Matrix-model description of N = 2 gauge theories with non-hyperelliptic Seiberg-Witten curves

Nuclear Physics B

Volumn 674, Issue 1-2, 2003, Pages 37-79

  Naculich, Stephen G ^a   Schnitzer, Howard J ^b   Wyllard, Niclas ^b  

^a BOWDOIN COLLEGE   (United States)

^b BRANDEIS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242467493     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2003.09.028     Document Type: Article

References (61)

1. Naculich S.G. Schnitzer H.J. Wyllard N. Cubic curves from matrix models and generalized Konishi anomalies hep-th/0303268
2. Dijkgraaf R. Vafa C. On geometry and matrix models Nucl. Phys. B 644 2002 21-39. hep-th/0207106
3. Dijkgraaf R. Gukov S. Kazakov V.A. Vafa C. Perturbative analysis of gauged matrix models hep-th/0210238
4. Cachazo F. Vafa C. N = 1 and N = 2 geometry from fluxes hep-th/020601
5. Naculich S.G. Schnitzer H.J. Wyllard N. The N = 2 U(N) gauge theory prepotential and periods from a perturbative matrix model calculation Nucl. Phys. B 651 2003 106-124. hep-th/0211123.
6. Klemm A. Marino M. Theisen S. Gravitational corrections in supersymmetric gauge theory and matrix models hep-th/0211216
7. Naculich S.G. Schnitzer H.J. Wyllard N. Matrix model approach to the N = 2 U(N) gauge theory with matter in the fundamental representation JHEP 01 2003 015. hep-th/0211254
8. Matone M. Seiberg-Witten duality in Dijkgraaf-Vafa theory Nucl. Phys. B 656 2003 78-92. hepth/0212253.
9. Ahn C.-h. Nam S.-k. N = 2 supersymmetric SO(N)/Sp(N) gauge theories from matrix model hep-th/0301203
10. Ookouchi Y. Watabiki Y. Effective superpotentials for SO/Sp with flavor from matrix models hep-th/0301226
11. Abbaspur R. Imaanpur A. Parvizi S. N = 2 SO(N) SYM theory from matrix model hep-th/0302083
12. Boels R. de Boer J. Duivenvoorden R. Wijnhout J. Non-perturbative superpotentials and compactifications to three dimensions hep-th/0304061
13. Alishahiha M. Mosaffa A.E. On effective superpotentials and compactification to three dimensions hep-th/0304247
14. Petrini M. Tomasiello A. Zaffaroni A. On the geometry of matrix models for N = 1 hep-th/0304251
15. Hollowood T.J. Critical points of glueball superpotentials and equilibria of integrable systems hep-th/0305023
16. Matone M. Mazzucato L. Branched matrix models and the scales of supersymmetric gauge theories hep-th/0305225
17. Seiberg N. Witten E. Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD Nucl. Phys. B 431 1994 484-550. hep-th/9408099
18. Seiberg N. Witten E. Electric-magnetic duality, monopole condensation, and confinement in N = 2 supersymmetric Yang-Mills theory Nucl. Phys. B 426 1994 19-52. hep-th/9407087.
19. Cachazo F. Douglas M.R. Seiberg N. Witten E. Chiral rings and anomalies in supersymmetric gauge theory JHEP 12 2002 071. hep-th/0211170
20. Casero R. Trincherini E. Quivers via anomaly chains hep-th/0304123
21. Dijkgraaf R. Grisaru M.T. Lam C.S. Vafa C. Zanon D. Perturbative computation of glueball superpotentials hep-th/0211017
22. Seiberg N. Adding fundamental matter to 'Chiral rings and anomalies in supersymmetric gauge theory' JHEP 01 2003 061, hep-th/0212225.
23. Kraus P. Shigemori M. On the matter of the Dijkgraaf-Vafa conjecture JHEP 04 2003 052 hepth/0303104.
24. Alday L.F. Cirafici M. Effective superpotentials via Konishi anomaly hep-th/0304119
25. Kraus P. Ryzhov A.V. Shigemori M. Loop equations, matrix models, and N = 1 supersymmetric gauge theories hep-th/0304138
26. Aganagic M. Intriligator K. Vafa C. Warner N.P. The glueball superpotential hep-th/0304271
27. Dijkgraaf R. Vafa C. A perturbative window into non-perturbative physics hep-th/0208048
28. Oda H. Tomizawa S. Sakai N. Sakai T. M theory and the 'integrating in' method with an antisymmetric tensor Phys. Rev. D 58 1998 066002. hep-th/9802004.
29. f matrix models hep-th/0212095
30. Lazaroiu C.I. Holomorphic matrix models hep-th/0303008
31. Klemm A. Landsteiner K. Lazaroiu C.I. Runkel I. Constructing gauge theory geometries from matrix models hep-th/0303032
32. Witten E. Solutions of four-dimensional field theories via M-theory Nucl. Phys. B 500 1997 3-42. hepth/9703166.
33. Katz S. Klemm A. Vafa C. Geometric engineering of quantum field theories Nucl. Phys. B 497 1997 173-195. hep-th/9609239
34. Katz S. Mayr P. Vafa C. Mirror symmetry and exact solution of 4D N = 2 gauge theories I Adv. Theor. Math. Phys. 1 1998 53-114. hep-th/9706110.
35. Erlich J. Naqvi A. Randall L. The Coulomb branch of N = 2 supersymmetric product group theories from branes Phys. Rev. D 58 1998 046002. hep-th/9801108.
36. Landsteiner K. Lopez E. New curves from branes Nucl. Phys. B 516 1998 273-296. hep-th/9708118.
37. Fayyazuddin A. Spalinski M. The Seiberg-Witten differential from M-theory Nucl. Phys. B 508 1997 219-228. hep-th/9706087.
38. Naculich S.G. Rhedin H. Schnitzer H.J. One-instanton test of a Seiberg-Witten curve from M-theory: The antisymmetric representation of SU(N) Nucl. Phys. B 533 1998 275-302. hep-th/9804105
39. Ennes I.P. Naculich S.G. Rhedin H. Schnitzer H.J. One instanton predictions of a Seiberg-Witten curve from M- theory: the symmetric representation of SU(N) Int. J. Mod. Phys. A 14 1999 301-321. hepth/9804151.
40. Ennes I.P. Naculich S.G. Rhedin H. Schnitzer H.J. One-instanton predictions for non-hyperelliptic curves derived from M-theory Nucl. Phys. B 536 1998 245-257. hep-th/9806144.
41. D'Hoker E. Krichever I.M. Phong D.H. Seiberg-Witten theory, symplectic forms, and Hamiltonian theory of solitons hep-th/0212313
42. 2) Yang-Mills theories hep-th/0301105
43. Chan G. D'Hoker E. Instanton recursion relations for the effective prepotential in N = 2 super-Yang-Mills Nucl. Phys. B 564 2000 503-516. hep-th/9906193
44. N. Nekrasov, talk at the Strings 2002 conference, Cambridge, UK, http://www.damtp.cam.ac.uk/strings2002/avt/nekrasov/
45. 't Hooft G. A planar diagram theory for strong interactions Nucl. Phys. B 72 1974 461
46. Cachazo F. Katz S. Vafa C. Geometric transitions and N = 1 quiver theories hep-th/0108120
47. Cachazo F. Seiberg N. Witten E. Chiral rings and phases of supersymmetric gauge theories hep-th/0303207
48. 2 quiver gauge theory and matrix models hep-th/0307054
49. Cachazo F. Notes on supersymmetric Sp(N) theories with an antisymmetric tensor hep-th/0307063
50. Ooguri H. Vafa C. Worldsheet derivation of a large N duality Nucl. Phys. B 641 2002 3-34. hepth/0205297.
51. Ashok S.K. Corrado R. Halmagyi N. Kennaway K.D. Römelsberger C. Unoriented strings, loop equations, and N = 1 superpotentials from matrix models hep-th/0211291
52. Ita H. Nieder H. Oz Y. Perturbative computation of glueball superpotentials for SO(N) and USp(N) JHEP 01 2003 018. hep-th/0211261
53. Janik R.A. Obers N.A. SO(N) superpotential, Seiberg-Witten curves and loop equations Phys. Lett. B 553 2003 309-316. hep-th/0212069.
54. Kostov I.K. Gauge invariant matrix model for the A-D-E closed strings Phys. Lett. B 297 1992 74. hepth/9208053
55. Kharchev S. Marshakov A. Mironov A. Morozov A. Pakuliak S. Conformal matrix models as an alternative to conventional multimatrix models Nucl. Phys. B 404 1993 717-750. hep-th/9208044
56. Ferrari F. Quantum parameter space and double scaling limits in N = 1 super-Yang-Mills theory hep-th/0211069
57. Kostov I.K. O(n) vector model on a planar random lattice: spectrum of anomalous dimensions Mod. Phys. Lett. A 4 1989 217
58. Eynard B. Zinn-Justin J. The O(n) model on a random surface: critical points and large order behavior Nucl. Phys. B 386 1992 558. hep-th/9204082
59. Eynard B. Kristjansen C. Exact solution of the O(n) model on a random surface Nucl. Phys. B 455 1995 577. hep-th/9506193.
60. Gopakumar R. N = 1 theories and a geometric master field hep-th/0211100
61. Cvitanovic P. Group theory for Feynman diagrams in non-Abelian gauge theories: exceptional groups Phys. Rev. D 14 1976 1536