M theory, type IIA string and 4D N = 1 SUSY SU(NL) ⊗ SU(NR) gauge theory

Nuclear Physics B

Volumn 512, Issue 1-2, 1998, Pages 103-147

  Giveon, Amit ^a   Pelc, Oskar ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

D branes; Gauge theory; String theory; Supersymmetry

Indexed keywords

EID: 0032536241     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(97)00687-1     Document Type: Article

References (68)

1. [1] For a review, see for example: J. Polchinski, TASI lectures on D-branes, hep-th/9611050, and references therein.
2. [2] A. Hanany and E. Witten, Type IIB superstrings, BPS monopoles, and three-dimensional gauge dynamics, hep-th/9611230, Nucl. Phys. B 492 (1997) 152.
3. [3] S. Elitzur, A. Giveon and D. Kutasov, Branes and N = 1 duality in string theory, hep-th/9702014, Phys. Lett. B 400 (1997) 269.
4. [4] J. de Boer, K. Hori, H. Ooguri, Y. Oz and Z. Yin, Mirror symmetry in three-dimensional gauge theories, SL(2, ℤ) and D-brane moduli spaces, hep-th/9612131.
5. [5] J. de Boer, K. Hori, Y. Oz and Z. Yin, Branes and mirror symmetry in N = 2 supersymmetric gauge theories in three dimensions, hep-th/9702154.
6. [6] H. Ooguri and C. Vafa, Geometry of N = 1 dualities in four dimensions, hep-th/9702180.
7. [7] J.L.F. Barbón, Rotated branes and N = 1 duality, hep-th/9703051.
8. [8] N. Evans, C.V. Johnson and A.D. Shapere, Orientifolds, branes, and duality of 4D gauge theories, hep-th/9703210.
9. [9] J.H. Brodie and A. Hanany, Type IIA superstrings, chiral symmetry, and N = 1 4D gauge theory dualities, hep-th/9704043.
10. [10] A. Brandhuber, J. Sonnenschein, S. Theisen and S. Yankielowicz, Brane configurations and 4D field theory dualities, hep-th/9704044.
11. [11] S. Elitzur, A. Giveon, D. Kutasov, E. Rabinovici and A. Schwimmer, Brane dynamics and N = 1 supersymmetric gauge theory, hep-th/9704104.
12. [12] O. Aharony and A. Hanany, Branes, superpotentials and superconformal fixed points, hep-th/9704170.
13. [13] R. Tatar, Dualities in 4D theories with product gauge groups from brane configurations, hep-th/9704198.
14. [14] I. Brunner and A. Karch Branes and six-dimensional fixed points, hep-th/9705022.
15. [15] C. Ahn and R. Tatar, Geometry, D-branes and JV = 1 duality in four dimensions with product gauge group, hep-th/9705106.
16. [16] A. Hanany and A. Zaffaroni, Chiral symmetry from type IIA branes, hep-th/9706047.
17. [17] C. Ahn, K. Oh and R. Tatar, Branes, geometry and N = 1 duality with product gauge groups of SO and Sp, hep-th/9707027.
18. [18] N. Evans, Softly broken SQCD: in the continuum, on the lattice, on the brane, talk presented at SUSY 97, hep-th/9707197.
19. [19] E. Witten, Solutions of four-dimensional field theories via M theory, hep-th/9703166.
20. [20] B, Kol, 5d field theories and M theory, hep-th/9705031.
21. [21] K. Landsteiner, E. Lopez and D.A. Lowe, N = 2 supersymmetric gauge theories, branes and orientifolds, hep-th/9705199.
22. [22] A. Brandhuber, J. Sonnenschein, S. Theisen and S. Yankielowicz, M theory and Seiberg-Witten curves: orthogonal and symplectic groups, hep-th/9705232.
23. [23] A. Marshakov, M. Martellini and A. Morozov, Insights and puzzles from branes: 4d SUSY Yang-Mills from 6d models, hep-th/9706050.
24. [24] A. Fayyazuddin and M. Spalinski, The Seiberg-Witten differential from M-theory, hep-th/9706087.
25. [25] K. Hori, H. Ooguri and Y. Oz, Strong coupling dynamics of four-dimensional N = 1 gauge theories from M theory fivebrane, hep-th/9706082.
26. [26] E. Witten, Branes and the dynamics of QCD, hep-th/9706109.
27. [27] A. Brandhuber, N. Itzhaki, V. Kaplunovsky, J. Sonnenschein and S. Yankielowicz, Comments on the M theory approach to N = 1 SQCD and brane dynamics, hep-th/9706127.
28. [28] C.V. Johnson, From M-theory to F-theory, with branes, hep-th/9706155.
29. [29] A. Hanany and K. Hori, Branes and N = 2 theories in two dimensions, hep-th/9707192.
30. [30] A. Hanany, M.J. StrassLer and A. Zaffaroni, Confinement and strings in MQCD, hep-th/9707244.
31. [31] S. Nam, K. Oh and S.-J. Sin, Superpotentials of N = 1 supersymmetric gauge theories from M-theory, hep-th/9707247.
32. [32] M. Henningson and P. Yi, Four-dimensional BPS-spectra via M-theory, hep-th/9707251.
33. [33] T. Nakatsu, K. Ohta, T. Yokono and Y. Yoshida, Higgs branch of N = 2 SQCD and M theory branes, hep-th/9707258.
34. [34] M. Schmaltz and R. Sundrum, N = 1 field theory duality from M-theory, hep-th/9708015.
35. [35] J. de Boer and Y. Oz, Monopole condensation and confining phase of N = 1 gauge theories via M theory fivebrane, hep-th/9708044.
36. [36] A. Mikhailov, BPS stales and minimal surfaces, hep-th/9708068.
37. [37] C. Csaki and W. Skiba, Duality in Sp and SO gauge groups from M theory, hep-th/9708082.
38. [38] K. Landsteiner and E. Lopez, New curves from branes, hep-th/9708118.
39. [39] N. Evans and M. Schwetz, The field theory of non-supersymmetric brane configurations, hep-th/9708122.
40. c) gauge theories and M theory fivebrane, hep-th/9708127.
41. [41] N. Seiberg and E. Witten, Monopole condensation and confinement in N = 2 supersymmetric Yang-Mills theory, hep-th/9407087, Nucl. Phys. B 426 (1994) 19; Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD, hep-th/9408099, Nucl. Phys. B 431 (1994) 484.
42. [41] N. Seiberg and E. Witten, Monopole condensation and confinement in N = 2 supersymmetric Yang-Mills theory, hep-th/9407087, Nucl. Phys. B 426 (1994) 19; Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD, hep-th/9408099, Nucl. Phys. B 431 (1994) 484.
43. C) gauge theories, hep-th/9505075, Nucl. Phys. B 452 (1995) 283.
44. [43] P.C. Argyres, M.R. Plesser and A. Shapere, The Coulomb phase of N = 2 supersymmetric QCD, hep-th/9505100, Phys. Rev. Lett. 75 (1995) 1699.
45. [44] J.A. Minahan and D. Nemeschansky, Hyperelliptic curves for supersymmetric Yang-Mills, hep-th/9507032, Nucl. Phys. B 464 (1996) 3.
46. [45] A. Hanany, On the quantum moduli space of vacua of N = 2 supersymmetric gauge theories, hep-th/9509176, Nucl. Phys. B 466 (1996) 85.
47. [46] P.C. Argyres and A.D. Shapere, The vacuum structure of N = 2 super-QCD with classical gauge groups, hep-th/9509175, Nucl. Phys. B 461 (1996) 437.
48. C) gauge theories, hep-th/9503179, Nucl. Phys. B 444 (1995) 125.
49. C) gauge theories, hep-th/9503179, Nucl. Phys. B 444 (1995) 125.
50. [48] S. Elitzur, A. Forge, A. Giveon and E. Rabinovici, More results in N = 1 supersymmetric gauge theories, hep-th/9504080, Phys. Lett. B 353 (1995) 79; Effective potentials and vacuum structure in N = 1 supersymmetric gauge theories, hep-th/9509130, Nucl. Phys. B 459 (1996) 160; Summary of results in N = 1 supersymmetric SU(2) gauge theories, hep-th/9512140, Nucl. Phys. B (Proc. Suppl.) 49 (1996) 174.
51. [48] S. Elitzur, A. Forge, A. Giveon and E. Rabinovici, More results in N = 1 supersymmetric gauge theories, hep-th/9504080, Phys. Lett. B 353 (1995) 79; Effective potentials and vacuum structure in N = 1 supersymmetric gauge theories, hep-th/9509130, Nucl. Phys. B 459 (1996) 160; Summary of results in N = 1 supersymmetric SU(2) gauge theories, hep-th/9512140, Nucl. Phys. B (Proc. Suppl.) 49 (1996) 174.
52. [48] S. Elitzur, A. Forge, A. Giveon and E. Rabinovici, More results in N = 1 supersymmetric gauge theories, hep-th/9504080, Phys. Lett. B 353 (1995) 79; Effective potentials and vacuum structure in N = 1 supersymmetric gauge theories, hep-th/9509130, Nucl. Phys. B 459 (1996) 160; Summary of results in N = 1 supersymmetric SU(2) gauge theories, hep-th/9512140, Nucl. Phys. B (Proc. Suppl.) 49 (1996) 174.
53. [49] S. Elitzur, A. Forge, A. Giveon, K. Intriligator and E. Rabinovici, Massless monopoles via confining phase superpotentials, hep-th/9603051, Phys. Lett. B 379 (1996) 121.
54. [50] A. Kapustin, The Coulomb branch of N = 1 supersymmetric gauge theory with adjoint and fundamental matter, hep-th/9611049, Phys. Lett. B 398 (1997) 104.
55. [51] T. Kitao, S. Terashima and S.-K. Yang, N = 2 curves and a coulomb phase in N = 1 SUSY gauge theories with adjoint and fundamental matters, hep-th/9701009, Phys. Lett. B 399 (1997) 75.
56. [52] A. Giveon, O. Pelc and E. Rabinovici, The Coulomb phase in N = 1 gauge theories with a LG-type superpotential, hep-th/9701045, Nucl. Phys. B 499 (1997) 100.
57. [53] C. Csaki, J. Erlich, D. Freedman and W. Skiba, N = 1 supersymmetric product group theories in the Coulomb phase, hep-th/9704067.
58. C) gauge theories, hep-th/9707071.
59. [55] P.C. Argyres, M.R. Plesser and N. Seiberg, The moduli space of N = 2 SUSY QCD and duality in N = 1 SUSY QCD, hep-th/9603042, Nucl. Phys. B 471 (1996) 159.
60. [56] M.A. Luty and W. Taylor IV, Varieties of vacua in classical supersymmetric gauge theories, hep-th/9506098, Phys. Rev. D 53 (1996) 3399.
61. [57] N. Seiberg, Electric-magnetic duality in supersymmetric non-Abelian gauge theories, hep-th/9411149, Nucl. Phys. B 435 (1995) 129.
62. [58] M. Berkooz, M.R. Douglas and R.G. Leigh, Branes intersecting at angles, hep-th/9606139, Nucl. Phys. B 480 (1996) 265.
63. [59] K. Becker, M. Becker and A. Strominger, Fivebranes, membranes and non-Perturbative string theory, hep-th/9507158, Nucl. Phys. B 456 (1995) 130.
64. [60] K. Becker, M. Becker, D.R. Morrison, H. Ooguri, Y. Oz and Z. Yin, Supersymmetric cycles in exceptional holonomy manifolds and Calabi-Yau 4-folds, hep-th/9608116, Nucl. Phys. B 480 (1996) 225.
65. [61] E. Verlinde, Global aspects of electric-magnetic duality, hep-th/9506011, Nucl. Phys. B 455 (1995) 211.
66. [62] See, for example, P.A. Griffiths, Introduction to Algebraic Curves (English Translation) (American Mathematical Society, Providence, 1989).
67. [63] For a review, see for example: K. Intriligator and N. Seiberg, Lectures on supersymmetric gauge theories and electric-magnetic duality, hep-th/9509066, Nucl. Phys. B (Proc. Suppl.) 45BC (1996) 1, and references therein.
68. [64] J. Lykken, E. Poppitz and S.P. Trivedi, Chiral gauge theories from D-branes, hep-th/9708134.