. Neitzke, C. Vafa, hep-th/0211194; H. Itoyama, A. Morozov, hep-th/0211259; H. Itoyama, A. Morozov, hep-th/0212032; T.J. Hollowood, hep-th/0212065; S. Seki, hep-th/0212079; I. Bena, S. de Haro, R. Roiban, hep-th/0212083; C. Hofman, hep-th/0212095; Y. Demasure, R.A. Janik, hep-th/0212212; T. Mansson, hep-th/0302077; C.I. Lazaroiu, hep-th/0303008; D. Berenstein, hep-th/0210183; D. Berenstein, hep-th/0303033.
39. N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209099; N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209089; N. Dorey, T.J. Hollowood, S.P. Kumar, hep-th/0210239; F. Ferrari, hep-th/0210135; R. Dijkgraaf, S. Gukov, V.A. Kazakov, C. Vafa, hep-th/0210238; R. Argurio, V.L. Campos, G. Ferretti, R. Heise, hep-th/0210291; J. McGreevy, hep-th/0211009; H. Suzuki, hep-th/0211052; I. Bena, R. Roiban, hep-th/0211075; R. Gopakumar, hep-th/0211100; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211123; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211254; R. Dijkgraaf, A. Neitzke, C. Vafa, hep-th/0211194; H. Itoyama, A. Morozov, hep-th/0211259; H. Itoyama, A. Morozov, hep-th/0212032; T.J. Hollowood, hep-th/0212065; S. Seki, hep-th/0212079; I. Bena, S. de Haro, R. Roiban, hep-th/0212083; C. Hofman, hep-th/0212095; Y. Demasure, R.A. Janik, hep-th/0212212; T. Mansson, hep-th/0302077; C.I. Lazaroiu, hep-th/0303008; D. Berenstein, hep-th/0210183; D. Berenstein, hep-th/0303033.
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42. N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209099; N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209089; N. Dorey, T.J. Hollowood, S.P. Kumar, hep-th/0210239; F. Ferrari, hep-th/0210135; R. Dijkgraaf, S. Gukov, V.A. Kazakov, C. Vafa, hep-th/0210238; R. Argurio, V.L. Campos, G. Ferretti, R. Heise, hep-th/0210291; J. McGreevy, hep-th/0211009; H. Suzuki, hep-th/0211052; I. Bena, R. Roiban, hep-th/0211075; R. Gopakumar, hep-th/0211100; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211123; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211254; R. Dijkgraaf, A. Neitzke, C. Vafa, hep-th/0211194; H. Itoyama, A. Morozov, hep-th/0211259; H. Itoyama, A. Morozov, hep-th/0212032; T.J. Hollowood, hep-th/0212065; S. Seki, hep-th/0212079; I. Bena, S. de Haro, R. Roiban, hep-th/0212083; C. Hofman, hep-th/0212095; Y. Demasure, R.A. Janik, hep-th/0212212; T. Mansson, hep-th/0302077; C.I. Lazaroiu, hep-th/0303008; D. Berenstein, hep-th/0210183; D. Berenstein, hep-th/0303033.
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44. N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209099; N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209089; N. Dorey, T.J. Hollowood, S.P. Kumar, hep-th/0210239; F. Ferrari, hep-th/0210135; R. Dijkgraaf, S. Gukov, V.A. Kazakov, C. Vafa, hep-th/0210238; R. Argurio, V.L. Campos, G. Ferretti, R. Heise, hep-th/0210291; J. McGreevy, hep-th/0211009; H. Suzuki, hep-th/0211052; I. Bena, R. Roiban, hep-th/0211075; R. Gopakumar, hep-th/0211100; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211123; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211254; R. Dijkgraaf, A. Neitzke, C. Vafa, hep-th/0211194; H. Itoyama, A. Morozov, hep-th/0211259; H. Itoyama, A. Morozov, hep-th/0212032; T.J. Hollowood, hep-th/0212065; S. Seki, hep-th/0212079; I. Bena, S. de Haro, R. Roiban, hep-th/0212083; C. Hofman, hep-th/0212095; Y. Demasure, R.A. Janik, hep-th/0212212; T. Mansson, hep-th/0302077; C.I. Lazaroiu, hep-th/0303008; D. Berenstein, hep-th/0210183; D. Berenstein, hep-th/0303033.
45. N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209099; N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209089; N. Dorey, T.J. Hollowood, S.P. Kumar, hep-th/0210239; F. Ferrari, hep-th/0210135; R. Dijkgraaf, S. Gukov, V.A. Kazakov, C. Vafa, hep-th/0210238; R. Argurio, V.L. Campos, G. Ferretti, R. Heise, hep-th/0210291; J. McGreevy, hep-th/0211009; H. Suzuki, hep-th/0211052; I. Bena, R. Roiban, hep-th/0211075; R. Gopakumar, hep-th/0211100; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211123; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211254; R. Dijkgraaf, A. Neitzke, C. Vafa, hep-th/0211194; H. Itoyama, A. Morozov, hep-th/0211259; H. Itoyama, A. Morozov, hep-th/0212032; T.J. Hollowood, hep-th/0212065; S. Seki, hep-th/0212079; I. Bena, S. de Haro, R. Roiban, hep-th/0212083; C. Hofman, hep-th/0212095; Y. Demasure, R.A. Janik, hep-th/0212212; T. Mansson, hep-th/0302077; C.I. Lazaroiu, hep-th/0303008; D. Berenstein, hep-th/0210183; D. Berenstein, hep-th/0303033.
46. N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209099; N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209089; N. Dorey, T.J. Hollowood, S.P. Kumar, hep-th/0210239; F. Ferrari, hep-th/0210135; R. Dijkgraaf, S. Gukov, V.A. Kazakov, C. Vafa, hep-th/0210238; R. Argurio, V.L. Campos, G. Ferretti, R. Heise, hep-th/0210291; J. McGreevy, hep-th/0211009; H. Suzuki, hep-th/0211052; I. Bena, R. Roiban, hep-th/0211075; R. Gopakumar, hep-th/0211100; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211123; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211254; R. Dijkgraaf, A. Neitzke, C. Vafa, hep-th/0211194; H. Itoyama, A. Morozov, hep-th/0211259; H. Itoyama, A. Morozov, hep-th/0212032; T.J. Hollowood, hep-th/0212065; S. Seki, hep-th/0212079; I. Bena, S. de Haro, R. Roiban, hep-th/0212083; C. Hofman, hep-th/0212095; Y. Demasure, R.A. Janik, hep-th/0212212; T. Mansson, hep-th/0302077; C.I. Lazaroiu, hep-th/0303008; D. Berenstein, hep-th/0210183; D. Berenstein, hep-th/0303033.
47. N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209099; N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209089; N. Dorey, T.J. Hollowood, S.P. Kumar, hep-th/0210239; F. Ferrari, hep-th/0210135; R. Dijkgraaf, S. Gukov, V.A. Kazakov, C. Vafa, hep-th/0210238; R. Argurio, V.L. Campos, G. Ferretti, R. Heise, hep-th/0210291; J. McGreevy, hep-th/0211009; H. Suzuki, hep-th/0211052; I. Bena, R. Roiban, hep-th/0211075; R. Gopakumar, hep-th/0211100; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211123; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211254; R. Dijkgraaf, A. Neitzke, C. Vafa, hep-th/0211194; H. Itoyama, A. Morozov, hep-th/0211259; H. Itoyama, A. Morozov, hep-th/0212032; T.J. Hollowood, hep-th/0212065; S. Seki, hep-th/0212079; I. Bena, S. de Haro, R. Roiban, hep-th/0212083; C. Hofman, hep-th/0212095; Y. Demasure, R.A. Janik, hep-th/0212212; T. Mansson, hep-th/0302077; C.I. Lazaroiu, hep-th/0303008; D. Berenstein, hep-th/0210183; D. Berenstein, hep-th/0303033.
48. N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209099; N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209089; N. Dorey, T.J. Hollowood, S.P. Kumar, hep-th/0210239; F. Ferrari, hep-th/0210135; R. Dijkgraaf, S. Gukov, V.A. Kazakov, C. Vafa, hep-th/0210238; R. Argurio, V.L. Campos, G. Ferretti, R. Heise, hep-th/0210291; J. McGreevy, hep-th/0211009; H. Suzuki, hep-th/0211052; I. Bena, R. Roiban, hep-th/0211075; R. Gopakumar, hep-th/0211100; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211123; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211254; R. Dijkgraaf, A. Neitzke, C. Vafa, hep-th/0211194; H. Itoyama, A. Morozov, hep-th/0211259; H. Itoyama, A. Morozov, hep-th/0212032; T.J. Hollowood, hep-th/0212065; S. Seki, hep-th/0212079; I. Bena, S. de Haro, R. Roiban, hep-th/0212083; C. Hofman, hep-th/0212095; Y. Demasure, R.A. Janik, hep-th/0212212; T. Mansson, hep-th/0302077; C.I. Lazaroiu, hep-th/0303008; D. Berenstein, hep-th/0210183; D. Berenstein, hep-th/0303033.
49. N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209099; N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209089; N. Dorey, T.J. Hollowood, S.P. Kumar, hep-th/0210239; F. Ferrari, hep-th/0210135; R. Dijkgraaf, S. Gukov, V.A. Kazakov, C. Vafa, hep-th/0210238; R. Argurio, V.L. Campos, G. Ferretti, R. Heise, hep-th/0210291; J. McGreevy, hep-th/0211009; H. Suzuki, hep-th/0211052; I. Bena, R. Roiban, hep-th/0211075; R. Gopakumar, hep-th/0211100; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211123; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211254; R. Dijkgraaf, A. Neitzke, C. Vafa, hep-th/0211194; H. Itoyama, A. Morozov, hep-th/0211259; H. Itoyama, A. Morozov, hep-th/0212032; T.J. Hollowood, hep-th/0212065; S. Seki, hep-th/0212079; I. Bena, S. de Haro, R. Roiban, hep-th/0212083; C. Hofman, hep-th/0212095; Y. Demasure, R.A. Janik, hep-th/0212212; T. Mansson, hep-th/0302077; C.I. Lazaroiu, hep-th/0303008; D. Berenstein, hep-th/0210183; D. Berenstein, hep-th/0303033.
50. N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209099; N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209089; N. Dorey, T.J. Hollowood, S.P. Kumar, hep-th/0210239; F. Ferrari, hep-th/0210135; R. Dijkgraaf, S. Gukov, V.A. Kazakov, C. Vafa, hep-th/0210238; R. Argurio, V.L. Campos, G. Ferretti, R. Heise, hep-th/0210291; J. McGreevy, hep-th/0211009; H. Suzuki, hep-th/0211052; I. Bena, R. Roiban, hep-th/0211075; R. Gopakumar, hep-th/0211100; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211123; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211254; R. Dijkgraaf, A. Neitzke, C. Vafa, hep-th/0211194; H. Itoyama, A. Morozov, hep-th/0211259; H. Itoyama, A. Morozov, hep-th/0212032; T.J. Hollowood, hep-th/0212065; S. Seki, hep-th/0212079; I. Bena, S. de Haro, R. Roiban, hep-th/0212083; C. Hofman, hep-th/0212095; Y. Demasure, R.A. Janik, hep-th/0212212; T. Mansson, hep-th/0302077; C.I. Lazaroiu, hep-th/0303008; D. Berenstein, hep-th/0210183; D. Berenstein, hep-th/0303033.
51. N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209099; N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209089; N. Dorey, T.J. Hollowood, S.P. Kumar, hep-th/0210239; F. Ferrari, hep-th/0210135; R. Dijkgraaf, S. Gukov, V.A. Kazakov, C. Vafa, hep-th/0210238; R. Argurio, V.L. Campos, G. Ferretti, R. Heise, hep-th/0210291; J. McGreevy, hep-th/0211009; H. Suzuki, hep-th/0211052; I. Bena, R. Roiban, hep-th/0211075; R. Gopakumar, hep-th/0211100; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211123; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211254; R. Dijkgraaf, A. Neitzke, C. Vafa, hep-th/0211194; H. Itoyama, A. Morozov, hep-th/0211259; H. Itoyama, A. Morozov, hep-th/0212032; T.J. Hollowood, hep-th/0212065; S. Seki, hep-th/0212079; I. Bena, S. de Haro, R. Roiban, hep-th/0212083; C. Hofman, hep-th/0212095; Y. Demasure, R.A. Janik, hep-th/0212212; T. Mansson, hep-th/0302077; C.I. Lazaroiu, hep-th/0303008; D. Berenstein, hep-th/0210183; D. Berenstein, hep-th/0303033.
52. N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209099; N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209089; N. Dorey, T.J. Hollowood, S.P. Kumar, hep-th/0210239; F. Ferrari, hep-th/0210135; R. Dijkgraaf, S. Gukov, V.A. Kazakov, C. Vafa, hep-th/0210238; R. Argurio, V.L. Campos, G. Ferretti, R. Heise, hep-th/0210291; J. McGreevy, hep-th/0211009; H. Suzuki, hep-th/0211052; I. Bena, R. Roiban, hep-th/0211075; R. Gopakumar, hep-th/0211100; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211123; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211254; R. Dijkgraaf, A. Neitzke, C. Vafa, hep-th/0211194; H. Itoyama, A. Morozov, hep-th/0211259; H. Itoyama, A. Morozov, hep-th/0212032; T.J. Hollowood, hep-th/0212065; S. Seki, hep-th/0212079; I. Bena, S. de Haro, R. Roiban, hep-th/0212083; C. Hofman, hep-th/0212095; Y. Demasure, R.A. Janik, hep-th/0212212; T. Mansson, hep-th/0302077; C.I. Lazaroiu, hep-th/0303008; D. Berenstein, hep-th/0210183; D. Berenstein, hep-th/0303033.
53. N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209099; N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209089; N. Dorey, T.J. Hollowood, S.P. Kumar, hep-th/0210239; F. Ferrari, hep-th/0210135; R. Dijkgraaf, S. Gukov, V.A. Kazakov, C. Vafa, hep-th/0210238; R. Argurio, V.L. Campos, G. Ferretti, R. Heise, hep-th/0210291; J. McGreevy, hep-th/0211009; H. Suzuki, hep-th/0211052; I. Bena, R. Roiban, hep-th/0211075; R. Gopakumar, hep-th/0211100; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211123; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211254; R. Dijkgraaf, A. Neitzke, C. Vafa, hep-th/0211194; H. Itoyama, A. Morozov, hep-th/0211259; H. Itoyama, A. Morozov, hep-th/0212032; T.J. Hollowood, hep-th/0212065; S. Seki, hep-th/0212079; I. Bena, S. de Haro, R. Roiban, hep-th/0212083; C. Hofman, hep-th/0212095; Y. Demasure, R.A. Janik, hep-th/0212212; T. Mansson, hep-th/0302077; C.I. Lazaroiu, hep-th/0303008; D. Berenstein, hep-th/0210183; D. Berenstein, hep-th/0303033.
54. N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209099; N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209089; N. Dorey, T.J. Hollowood, S.P. Kumar, hep-th/0210239; F. Ferrari, hep-th/0210135; R. Dijkgraaf, S. Gukov, V.A. Kazakov, C. Vafa, hep-th/0210238; R. Argurio, V.L. Campos, G. Ferretti, R. Heise, hep-th/0210291; J. McGreevy, hep-th/0211009; H. Suzuki, hep-th/0211052; I. Bena, R. Roiban, hep-th/0211075; R. Gopakumar, hep-th/0211100; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211123; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211254; R. Dijkgraaf, A. Neitzke, C. Vafa, hep-th/0211194; H. Itoyama, A. Morozov, hep-th/0211259; H. Itoyama, A. Morozov, hep-th/0212032; T.J. Hollowood, hep-th/0212065; S. Seki, hep-th/0212079; I. Bena, S. de Haro, R. Roiban, hep-th/0212083; C. Hofman, hep-th/0212095; Y. Demasure, R.A. Janik, hep-th/0212212; T. Mansson, hep-th/0302077; C.I. Lazaroiu, hep-th/0303008; D. Berenstein, hep-th/0210183; D. Berenstein, hep-th/0303033.
55. N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209099; N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209089; N. Dorey, T.J. Hollowood, S.P. Kumar, hep-th/0210239; F. Ferrari, hep-th/0210135; R. Dijkgraaf, S. Gukov, V.A. Kazakov, C. Vafa, hep-th/0210238; R. Argurio, V.L. Campos, G. Ferretti, R. Heise, hep-th/0210291; J. McGreevy, hep-th/0211009; H. Suzuki, hep-th/0211052; I. Bena, R. Roiban, hep-th/0211075; R. Gopakumar, hep-th/0211100; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211123; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211254; R. Dijkgraaf, A. Neitzke, C. Vafa, hep-th/0211194; H. Itoyama, A. Morozov, hep-th/0211259; H. Itoyama, A. Morozov, hep-th/0212032; T.J. Hollowood, hep-th/0212065; S. Seki, hep-th/0212079; I. Bena, S. de Haro, R. Roiban, hep-th/0212083; C. Hofman, hep-th/0212095; Y. Demasure, R.A. Janik, hep-th/0212212; T. Mansson, hep-th/0302077; C.I. Lazaroiu, hep-th/0303008; D. Berenstein, hep-th/0210183; D. Berenstein, hep-th/0303033.
56. N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209099; N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209089; N. Dorey, T.J. Hollowood, S.P. Kumar, hep-th/0210239; F. Ferrari, hep-th/0210135; R. Dijkgraaf, S. Gukov, V.A. Kazakov, C. Vafa, hep-th/0210238; R. Argurio, V.L. Campos, G. Ferretti, R. Heise, hep-th/0210291; J. McGreevy, hep-th/0211009; H. Suzuki, hep-th/0211052; I. Bena, R. Roiban, hep-th/0211075; R. Gopakumar, hep-th/0211100; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211123; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211254; R. Dijkgraaf, A. Neitzke, C. Vafa, hep-th/0211194; H. Itoyama, A. Morozov, hep-th/0211259; H. Itoyama, A. Morozov, hep-th/0212032; T.J. Hollowood, hep-th/0212065; S. Seki, hep-th/0212079; I. Bena, S. de Haro, R. Roiban, hep-th/0212083; C. Hofman, hep-th/0212095; Y. Demasure, R.A. Janik, hep-th/0212212; T. Mansson, hep-th/0302077; C.I. Lazaroiu, hep-th/0303008; D. Berenstein, hep-th/0210183; D. Berenstein, hep-th/0303033.
57. N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209099; N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209089; N. Dorey, T.J. Hollowood, S.P. Kumar, hep-th/0210239; F. Ferrari, hep-th/0210135; R. Dijkgraaf, S. Gukov, V.A. Kazakov, C. Vafa, hep-th/0210238; R. Argurio, V.L. Campos, G. Ferretti, R. Heise, hep-th/0210291; J. McGreevy, hep-th/0211009; H. Suzuki, hep-th/0211052; I. Bena, R. Roiban, hep-th/0211075; R. Gopakumar, hep-th/0211100; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211123; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211254; R. Dijkgraaf, A. Neitzke, C. Vafa, hep-th/0211194; H. Itoyama, A. Morozov, hep-th/0211259; H. Itoyama, A. Morozov, hep-th/0212032; T.J. Hollowood, hep-th/0212065; S. Seki, hep-th/0212079; I. Bena, S. de Haro, R. Roiban, hep-th/0212083; C. Hofman, hep-th/0212095; Y. Demasure, R.A. Janik, hep-th/0212212; T. Mansson, hep-th/0302077; C.I. Lazaroiu, hep-th/0303008; D. Berenstein, hep-th/0210183; D. Berenstein, hep-th/0303033.
58. N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209099; N. Dorey, T.J. Hollowood, S.P. Kumar, A. Sinkovics, hep-th/0209089; N. Dorey, T.J. Hollowood, S.P. Kumar, hep-th/0210239; F. Ferrari, hep-th/0210135; R. Dijkgraaf, S. Gukov, V.A. Kazakov, C. Vafa, hep-th/0210238; R. Argurio, V.L. Campos, G. Ferretti, R. Heise, hep-th/0210291; J. McGreevy, hep-th/0211009; H. Suzuki, hep-th/0211052; I. Bena, R. Roiban, hep-th/0211075; R. Gopakumar, hep-th/0211100; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211123; S. Naculich, H. Schnitzer, N. Wyllard, hep-th/0211254; R. Dijkgraaf, A. Neitzke, C. Vafa, hep-th/0211194; H. Itoyama, A. Morozov, hep-th/0211259; H. Itoyama, A. Morozov, hep-th/0212032; T.J. Hollowood, hep-th/0212065; S. Seki, hep-th/0212079; I. Bena, S. de Haro, R. Roiban, hep-th/0212083; C. Hofman, hep-th/0212095; Y. Demasure, R.A. Janik, hep-th/0212212; T. Mansson, hep-th/0302077; C.I. Lazaroiu, hep-th/0303008; D. Berenstein, hep-th/0210183; D. Berenstein, hep-th/0303033.
59. H. Fuji, Y. Ookouchi, hep-th/0210148; H. Fuji, Y. Ookouchi, hep-th/0205301; H. Ita, H. Nieder, Y. Oz, hep-th/0211261; Y. Ookouchi, hep-th/0211287; R.A. Janik, N.A. Obers, hep-th/0212069; S.K. Ashok, R. Corrado, N. Halmagyi, K.D. Kennaway, C. Romelsberger, hep-th/0211291; B. Feng, hep-th/0212010; C. Ahn, S. Nam, hep-th/0301203; Y. Ookouchi, Y. Watabiki, hep-th/0301226; R. Abbaspur, A. Imaanpur, S. Parvizi, hep-th/0302083; A. Klemm, K. Landsteiner, C.I. Lazaroiu, I. Runkel, hep-th/0303032.
60. H. Fuji, Y. Ookouchi, hep-th/0210148; H. Fuji, Y. Ookouchi, hep-th/0205301; H. Ita, H. Nieder, Y. Oz, hep-th/0211261; Y. Ookouchi, hep-th/0211287; R.A. Janik, N.A. Obers, hep-th/0212069; S.K. Ashok, R. Corrado, N. Halmagyi, K.D. Kennaway, C. Romelsberger, hep-th/0211291; B. Feng, hep-th/0212010; C. Ahn, S. Nam, hep-th/0301203; Y. Ookouchi, Y. Watabiki, hep-th/0301226; R. Abbaspur, A. Imaanpur, S. Parvizi, hep-th/0302083; A. Klemm, K. Landsteiner, C.I. Lazaroiu, I. Runkel, hep-th/0303032.
61. H. Fuji, Y. Ookouchi, hep-th/0210148; H. Fuji, Y. Ookouchi, hep-th/0205301; H. Ita, H. Nieder, Y. Oz, hep-th/0211261; Y. Ookouchi, hep-th/0211287; R.A. Janik, N.A. Obers, hep-th/0212069; S.K. Ashok, R. Corrado, N. Halmagyi, K.D. Kennaway, C. Romelsberger, hep-th/0211291; B. Feng, hep-th/0212010; C. Ahn, S. Nam, hep-th/0301203; Y. Ookouchi, Y. Watabiki, hep-th/0301226; R. Abbaspur, A. Imaanpur, S. Parvizi, hep-th/0302083; A. Klemm, K. Landsteiner, C.I. Lazaroiu, I. Runkel, hep-th/0303032.
62. H. Fuji, Y. Ookouchi, hep-th/0210148; H. Fuji, Y. Ookouchi, hep-th/0205301; H. Ita, H. Nieder, Y. Oz, hep-th/0211261; Y. Ookouchi, hep-th/0211287; R.A. Janik, N.A. Obers, hep-th/0212069; S.K. Ashok, R. Corrado, N. Halmagyi, K.D. Kennaway, C. Romelsberger, hep-th/0211291; B. Feng, hep-th/0212010; C. Ahn, S. Nam, hep-th/0301203; Y. Ookouchi, Y. Watabiki, hep-th/0301226; R. Abbaspur, A. Imaanpur, S. Parvizi, hep-th/0302083; A. Klemm, K. Landsteiner, C.I. Lazaroiu, I. Runkel, hep-th/0303032.
63. H. Fuji, Y. Ookouchi, hep-th/0210148; H. Fuji, Y. Ookouchi, hep-th/0205301; H. Ita, H. Nieder, Y. Oz, hep-th/0211261; Y. Ookouchi, hep-th/0211287; R.A. Janik, N.A. Obers, hep-th/0212069; S.K. Ashok, R. Corrado, N. Halmagyi, K.D. Kennaway, C. Romelsberger, hep-th/0211291; B. Feng, hep-th/0212010; C. Ahn, S. Nam, hep-th/0301203; Y. Ookouchi, Y. Watabiki, hep-th/0301226; R. Abbaspur, A. Imaanpur, S. Parvizi, hep-th/0302083; A. Klemm, K. Landsteiner, C.I. Lazaroiu, I. Runkel, hep-th/0303032.
64. H. Fuji, Y. Ookouchi, hep-th/0210148; H. Fuji, Y. Ookouchi, hep-th/0205301; H. Ita, H. Nieder, Y. Oz, hep-th/0211261; Y. Ookouchi, hep-th/0211287; R.A. Janik, N.A. Obers, hep-th/0212069; S.K. Ashok, R. Corrado, N. Halmagyi, K.D. Kennaway, C. Romelsberger, hep-th/0211291; B. Feng, hep-th/0212010; C. Ahn, S. Nam, hep-th/0301203; Y. Ookouchi, Y. Watabiki, hep-th/0301226; R. Abbaspur, A. Imaanpur, S. Parvizi, hep-th/0302083; A. Klemm, K. Landsteiner, C.I. Lazaroiu, I. Runkel, hep-th/0303032.
65. H. Fuji, Y. Ookouchi, hep-th/0210148; H. Fuji, Y. Ookouchi, hep-th/0205301; H. Ita, H. Nieder, Y. Oz, hep-th/0211261; Y. Ookouchi, hep-th/0211287; R.A. Janik, N.A. Obers, hep-th/0212069; S.K. Ashok, R. Corrado, N. Halmagyi, K.D. Kennaway, C. Romelsberger, hep-th/0211291; B. Feng, hep-th/0212010; C. Ahn, S. Nam, hep-th/0301203; Y. Ookouchi, Y. Watabiki, hep-th/0301226; R. Abbaspur, A. Imaanpur, S. Parvizi, hep-th/0302083; A. Klemm, K. Landsteiner, C.I. Lazaroiu, I. Runkel, hep-th/0303032.
66. H. Fuji, Y. Ookouchi, hep-th/0210148; H. Fuji, Y. Ookouchi, hep-th/0205301; H. Ita, H. Nieder, Y. Oz, hep-th/0211261; Y. Ookouchi, hep-th/0211287; R.A. Janik, N.A. Obers, hep-th/0212069; S.K. Ashok, R. Corrado, N. Halmagyi, K.D. Kennaway, C. Romelsberger, hep-th/0211291; B. Feng, hep-th/0212010; C. Ahn, S. Nam, hep-th/0301203; Y. Ookouchi, Y. Watabiki, hep-th/0301226; R. Abbaspur, A. Imaanpur, S. Parvizi, hep-th/0302083; A. Klemm, K. Landsteiner, C.I. Lazaroiu, I. Runkel, hep-th/0303032.
67. H. Fuji, Y. Ookouchi, hep-th/0210148; H. Fuji, Y. Ookouchi, hep-th/0205301; H. Ita, H. Nieder, Y. Oz, hep-th/0211261; Y. Ookouchi, hep-th/0211287; R.A. Janik, N.A. Obers, hep-th/0212069; S.K. Ashok, R. Corrado, N. Halmagyi, K.D. Kennaway, C. Romelsberger, hep-th/0211291; B. Feng, hep-th/0212010; C. Ahn, S. Nam, hep-th/0301203; Y. Ookouchi, Y. Watabiki, hep-th/0301226; R. Abbaspur, A. Imaanpur, S. Parvizi, hep-th/0302083; A. Klemm, K. Landsteiner, C.I. Lazaroiu, I. Runkel, hep-th/0303032.
68. H. Fuji, Y. Ookouchi, hep-th/0210148; H. Fuji, Y. Ookouchi, hep-th/0205301; H. Ita, H. Nieder, Y. Oz, hep-th/0211261; Y. Ookouchi, hep-th/0211287; R.A. Janik, N.A. Obers, hep-th/0212069; S.K. Ashok, R. Corrado, N. Halmagyi, K.D. Kennaway, C. Romelsberger, hep-th/0211291; B. Feng, hep-th/0212010; C. Ahn, S. Nam, hep-th/0301203; Y. Ookouchi, Y. Watabiki, hep-th/0301226; R. Abbaspur, A. Imaanpur, S. Parvizi, hep-th/0302083; A. Klemm, K. Landsteiner, C.I. Lazaroiu, I. Runkel, hep-th/0303032.
69. H. Fuji, Y. Ookouchi, hep-th/0210148; H. Fuji, Y. Ookouchi, hep-th/0205301; H. Ita, H. Nieder, Y. Oz, hep-th/0211261; Y. Ookouchi, hep-th/0211287; R.A. Janik, N.A. Obers, hep-th/0212069; S.K. Ashok, R. Corrado, N. Halmagyi, K.D. Kennaway, C. Romelsberger, hep-th/0211291; B. Feng, hep-th/0212010; C. Ahn, S. Nam, hep-th/0301203; Y. Ookouchi, Y. Watabiki, hep-th/0301226; R. Abbaspur, A. Imaanpur, S. Parvizi, hep-th/0302083; A. Klemm, K. Landsteiner, C.I. Lazaroiu, I. Runkel, hep-th/0303032.