Exact superpotentials, theories with flavor and confining vacua

Journal of High Energy Physics

Volumn 8, Issue 6, 2004, Pages 1271-1287

  Gómez Reino, Marta ^a  

^a BRANDEIS UNIVERSITY   (United States)

Author keywords

Matrix Models; Supersymmetric Effective Theories

Indexed keywords

EID: 23044448402     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2004/06/051     Document Type: Article

References (43)

1. 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].
2. F. Cachazo and C. Vafa, N = 1 and N = 2 geometry from fluxes, hep-th/0206017.
3. R. Dijkgraaf and C. Vafa, Matrix models, topological strings and supersymmetric gauge theories, Nucl. Phys. B 644 (2002) 3 [hep-th/0206255].
4. R. Dijkgraaf and C. Vafa, On geometry and matrix models, Nucl. Phys. B 644 (2002) 21 [hep-th/0207106].
5. R. Dijkgraaf and C. Vafa, A perturbative window into non-perturbative physics, hep-th/0208048.
6. R. Dijkgraaf, M.T. Grisaru, C.S. Lam, C. Vafa and D. Zanon, Perturbative computation of glueball super potentials, Phys. Lett. B 573 (2003) 138 [hep-th/0211017].
7. 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].
8. N. Seiberg, Adding fundamental matter to 'Chiral rings and anomalies in supersymmetric gauge theory', J. High Energy Phys. 01 (2003) 061 [hep-th/0212225].
9. 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];
10. Chiral rings and phases of supersymmetric gauge theories, J. High Energy Phys. 04 (2003) 018 [hep-th/0303207].
11. 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].
12. J. McGreevy, Adding flavor to Dijkgraaf-Vafa, J. High Energy Phys. 01 (2003) 047 [hep-th/0211009].
13. 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].
14. Y. Demasure and R.A. Janik, Effective matter superpotentials from wishart random matrices, Phys. Lett. B 553 (2003) 105 [hep-th/0211082].
15. 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].
16. f matrix models, J. High Energy Phys. 10 (2003) 022 [hep-th/0212095].
17. R. Dijkgraaf, S. Gukov, V.A. Kazakov and C. Vafa, Perturbative analysis of gauged matrix models, Phys. Rev. D 68 (2003) 045007 [hep-th/0210238].
18. F. Ferrari, On exact superpotentials in confining vacua, Nucl. Phys. B 648 (2003) 161 [hep-th/0210135].
19. 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];
20. Quantum parameter space in super Yang-Mills, II, Phys. Lett. B 557 (2003) 290 [hep-th/0301157].
21. H. Itoyama and A. Morozov, The Dijkgraaf-Vafa prepotential in the context of general Seiberg-Witten theory, Nucl. Phys. B 657 (2003) 53 [hep-th/0211245].
22. 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].
23. M. Gomez-Reino, S.G. Naculich and H.J. Schnitzer, Improved matrix-model calculation of the N = 2 prepotential, J. High Energy Phys. 04 (2004) 033 [hep-th/0403129].
24. N. Seiberg and E. Witten, Electric-magnetic duality, monopole condensation and confinement in N = 2 supersymmetric Yang-Mills theory, Nucl. Phys. B 426 (1994) 19 [hep-th/9407087], erratum ibid. B430 (1994) 485 [hep-th/9407087];
25. Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD, Nucl. Phys. B 431 (1994) 484 [hep-th/9408099].
26. M.R. Douglas and S.H. Shenker, Dynamics of SU(N) supersymmetric gauge theory, Nucl. Phys. B 447 (1995) 271 [hep-th/9503163].
27. A. Dymarsky and V. Pestun, On the property of Cachazo-Intriligator- Vafa prepotential at the extremum of the superpotential, Phys. Rev. D 67 (2003) 125001 [hep-th/0301135].
28. M. Matone, Seiberg- Witten duality in Dijkgraaf- Vafa theory, Nucl. Phys. B 656 (2003) 78 [hep-th/0212253];
29. M. Matone and L. Mazzucato, Branched matrix models and the scales of supersymmetric gauge theories, J. High Energy Phys. 07 (2003) 015 [hep-th/0305225].
30. G. Veneziano and S. Yankielowicz, An effective lagrangian for the pure N = 1 supersymmetric Yang-Mills theory, Phys. Lett. B 113 (1982) 231.
31. K.A. Intriligator, R.G. Leigh and N. Seiberg, Exact superpotentials in four-dimensions, Phys. Rev. D 50 (1994) 1092 [hep-th/9403198].
32. H. Fuji and Y. Ookouchi, Comments on effective superpotentials via matrix models, J. High Energy Phys. 12 (2002) 067 [hep-th/0210148].
33. G. Hailu and H. Georgi, On exact superpotentials, free energies and matrix models, J. High Energy Phys. 02 (2004) 038 [hep-th/0401101].
34. Y. Demasure and R.A. Janik, Explicit factorization of Seiberg- Witten curves with matter from random matrix models, Nucl. Phys. B 661 (2003) 153 [hep-th/0212212].
35. 2) factorization of Seiberg-Witten curves and N = 1 vacua, Phys. Rev. D 69 (2004) 085010 [hep-th/0311093].
36. K.D. Kennaway and N.P. Warner, Effective superpotentials, geometry and integrable systems, hep-th/0312077.
37. B.M. Gripaios, Superpotentials for gauge and conformal supergravity backgrounds, hep-th/0311025;
38. B.M. Gripaios and J. F. Wheater, Veneziano-Yankielowicz superpotential terms in N = 1 SUSY gauge theories, Phys. Lett. B 587 (2004) 150 [hep-th/0307176].
39. E. Brezin, C. Itzykson, G. Parisi and J.B. Zuber, Planar diagrams, Commun. Math. Phys. 59 (1978) 35.
40. A. Klemm, W. Lerche, S. Yankielowicz and S. Theisen, Simple singularities and N = 2 supersymmetric Yang-Mills theory, Phys. Lett. B 344 (1995) 169 [hep-th/9411048];
41. P.C. Argyres and A.E. Faraggi, The vacuum structure and spectrum of N = 2 supersymmetric SU(N) gauge theory, Phys. Rev. Lett. 74 (1995) 3931 [hep-th/9411057].
42. H. Itoyama and A. Morozov, Calculating gluino condensate prepotential, Prog. Theor. Phys. 109 (2003) 433 [hep-th/0212032];
43. Gluino-condensate (CIV-DV) prepotential from its Whitham-time derivatives, Int. J. Mod. Phys. A 18 (2003) 5889 [hep-th/0301136].