Chiral rings and phases of supersymmetric gauge theories

Journal of High Energy Physics

Volumn 7, Issue 4, 2003, Pages 375-420

  Cachazo, Freddy ^a   Seiberg, Nathan ^a   Witten, Edward ^a  

^a INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

Confinement; Duality in Gauge Field Theories; Nonperturbative Effects; Supersymmetry and Duality

Indexed keywords

EID: 23044495293     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2003/04/018     Document Type: Article

References (47)

1. K.A. Intriligator and N. Seiberg, Lectures on supersymmetric gauge theories and electric-magnetic duality, Nucl. Phys. 45BC (Proc. Suppl.) (1996) 1 [hep-th/9509066].
2. R. Dijkgraaf and C. Vafa, A perturbative window into non-perturbative physics, hep-th/0208048.
3. M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa, Kodaira-spencer theory of gravity and exact results for quantum string amplitudes, Commun. Math. Phys. 165 (1994) 311 [hep-th/9309140].
4. R. Gopakumar and C. Vafa, On the gauge theory/geometry correspondence, Adv. Theor. Math. Phys. 3 (1999) 1415 [hep-th/9811131].
5. C. Vafa, Superstrings and topological strings at large-N, J. Math. Phys. 42 (2001) 2798 [hep-th/0008142].
6. 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].
7. F. Cachazo and C. Vafa, N = 1 and N = 2 geometry from fluxes, hep-th/0206017.
8. R. Dijkgraaf and C. Vafa, Matrix models, topological strings and supersymmetric gauge theories, Nucl. Phys. B 644 (2002) 3 [hep-th/0206255].
9. R. Dijkgraaf and C. Vafa, On geometry and matrix models, Nucl. Phys. B 644 (2002) 21 [hep-th/0207106].
10. T. J. Hollowood and T. Kingaby, The phase structure of mass-deformed SU(2) × SU(2) quiver theory, J. High Energy Phys. 01 (2003) 005 [hep-th/0210096].
11. D. Berenstein, Quantum moduli spaces from matrix models, Phys. Lett. B 552 (2003) 255 [hep-th/0210183].
12. R. Argurio, V.L. Campos, G. Ferretti and R. Heise, Exact superpotentials for theories with flavors via a matrix integral, Phys. Rev. D 67 (2003) 065005 [hep-th/0210291].
13. J. McGreevy, Adding flavor to Dijkgraaf-Vafa, J. High Energy Phys. 01 (2003) 047 [hep-th/0211009].
14. H. Suzuki, Perturbative derivation of exact superpotential for meson fields from matrix theories with one flavour, J. High Energy Phys. 03 (2003) 005 [hep-th/0211052].
15. I. Bena and R. Roiban, Exact superpotentials in N = 1 theories with flavor and their matrix model formulation, Phys. Lett. B 555 (2003) 117 [hep-th/0211075].
16. Y. Demasure and R.A. Janik, Effective matter superpotentials from wishart random matrices, Phys. Lett. B 553 (2003) 105 [hep-th/0211082].
17. Y. Tachikawa, Derivation of the konishi anomaly relation from Dijkgraaf-Vafa with (bi-)fundamental matters, hep-th/0211189.
18. R. Argurio, V.L. Campos, G. Ferretti and R. Heise, Baryonic corrections to superpotentials from perturbation theory, Phys. Lett. B 553 (2003) 332 [hep-th/0211249].
19. S.G. Naculich, H.J. Schnitzer and N. Wyllard, Matrix model approach to the N = 2U(N) gauge theory with matter in the fundamental representation, J. High Energy Phys. 01 (2003) 015 [hep-th/0211254].
20. I. Bena, R. Roiban and R. Tatar, Baryons, boundaries and matrix models, hep-th/0211271.
21. B. Feng, Seiberg duality in matrix model, hep-th/0211202.
22. B. Feng and Y.-H. He, Seiberg duality in matrix models, ii, hep-th/0211234.
23. Y. Ookouchi, N = 1 gauge theory with flavor from fluxes, hep-th/0211287.
24. K. Ohta, Exact mesonic vacua from matrix model, J. High Energy Phys. 02 (2003) 057 [hep-th/0212025].
25. I. Bena, S. de Haro and R. Roiban, Generalized yukawa couplings and matrix models, hep-th/0212083.
26. C. Hofman, Super Yang-Mills with flavors from large-N(f) matrix models, hep-th/0212095.
27. N. Seiberg, Adding fundamental matter to 'chiral rings and anomalies in supersymmetric gauge theory', J. High Energy Phys. 01 (2003) 061 [hep-th/0212225].
28. B. Feng, Note on matrix model with massless flavors, hep-th/0212274.
29. R. Roiban, R. Tatar and J. Walcher, Massless flavor in geometry and matrix models, hep-th/0301217.
30. V. Balasubramanian, B. Feng, M.-x. Huang and A. Naqvi, Phases of N = 1 supersymmetric gauge theories with flavors, hep-th/0303065.
31. I. Bena, H. Murayama, R. Roiban and R. Tatar, Matrix model description of baryonic deformations, hep-th/0303115.
32. B. Feng, Note on Seiberg duality in matrix model, hep-th/0303144.
33. 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].
34. 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].
35. E.H. Fradkin and S.H. Shenker, Phase diagrams of lattice gauge theories with Higgs fields, Phys. Rev. D 19 (1979) 3682.
36. T. Banks and E. Rabinovici, Finite temperature behavior of the lattice abelian Higgs model, Nucl. Phys. B 160 (1979) 349.
37. N. Seiberg and E. Witten, Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD, Nucl. Phys. B 431 (1994) 484 [hep-th/9408099].
38. c) gauge theories, Nucl. Phys. B 452 (1995) 283 [hep-th/9505075];
39. P.C. Argyres, M.R. Plesser and A.D. Shapere, The coulomb phase of N = 2 supersymmetric QCD, Phys. Rev. Lett. 75 (1995) 1699 [hep-th/9505100];
40. J.A. Minahan and D. Nemeschansky, Hyperelliptic curves for supersymmetric Yang-Mills, Nucl. Phys. B 464 (1996) 3 [hep-th/9507032];
41. I.M. Krichever and D.H. Phong, On the integrable geometry of soliton equations and N = 2 supersymmetric gauge theories, J. Diff. Geom. 45 (1997) 349-389 [hep-th/9604199];
42. c) gauge theories, Nucl. Phys. B 489 (1997) 179 [hep-th/9609041].
43. A. Kapustin, The coulomb branch of N = 1 supersymmetric gauge theory with adjoint and fundamental matter, Phys. Lett. B 398 (1997) 104 [hep-th/9611049].
44. I.G. Macdonald, The volume of a compact Lie group, Invent. Math. 56 (1980) 93.
45. H. Ooguri and C. Vafa, Worldsheet derivation of a large-N duality, Nucl. Phys. B 641 (2002) 3 [hep-th/0205297].
46. P. Di Francesco, P. Ginsparg and J. Zinn-Justin, 2-d gravity and random matrices, Phys. Rept. 254 (1995) 1 [hep-th/9306153].
47. H.M. Farkas and I. Kra. Riemann Surfaces, 2nd ed., Springer-Verlag, New York 1992.