Cubic curves from matrix models and generalized Konishi anomalies

Journal of High Energy Physics

Volumn 7, Issue 8, 2003, Pages 551-579

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

^a BOWDOIN COLLEGE   (United States)

^b BRANDEIS UNIVERSITY   (United States)

Author keywords

1 N Expansion; Extended Supersymmetry; Matrix Models; Nonperturbative Effects

Indexed keywords

EID: 23044493208     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2003/08/021     Document Type: Article

References (39)

1. R. Dijkgraaf and C. Vafa, A perturbative window into non-perturbative physics, hep-th/0208048.
2. R. Dijkgraaf, M.T. Grisaru, C.S. Lam, C. Vafa and D. Zanon, Perturbative computation of glueball superpotentials, hep-th/0211017.
3. 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].
4. K. Konishi, Anomalous supersymmetry transformation of some composite operators in SQCD, Phys. Lett. B 135 (1984) 439;
5. K.-I. Konishi and K.-I. Shizuya, Functional integral approach to chiral anomalies in supersymmetric gauge theories, Nuovo Cim. A90 (1985) 111.
6. N. Seiberg, Adding fundamental matter to 'Chiral rings and anomalies in supersymmetric gauge theory', J. High Energy Phys. 01 (2003) 061 [hep-th/0212225].
7. A. Gorsky, Konishi anomaly and N = 1 effective superpotentials from matrix models, Phys. Lett. B 554 (2003) 185 [hep-th/0210281];
8. F. Ferrari, Quantum parameter space and double scaling limits in N = 1 super Yang-Mills theory, Phys. Rev. D 67 (2003) 085013 [hep-th/0211069];
9. B. Feng, Note on matrix model with massless flavors, Phys. Rev. D 68 (2003) 025010 [hep-th/0212274];
10. F. Cachazo, N. Seiberg and E. Witten, Phases of N = l supersymmetric gauge theories and matrices, J. High Energy Phys. 02 (2003) 042 [hep-th/0301006];
11. 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];
12. 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;
13. V. Balasubramanian, B. Feng, M.-x. Huang and A. Naqvi, Phases of N = 1 supersymmetric gauge theories with flavors, hep-th/0303065;
14. P. Kraus and M. Shigemori, On the matter of the Dijkgraaf-Vafa conjecture, J. High Energy Phys. 04 (2003) 052 [hep-th/0303104].
15. F. Cachazo, N. Seiberg and E. Witten, Chiral rings and phases of supersymmetric gauge theories, J. High Energy Phys. 04 (2003) 018 [hep-th/0303207].
16. R. Dijkgraaf and C. Vafa, On geometry and matrix models, Nucl. Phys. B 644 (2002) 21 [hep-th/0207106].
17. Y. Tachikawa, Derivation of the konishi anomaly relation from Dijkgraaf-Vafa with (bi-)fundamental matters, hep-th/0211189;
18. S. Seki, Comments on quiver gauge theories and matrix models, hep-th/0212079.
19. f matrix models, hep-th/0212095.
20. C.I. Lazaroiu, Holomorphic matrix models, J. High Energy Phys. 05 (2003) 044 [hep-th/0303008].
21. A. Klemm, K. Landsteiner, C.I. Lazaroiu and I. Runkel, Constructing gauge theory geometries from matrix models, J. High Energy Phys. 05 (2003) 066 [hep-th/0303032].
22. R. Dijkgraaf and C. Vafa, Matrix models, topological strings and supersymmetric gauge theories, Nucl. Phys. B 644 (2002) 3 [hep-th/0206255].
23. I.K. Kostov, Gauge invariant matrix model for the A-D-E closed strings, Phys. Lett. B 297 (1992) 74 [hep-th/9208053].
24. 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].
25. V.A. Novikov, M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, Instanton effects in supersymmetric theories, Nucl. Phys. B 229 (1983) 407.
26. R. Gopakumar, N = 1 theories and a geometric master field, J. High Energy Phys. 05 (2003) 033 [hep-th/0211100].
27. S.G. Naculich, H.J. Schnitzer and N. Wyllard, Matrix model approach to the N = 2 U(N) gauge theory with matter in the fundamental representation, J. High Energy Phys. 01 (2003) 015 [hep-th/0211254].
28. I.K. Rostov, O(N) vector model on a planar random lattice: spectrum of anomalous dimensions, Mod. Phys. Lett. A 4 (1989) 217;
29. M. Gaudin and I. Kostov, O(N) model on a fluctuating planar lattice: some exact results, Phys. Lett. B 220 (1989) 200;
30. I.R. Kostov and M. Staudacher, Multicritical phases of the O(N) model on a random lattice, Nucl. Phys. B 384 (1992) 459 [hep-th/9203030].
31. 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];
32. 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].
33. J. Ambjørn, L. Chekhov and Y. Makeenko, Higher genus correlators and w infinity from the hermitian one matrix model, Phys. Lett. B 282 (1992) 341 [hep-th/9203009];
34. 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].
35. S.G. Naculich, H.J. Schnitzer and N. Wyllard, The N = 2 U(N) gauge theory prepotential and periods from a perturbative matrix model calculation, Nucl. Phys. B 651 (2003) 106 [hep-th/0211123].
36. 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];
37. 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];
38. 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].
39. V. Balasubramanian et al., Multi-trace superpotentials vs. matrix models, hep-th/0212082.