S-duality, deconstruction and confinement for a marginal deformation of N = 4 SUSY Yang-Mills

Journal of High Energy Physics

Volumn 8, Issue 8, 2004, Pages 1145-1196

  Dorey, Nick ^a  

^a SWANSEA UNIVERSITY   (United Kingdom)

Author keywords

1 N Expansion; AdS CFT and dS CFT Correspondence; Field Theories in Higher dimensions

Indexed keywords

EID: 23044507112     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2004/08/043     Document Type: Article

References (82)

1. D.V. Uvarov and A.A. Zheltukhin, Quantum brst charge and OSp(1|8) superalgebra of twistor- like p-branes with exotic supersymmetry and Weyl symmetry, hep-th/0406136.
2. J. Polchinski and M.J. Strassler, The string dual of a confining four-dimensional gauge theory, hep-th/0003136.
3. R.G. Leigh and M.J. Strassler, Exactly marginal operators and duality in four-dimensional N = 1 supersymmetric gauge theory, Nucl. Phys. B 447 (1995) 95 [hep-th/9503121].
4. A. Parkes and P.C. West, Finiteness in rigid supersymmetric theories, Phys. Lett. B 138 (1984) 99;
5. P.C. West, The Yukawa beta function in N = 1 rigid supersymmetric theories, Phys. Lett. B 137 (1984) 371;
6. D.R.T. Jones and L. Mezincescu, The Chiral anomaly and a class of two loop finite supersymmetric gauge theories, Phys. Lett. B 138 (1984) 293;
7. S. Hamidi, J. Patera and J.H. Schwarz, Chiral two loop finite supersymmetric theories, Phys. Lett. B 141 (1984) 349;
8. S. Hamidi and J.H. Schwarz, A realistic finite unified theory?, Phys. Lett. B 147 (1984) 301;
9. W. Lucha and H. Neufeld, Finiteness of quantum field theories and supersymmetry, Phys. Lett. B 174 (1986) 186;
10. Finite quantum field theories, Phys. Rev. D 34 (1986) 1089;
11. D.R.T. Jones, Coupling constant reparametrization and finite field theories, Nucl. Phys. B 277 (1986) 153;
12. A.V. Ermushev, D.I. Kazakov and O.V. Tarasov, Finite N = 1 supersymmetric grand unified theories, Nucl. Phys. B 281 (1987) 72;
13. X.-d. Jiang and X.-j. Zhou, A criterion for existence of finite to all orders N = 1 SYM theories, Phys. Rev. D 42 (1990) 2109.
14. M.R. Douglas, D-branes and discrete torsion, hep-th/9807235.
15. M.R. Douglas and B. Fiol, D-branes and discrete torsion, II, hep-th/9903031.
16. D. Berenstein and R.G. Leigh, Discrete torsion, AdS/CFT and duality, J. High Energy Phys. 01 (2000) 038 [hep-th/0001055].
17. D. Berenstein, V. Jejjala and R.G. Leigh, Marginal and relevant deformations of N = 4 field theories and non-commutative moduli spaces of vacua, Nucl. Phys. B 589 (2000) 196 [hep-th/0005087].
18. D. Berenstein, V. Jejjala and R.G. Leigh, Noncommutative moduli spaces and T duality, Phys. Lett. B 493 (2000) 162 [hep-th/0006168].
19. A. Adams and M. Fabinger, Deconstructing noncommutativity with a giant fuzzy moose, J. High Energy Phys. 04 (2002) 006 [hep-th/0111079].
20. O. Aharony and S.S. Razamat, Exactly marginal deformations of N = 4 SYM and of its supersymmetric orbifold descendants, J. High Energy Phys. 05 (2002) 029 [hep-th/0204045].
21. 5, hep-th/0204056.
22. 5, J. High Energy Phys. 06 (2002) 039 [hep-th/0205090].
23. D. Berenstein, Quantum moduli spaces from matrix models, Phys. Lett. B 552 (2003) 255 [hep-th/0210183].
24. N. Dorey, T.J. Hollowood and S.P. Kumar, S-duality of the Leigh-Strassler deformation via matrix models, J. High Energy Phys. 12 (2002) 003 [hep-th/0210239].
25. N. Arkani-Hamed, A.G. Cohen and H. Georgi, (De)constructing dimensions, Phys. Rev. Lett. 86 (2001) 4757 [hep-th/0104005].
26. N. Arkani-Hamed, A.G. Cohen, D.B. Kaplan, A. Karch and L. Motl, Deconstructing (2,0) and little string theories, J. High Energy Phys. 01 (2003) 083 [hep-th/0110146].
27. M.B. Halpern and W. Siegel, Electromagnetism as a strong interaction, Phys. Rev. D 11 (1975) 2967.
28. O.J. Ganor, Six-dimensional tensionless strings in the large-N limit, Nucl. Phys. B 489 (1997) 95 [hep-th/9605201];
29. New perspectives on Yang-Mills theories with sixteen supersymmetries, J. High Energy Phys. 01 (1998) 007 [hep-th/9712071];
30. I. Rothstein and W. Skiba, Mother moose: generating extra dimensions from simple groups at large N, Phys. Rev. D 65 (2002) 065002 [hep-th/0109175].
31. M.A.C. Kneipp, Color superconductivity, Z(N) flux tubes and monopole confinement in deformed N = 2* super Yang-Mills theories, Phys. Rev. D 69 (2004) 045007 [hep-th/0308086].
32. M.F. Sohnius and P.C. West, Conformal invariance in N = 4 supersymmetric Yang-Mills theory, Phys. Lett. B 100 (1981) 245;
33. P.S. Howe, K.S. Stelle and P.K. Townsend, Miraculous ultraviolet cancellations in supersymmetry made manifest, Nucl. Phys. B 236 (1984) 125;
34. L. Brink, O. Lindgren and B.E.W. Nilsson, N = 4 Yang-Mills theory on the light cone, Nucl. Phys. B 212 (1983) 401.
35. C. Montonen and D.I. Olive, Magnetic monopoles as gauge particles?, Phys. Lett. B 72 (1977) 117;
36. H. Osborn, Topological charges for N = 4 super symmetric gauge theories and monopoles of spin 1, Phys. Lett. B 83 (1979) 321.
37. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200].
38. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150].
39. K.A. Intriligator, Bonus symmetries of N = 4 super-Yang-Mills correlation functions via AdS duality, Nucl. Phys. B 551 (1999) 575 [hep-th/9811047].
40. O. Aharony, N. Dorey and S.P. Kumar, New modular invariance in the N = 1* theory, operator mixings and supergravity singularities, J. High Energy Phys. 06 (2000) 026 [hep-th/0006008].
41. C. Vafa and E. Witten, A strong coupling test of S duality, Nucl. Phys. B 431 (1994) 3 [hep-th/9408074].
42. R. Donagi and E. Witten, Supersymmetric Yang-Mills theory and integrable systems, Nucl. Phys. B 460 (1996) 299 [hep-th/9510101].
43. N. Dorey, An elliptic superpotential for softly broken N = 4 supersymmetric Yang-Mills theory, J. High Energy Phys. 07 (1999) 021 [hep-th/9906011].
44. N. Dorey and A. Sinkovics, N = 1 * vacua, fuzzy spheres and integrable systems, J. High Energy Phys. 07 (2002) 032 [hep-th/0205151].
45. R. Dijkgraaf and C. Vafa, A perturbative window into non-perturbative physics, hep-th/0208048.
46. J. Wess and J. Bagger, Supersymmetry and Supergravity, Princeton University Press, Princeton 1992.
47. R. J. Szabo, Quantum field theory on noncommutative spaces, Phys. Rept. 378 (2003) 207 [hep-th/0109162].
48. J. Ambjørn, Y.M. Makeenko, J. Nishimura and R.J. Szabo, Finite n matrix models of noncommutative gauge theory, J. High Energy Phys. 11 (1999) 029 [hep-th/9911041];
49. Nonperturbative dynamics of noncommutative gauge theory, Phys. Lett. B 480 (2000) 399 [hep-th/0002158];
50. Lattice gauge fields and discrete noncommutative Yang-Mills theory, J. High Energy Phys. 05 (2000) 023 [hep-th/0004147].
51. J. Nishimura, S.-J. Rey and F. Sugino, Supersymmetry on the noncommutative lattice, J. High Energy Phys. 02 (2003) 032 [hep-lat/0301025].
52. T. Banks, W. Fischler, S.H. Shenker and L. Susskind, M-theory as a matrix model: a conjecture, Phys. Rev. D 55 (1997) 5112 [hep-th/9610043].
53. T. Banks, N. Seiberg and S.H. Shenker, Branes from matrices, Nucl. Phys. B 490 (1997) 91 [hep-th/9612157];
54. M. Li, Strings from IIB matrices, Nucl. Phys. B 499 (1997) 149 [hep-th/9612222];
55. H. Aoki et al., Noncommutative Yang-Mills in IIB matrix model, Nucl. Phys. B 565 (2000) 176 [hep-th/9908141];
56. I. Bars and D. Minic, Non-commutative geometry on a discrete periodic lattice and gauge theory, Phys. Rev. D 62 (2000) 105018 [hep-th/9910091];
57. Y. Kimura, Noncommutative gauge theories on fuzzy sphere and fuzzy torus from matrix model, Prog. Theor. Phys. 106 (2001) 445 [hep-th/0103192];
58. D. Bigatti, Gauge theory on the fuzzy torus, hep-th/0109018.
59. N. Seiberg, A note on background independence in noncommutative gauge theories, matrix model and tachyon condensation, J. High Energy Phys. 09 (2000) 003 [hep-th/0008013].
60. A. Schwarz, Marita equivalence and duality, Nucl. Phys. B 534 (1998) 720 [hep-th/9805034].
61. L. Alvarez-Gaumé and J.L.F. Barbon, Marita duality and large-N limits, Nucl. Phys. B 623 (2002) 165 [hep-th/0109176].
62. G. 't Hooft, A property of electric and magnetic flux in nonabelian gauge theories, Nucl. Phys. B 153 (1979) 141.
63. A.A. Penin, V.A. Rubakov, P.G. Tinyakov and S.V. Troitsky, What becomes of vortices in theories with flat directions, Phys. Lett. B 389 (1996) 13 [hep-ph/9609257];
64. A. Achucarro, A.C. Davis, M. Pickles and J. Urrestilla, Vortices in theories with flat directions, Phys. Rev. D 66 (2002) 105013 [hep-th/0109097].
65. N. Dorey, T.J. Hollowood, V.V. Khoze and M.P. Mattis, The calculus of many instantons, Phys. Rept. 371 (2002) 231 [hep-th/0206063].
66. A. Kapustin and S. Sethi, The Higgs branch of impurity theories, Adv. Theor. Math. Phys. 2 (1998) 571 [hep-th/9804027].
67. 4 and (2,0) superconformal six dimensional theory, Commun. Math. Phys. 198 (1998) 689 [hep-th/9802068].
68. N.B. Lambert and D. Tong, Dyonic instantons in five-dimensional gauge theories, Phys. Lett. B 462 (1999) 89 [hep-th/9907014].
69. R.C. Myers, Dielectric-branes, J. High Energy Phys. 12 (1999) 022 [hep-th/9910053].
70. S.-J. Rey, Gravitating m(atrix) Q-balls, hep-th/9711081.
71. D. Kabat and I.W. Taylor, Spherical membranes in matrix theory, Adv. Theor. Math. Phys. 2 (1998) 181 [hep-th/9711078];
72. I.W. Taylor, The m(atrix) model of M-theory, hep-th/0002016.
73. N. Seiberg and E. Witten, String theory and noncommutative geometry, J. High Energy Phys. 09 (1999) 032 [hep-th/9908142].
74. 2, Phys. Lett. B 408 (1997) 98 [hep-th/9705221];
75. 5, Phys. Lett. B 408 (1997) 105 [hep-th/9704089].
76. 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.
77. T.J. Hollowood, New results from glueball superpotentials and matrix models: the Leigh-Strassler deformation, J. High Energy Phys. 04 (2003) 025 [hep-th/0212065].
78. M. Alishahiha, Y. Oz and M.M. Sheikh-Jabbari, Supergravity and large-N noncommutative field theories, J. High Energy Phys. 11 (1999) 007 [hep-th/9909215].
79. A. Giveon and D. Kutasov, Little string theory in a double scaling limit, J. High Energy Phys. 10 (1999) 034 [hep-th/9909110];
80. Comments on double scaled little string theory, J. High Energy Phys. 01 (2000) 023 [hep-th/9911039].
81. G. 't Hooft, A planar diagram theory for strong interactions, Nucl. Phys. B 72 (1974) 461.
82. K. Sfetsos, Branes for Higgs phases and exact conformal field theories, J. High Energy Phys. 01 (1999) 015 [hep-th/9811167].