Constructing gauge theory geometries from matrix models

Journal of High Energy Physics

Volumn 7, Issue 5, 2003, Pages 1541-1584

  Klemm, Albrecht ^a   Landsteiner, Karl ^a   Lazaroiu, Calin Iuliu ^a   Runkel, Ingo ^a  

^a HUMBOLDT UNIVERSITY   (Germany)

Author keywords

1 N Expansion; Matrix Models; Supersymmetric Effective Theories; Topological Field Theories

Indexed keywords

EID: 33744988634     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2003/05/066     Document Type: Article

References (52)

1. R. Dijkgraaf and C. Vafa, Matrix models, topological strings and supersymmetric gauge theories, Nucl. Phys. B 644 (2002) 3 [hep-th/0206255].
2. R. Dijkgraaf and C. Vafa, On geometry and matrix models, Nucl. Phys. B 644 (2002) 21 [hep-th/0207106].
3. R. Dijkgraaf and C. Vafa, A perturbative window into non-perturbative physics, hep-th/0208048.
4. R. Dijkgraaf, A. Neitzke and C. Vafa, Large-N strong coupling dynamics in non-supersymmetric orbifold field theories, hep-th/0211194.
5. F. Cachazo, K.A. Intriligator and C. Vafa, A large-N duality via a geometric transition, Nucl. Phys. B 603 (2001) 3 [hep-th/0103067].
6. F. Cachazo and C. Vafa, N = 1 and N = 2 geometry from fluxes, hep-th/0206017.
7. R. Dijkgraaf, S. Gukov, V. A. Kazakov and C. Vafa, Perturbative analysis of gauged matrix models, hep-th/0210238.
8. R. Dijkgraaf, M.T. Grisaru, C.S. Lam, C. Vafa and D. Zanon, Perturbative computation of glueball superpotentials, hep-th/0211017.
9. A. Gorsky, Konishi anomaly and N = 1 effective superpotentials from matrix models, Phys. Lett. B 554 (2003) 185 [hep-th/0210281].
10. F. Cachazo, M.R. Douglas, N. Seiberg and E. Witten, Chiral rings and anomalies in supersymmetric gauge theory, J. High Energy Phys. 12 (2002) 071 [hep-th/0211170].
11. F. Cachazo, N. Seiberg and E. Witten, Phases of N = 1 supersymmetric gauge theories and matrices, J. High Energy Phys. 02 (2003) 042 [hep-th/0301006].
12. N. Seiberg, Adding fundamental matter to 'Chiral rings and anomalies in supersymmetric gauge theory', J. High Energy Phys. 01 (2003) 061 [hep-th/0212225].
13. R. Roiban, R. Tatar and J. Walcher, Massless flavor in geometry and matrix models, hep-th/0301217.
14. A. Brandhuber, H. Ita, H. Nieder, Y. Oz and C. Romelsberger, Chiral rings, superpotentials and the vacuum structure of N = 1 supersymmetric gauge theories, hep-th/0303001.
15. I. Affleck, M. Dine and N. Seiberg, Dynamical supersymmetry breaking in chiral theories, Phys. Lett. B 137 (1984) 187.
16. Y. Meurice and G. Veneziano, SUSY vacua versus chiral fermions, Phys. Lett. B 141 (1984) 69.
17. R.G. Leigh, L. Randall and R. Rattazzi, Unity of supersymmetry breaking models, Nucl. Phys. B 501 (1997) 375 [hep-ph/9704246].
18. A. Klemm, M. Marino and S. Theisen, Gravitational corrections in supersymmetric gauge theory and matrix models, J. High Energy Phys. 03 (2003) 051 [hep-th/0211216].
19. R. Dijkgraaf, A. Sinkovics and M. Temurhan, Matrix models and gravitational corrections, hep-th/0211241.
20. C.I. Lazaroiu, Holomorphic matrix models, hep-th/0303008.
21. H. Ita, H. Nieder and Y. Oz, Perturbative computation of glueball superpotentials for SO(N) and USp(N), J. High Energy Phys. 01 (2003) 018 [hep-th/0211261].
22. S.K. Ashok, R. Corrado, N. Halmagyi, K.D. Kennaway and C. Romelsberger, Unoriented strings, loop equations and N = 1 superpotentials from matrix models, Phys. Rev. D 67 (2003) 086004 [hep-th/0211291].
23. C.-h. Ahn and Y. Ookouchi, Phases of N = 1 supersymmetric SO/Sp gauge theories via matrix model, J. High Energy Phys. 03 (2003) 010 [hep-th/0302150].
24. R. Abbaspur, A. Imaanpur and S. Parvizi, N = 2 SO(N) SYM theory from matrix model, hep-th/0302083.
25. Y. Ookouchi and Y. Watabiki, Effective superpotentials for SO/Sp with flavor from matrix models, hep-th/0301226.
26. C.-h. Ahn and S.-k. Nam, N = 2 supersymmetric SO(N)/Sp(N) gauge theories from matrix model, hep-th/0301203.
27. C.-h. Ahn, Supersymmetric SO(N)/Sp(N) gauge theory from matrix model: exact mesonic vacua, Phys. Lett. B 560 (2003) 116 [hep-th/0301011].
28. R.A. Janik and N.A. Obers, SO(N) superpotential, Seiberg-Witten curves and loop equations, Phys. Lett. B 553 (2003) 309 [hep-th/0212069].
29. B. Feng, Geometric dual and matrix theory for SO/Sp gauge theories, hep-th/0212010.
30. K. Landsteiner and E. Lopez, New curves from branes, Nucl. Phys. B 516 (1998) 273 [hep-th/9708118].
31. K. Landsteiner, E. Lopez and D.A. Lowe, Supersymmetric gauge theories from branes and orientifold six-planes, J. High Energy Phys. 07 (1998) 011[hep-th/9805158].
32. I. Krichever and D.H. Phong, Spin chain models with spectral curves from M-theory, Commun. Math. Phys. 213 (2000) 539 [hep-th/9912180].
33. I.M. Krichever and D.H. Phong, Spin chains with twisted monodromy, hep-th/0110098.
34. S.G. Naculich, H. Rhedin and H.J. Schnitzer, One-instanton test of a Seiberg- Witten curve from M-theory: the antisymmetric representation of SU(N), Nucl. Phys. B 533 (1998) 275 [hep-th/9804105].
35. I.P. Ennes, S.G. Naculich, H. Rhedin and H.J. Schnitzer, 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 [hep-th/9804151].
36. F. Cachazo, S. Katz and C. Vafa, Geometric transitions and N = 1 quiver theories, hep-th/0108120.
37. K. Landsteiner, E. Lopez and D.A. Lowe, N = 2 supersymmetric gauge theories, branes and orientifolds, Nucl. Phys. B 507 (1997) 197 [hep-th/9705199].
38. I.K. Kostov, Gauge invariant matrix model for the A-D-E closed strings, Phys. Lett. B 297 (1992) 74 [hep-th/9208053].
39. I.K. Kostov, Solvable statistical models on a random lattice, Nucl. Phys. 45A (Proc. Suppl.) (1996) 13 [hep-th/9509124].
40. I.K. Kostov, Conformal field theory techniques in random matrix models, hep-th/9907060.
41. S. Kharchev, A. Marshakov, A. Mironov, A. Morozov and S. Pakuliak, Conformal matrix models as an alternative to conventional multimatrix models, Nucl. Phys. B 404 (1993) 717 [hep-th/9208044].
42. B. Eynard and J. Zinn-Justin, The O(N) model on a random surface: critical points and large order behavior, Nucl. Phys. B 386 (1992) 558 [hep-th/9204082].
43. B. Eynard and C. Kristjansen, Exact solution of the O(N) model on a random lattice, Nucl. Phys. B 455 (1995) 577 [hep-th/9506193].
44. G. Tian, Smoothness of the universal deformation space of compact Calabi- You manifolds and its Peterson-Weil metric, in Mathematical aspects of string theory, S.T. Yau ed., World Scientific, Singapore 1987.
45. A. Todorov, The Weil-Peterson geometry of the moduli space of SU(N) (n ≥ 3) manifolds I, Commun. Math. Phys. 126 (1989) 325.
46. L. Chekhov and A. Mironov, Matrix models vs. Seiberg-Witten/Whitham theories, Phys. Lett. B 552 (2003) 293 [hep-th/0209085].
47. A. Mironov, N = 1 SUSY inspired Whitham prepotentials and WDVV, hep-th/0301196.
48. L. Chekhov, A. Marshakov, A. Mironov and D. Vasiliev, DV and WDVV, hep-th/0301071.
49. J. Jurkiewicz, Regularization of the one matrix models, Phys. Lett. B 245 (1990) 178.
50. J. Ambjørn, L. Chekhov, C.F. Kristjansen and Y. Makeenko, Matrix model calculations beyond the spherical limit, Nucl. Phys. B 404 (1993) 127 [hep-th/9302014].
51. f matrix models, hep-th/0212095.
52. S. Seki, Comments on quiver gauge theories and matrix models, hep-th/0212079.