Softly-broken N = 4 supersymmetry in the large-N limit

Journal of High Energy Physics

Volumn 4, Issue 2, 2000, Pages 1-19

  Dorey, Nick ^a   Kumar, S Prem ^b  

^a SWANSEA UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF WASHINGTON   (United States)

Author keywords

1 N Expansion; Confinement; Extended Supersymmetry; Supersymmetry and Duality

Indexed keywords

EID: 0007167097     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (41)

1. J. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200]; S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109]; E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150]; O. Aharony, S.S. Gubser, J. Maldacena, H. Ooguri and Y. Oz, large-N field theories, string theory and gravity, hep-th/9905111.
2. J. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200]; S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109]; E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150]; O. Aharony, S.S. Gubser, J. Maldacena, H. Ooguri and Y. Oz, large-N field theories, string theory and gravity, hep-th/9905111.
3. J. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200]; S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109]; E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150]; O. Aharony, S.S. Gubser, J. Maldacena, H. Ooguri and Y. Oz, large-N field theories, string theory and gravity, hep-th/9905111.
4. J. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200]; S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109]; E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150]; O. Aharony, S.S. Gubser, J. Maldacena, H. Ooguri and Y. Oz, large-N field theories, string theory and gravity, hep-th/9905111.
5. L. Girardello, M. Petrini, M. Porrati and A. Zaffaroni, Novel local CFT and exact results on perturbations of N = 4 super Yang-Mills from AdS dynamics, J. High Energy Phys. 12 (1998) 022 [hep-th/9810126]; J. Distler and F. Zamora, Non-super symmetric conformal field theories from stable anti-de Sitter spaces, Adv. Theor. Math. Phys. 2 (1999) 1405 [hep-th/9810206]; A. Khavaev, K. Pilch and N.P. Warner, New vacua of gauged N = 8 supergravity in five dimensions, hep-th/9812035.
6. L. Girardello, M. Petrini, M. Porrati and A. Zaffaroni, Novel local CFT and exact results on perturbations of N = 4 super Yang-Mills from AdS dynamics, J. High Energy Phys. 12 (1998) 022 [hep-th/9810126]; J. Distler and F. Zamora, Non-super symmetric conformal field theories from stable anti-de Sitter spaces, Adv. Theor. Math. Phys. 2 (1999) 1405 [hep-th/9810206]; A. Khavaev, K. Pilch and N.P. Warner, New vacua of gauged N = 8 supergravity in five dimensions, hep-th/9812035.
7. L. Girardello, M. Petrini, M. Porrati and A. Zaffaroni, Novel local CFT and exact results on perturbations of N = 4 super Yang-Mills from AdS dynamics, J. High Energy Phys. 12 (1998) 022 [hep-th/9810126]; J. Distler and F. Zamora, Non-super symmetric conformal field theories from stable anti-de Sitter spaces, Adv. Theor. Math. Phys. 2 (1999) 1405 [hep-th/9810206]; A. Khavaev, K. Pilch and N.P. Warner, New vacua of gauged N = 8 supergravity in five dimensions, hep-th/9812035.
8. L. Girardello, M. Petrini, M. Porrati and A. Zaffaroni, Confinement and condensates without fine tuning in supergravity duals of gauge theories, J. High Energy Phys. 05 (1999) 026 [hep-th/9903026].
9. L. Girardello, M. Petrini, M. Porrati and A. Zaffaroni, The supergravity dual of N = 1 super Yang-Mills theory, hep-th/9909047.
10. 4 correspondence on the Coulomb branch, Phys. Lett. B 462 (1999) 74 [hep-th/9906224].
11. 4 correspondence on the Coulomb branch, Phys. Lett. B 462 (1999) 74 [hep-th/9906224].
12. 4 correspondence on the Coulomb branch, Phys. Lett. B 462 (1999) 74 [hep-th/9906224].
13. S. Lee, S. Minwalla, M. Rangamani and N. Seiberg, Three-point functions of chiral operators in D = 4, N = 4 SYM at large-N, Adv. Theor. Math. Phys. 2 (1998) 697 [hep-th/9806074]; E. D'Hoker, D.Z. Freedman and W. Skiba, Field theory tests for correlators in the AdS/CFT correspondence, Phys. Rev. D 59 (1999) 045008 [hep-th/9807098].
14. S. Lee, S. Minwalla, M. Rangamani and N. Seiberg, Three-point functions of chiral operators in D = 4, N = 4 SYM at large-N, Adv. Theor. Math. Phys. 2 (1998) 697 [hep-th/9806074]; E. D'Hoker, D.Z. Freedman and W. Skiba, Field theory tests for correlators in the AdS/CFT correspondence, Phys. Rev. D 59 (1999) 045008 [hep-th/9807098].
15. N. Dorey, T.J. Hollowood, V.V. Khoze, M.P. Mattis and S. Vandoren, Multi-instanton calculus and the AdS/CFT correspondence in N = 4 superconformal field theory, Nucl. Phys. B 552 (1999) 88 [hep-th/9901128].
16. N. Seiberg, Naturalness versus supersymmetric nonrenormalization theorems, Phys. Lett. B 318 (1993) 469 [hep-ph/9309335].
17. G. Dvali and M. Shifman, Domain walls in strongly coupled theories, Phys. Lett. B 396 (1997) 64 [hep-th/9612128]; A. Kovner, M. Shifman and A. Smilga, Domain walls in supersymmetric Yang-Mills theories, Phys. Rev. D 56 (1997) 7978 [hep-th/9706089]; B. Chibisov and M. Shifman, BPS-saturated walls in supersymmetric theories, Phys. Rev. D 56 (1997) 7990 [hep-th/9706141].
18. G. Dvali and M. Shifman, Domain walls in strongly coupled theories, Phys. Lett. B 396 (1997) 64 [hep-th/9612128]; A. Kovner, M. Shifman and A. Smilga, Domain walls in supersymmetric Yang-Mills theories, Phys. Rev. D 56 (1997) 7978 [hep-th/9706089]; B. Chibisov and M. Shifman, BPS-saturated walls in supersymmetric theories, Phys. Rev. D 56 (1997) 7990 [hep-th/9706141].
19. G. Dvali and M. Shifman, Domain walls in strongly coupled theories, Phys. Lett. B 396 (1997) 64 [hep-th/9612128]; A. Kovner, M. Shifman and A. Smilga, Domain walls in supersymmetric Yang-Mills theories, Phys. Rev. D 56 (1997) 7978 [hep-th/9706089]; B. Chibisov and M. Shifman, BPS-saturated walls in supersymmetric theories, Phys. Rev. D 56 (1997) 7990 [hep-th/9706141].
20. N. Dorey, An elliptic superpotential for softly broken N = 4 supersymmetric Yang-Mills theory, J. High Energy Phys. 07 (1999) 021 [hep-th/9906011].
21. R. Gopakumar and M.B. Green, Instantons and non-renormalisation in AdS/CFT, J. High Energy Phys. 12 (1999) 015 [hep-th/9908020].
22. 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].
23. C. Vafa and E. Witten, A strong coupling test of s duality, Nucl. Phys. B 431 (1994) 3 [hep-th/9408074].
24. V.A. Novikov, M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, Supersymmetric instanton calculus: gauge theories with matter, Nucl. Phys. B 260 (1985) 157; D. Amati, K. Konishi, Y. Meurice, G.C. Rossi and G. Veneziano, Nonperturbative aspects in supersymmetric gauge theories, Phys. Rep. 162 (1988) 169.
25. V.A. Novikov, M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, Supersymmetric instanton calculus: gauge theories with matter, Nucl. Phys. B 260 (1985) 157; D. Amati, K. Konishi, Y. Meurice, G.C. Rossi and G. Veneziano, Nonperturbative aspects in supersymmetric gauge theories, Phys. Rep. 162 (1988) 169.
26. N. Koblitz, Introduction to elliptic curves and modular forms, Springer-Verlag, New York 1984.
27. K. Lee and P. Yi, Monopoles and instantons on partially compactified D-branes, Phys. Rev. D 56 (1997) 3711 [hep-th/9702107].
28. N.M. Davies, T.J. Hollowood, V.V. Khoze and M.P. Mattis, Gluino condensate and magnetic monopoles in supersymmetric gluodynamics, Nucl. Phys. B 559 (1999) 123 [hep-th/9905015].
29. P. van Baal, Instantons versus monopoles, hep-th/9912035.
30. N. Dorey, V.V. Khoze and M.P. Mattis, On mass-deformed N = 4 supersymmetric Yang-Mills theory, Phys. Lett. B 396 (1997) 141 [hep-th/9612231].
31. R. Donagi and E. Witten, Supersymmetric Yang-Mills theory and integrable systems, Nucl. Phys. B 460 (1996) 299 [hep-th/9510101].
32. E. Witten, Branes and the dynamics of QCD, Nucl. Phys. B 507 (1997) 658 [hep-th/9706109].
33. G. 't Hooft, A planar diagram theory for strong interactions, Nucl. Phys. B 72 (1974) 461.
34. V. Balasubramanian, P. Kraus and A. Lawrence, Bulk vs. boundary dynamics in anti-de Sitter spacetime, Phys. Rev. D 59 (1999) 046003 [hep-th/9805171].
35. I.R. Klebanov and E. Witten, AdS/CFT correspondence and symmetry breaking, Nucl. Phys. B 556 (1999) 89 [hep-th/9905104].
36. M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa, Holomorphic anomalies in topological field theories, Nucl. Phys. B 405 (1993) 279 [hep-th/9302103].
37. E. Witten, Instantons, the quark model and the 1/N expansion, Nucl. Phys. B 149 (1979) 285.
38. N. Dorey and S. P. Kumar, work in preparation.
39. A. Gorsky, I. Krichever, A. Marshakov, A. Mironov and A. Morozov, Integrability and Seiberg-Witten exact solution, Phys. Lett. B 355 (1995) 466 [hep-th/9505035].
40. E. Martinec and N. Warner, Integrable systems and supersymmetric gauge theory, Nucl. Phys. B 459 (1996) 97 [hep-th/9509161]; E.J. Martinec, Integrable structures in supersymmetric gauge and string theory, Phys. Lett. B 367 (1996) 91 [hep-th/9510204].
41. E. Martinec and N. Warner, Integrable systems and supersymmetric gauge theory, Nucl. Phys. B 459 (1996) 97 [hep-th/9509161]; E.J. Martinec, Integrable structures in supersymmetric gauge and string theory, Phys. Lett. B 367 (1996) 91 [hep-th/9510204].