Conformal invariance in the Leigh-Strassler deformed N=4 SYM theory

Journal of High Energy Physics

Volumn 2008, Issue 4, 2008, Pages

  Bork, L V ^a,b   Kazakov, D I ^a,c   Vartanov, G S ^c,d   Zhiboedov, A V ^c,e  

^a INSTITUTE FOR THEORETICAL AND EXPERIMENTAL PHYSICS   (Russian Federation)

^b NATIONAL RESEARCH NUCLEAR UNIVERSITY MEPHI   (Russian Federation)

^c JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

^d JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

^e MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

AdS CFT correspondence; Renormalization group; Supersymmetric gauge theory

Indexed keywords

EID: 44449146898     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2008/04/003     Document Type: Article

References (63)

1. M. Bershadsky, Z. Kakushadze and C. Vafa, String expansion as large-N expansion of gauge theories 1998 Nucl. Phys. B 523 59 [hep-th/9803076]
2. M. Bershadsky and A. Johansen, Large-N limit of orbifold field theories 1998 Nucl. Phys. B 536 141 [hep-th/9803249]
3. A. Armoni, M. Shifman and G. Veneziano, Exact results in non-supersymmetric large-N orientifold field theories 2003 Nucl. Phys. B 667 170 [hep-th/0302163]
4. A. Armoni, M. Shifman and G. Veneziano, From super-Yang-Mills theory to QCD: planar equivalence and its implications [hep-th/0403071]
5. R.G. Leigh and M.J. Strassler, Exactly marginal operators and duality in four-dimensional N = 1 supersymmetric gauge theory 1995 Nucl. Phys. B 447 95 [hep-th/9503121]
6. J.A. Minahan and K. Zarembo, The Bethe-ansatz for N = 4 super Yang-Mills 2003 J. High Energy Phys. JHEP03(2003)013 [hep-th/0212208]
7. N. Beisert, C. Kristjansen and M. Staudacher, The dilatation operator of N = 4 super Yang-Mills theory 2003 Nucl. Phys. B 664 131 [hep-th/0303060]
8. N. Beisert and M. Staudacher, The N = 4 SYM integrable super spin chain 2003 Nucl. Phys. B 670 439 [hep-th/0307042]
9. N. Beisert, The SU(2|3) dynamic spin chain, 2004 Nucl. Phys. B 682 487 [hep-th/0310252]
10. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity 1998 Adv. Theor. Math. Phys. 2 231 [1999 Int. J. Theor. Phys. 38 1113 ] [hep-th/9711200]
11. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory 1998 Phys. Lett. B 428 105 [hep-th/9802109]
12. E. Witten, Anti-de Sitter space and holography 1998 Adv. Theor. Math. Phys. 2 253 [hep-th/9802150]
13. S.A. Frolov, R. Roiban and A.A. Tseytlin, Gauge-string duality for superconformal deformations of N = 4 super Yang-Mills theory 2005 J. High Energy Phys. JHEP07(2005)045 [hep-th/0503192]
14. S.A. Frolov, R. Roiban and A.A. Tseytlin, Gauge-string duality for (non)supersymmetric deformations of N = 4 super Yang-Mills theory 2005 Nucl. Phys. B 731 1 [hep-th/0507021]
15. C.-S. Chu and V.V. Khoze, String theory dual of the beta-deformed gauge theory 2006 J. High Energy Phys. JHEP07(2006)011 [hep-th/0603207]
16. S. Mandelstam, Light cone superspace and the ultraviolet finiteness of the N = 4 model 1983 Nucl. Phys. B 213 149
17. P.S. Howe, K.S. Stelle and P.K. Townsend, Miraculous ultraviolet cancellations in supersymmetry made manifest 1984 Nucl. Phys. B 236 125
18. O. Lunin and J.M. Maldacena, Deforming field theories with U(1) × U(1) global symmetry and their gravity duals, 2005 J. High Energy Phys. JHEP05(2005)033 [hep-th/0502086]
19. M. Kulaxizi, Marginal deformations of N = 4 SYM and open vs. closed string parameters [hep-th/0612160]
20. M. Kulaxizi, On β-deformations and noncommutativity [hep-th/0610310]
21. 5 2002 J. High Energy Phys. JHEP06(2002)039 [hep-th/0205090]
22. 5 [hep-th/0204056]
23. D.Z. Freedman and U. Gursoy, Comments on the β-deformed N = 4 SYM theory 2005 J. High Energy Phys. JHEP11(2005)042 [hep-th/0506128]
24. S. Penati, A. Santambrogio and D. Zanon, Two-point correlators in the β-deformed N = 4 SYM at the next-to-leading order 2005 J. High Energy Phys. JHEP10(2005)023 [hep-th/0506150]
25. A. Mauri, S. Penati, A. Santambrogio and D. Zanon, Exact results in planar N = 1 superconformal Yang-Mills theory 2005 J. High Energy Phys. JHEP11(2005)024 [hep-th/0507282]
26. F. Elmetti, A. Mauri, S. Penati and A. Santambrogio, Conformal invariance of the planar β-deformed N = 4 SYM theory requires β real 2007 J. High Energy Phys. JHEP01(2007)026 [hep-th/0606125]
27. F. Elmetti, A. Mauri, S. Penati, A. Santambrogio and D. Zanon, Real versus complex β-deformation of the N = 4 planar super Yang-Mills theory 2007 J. High Energy Phys. JHEP10(2007)102 [0705.1483]
28. G.C. Rossi, E. Sokatchev and Y.S. Stanev, New results in the deformed N = 4 SYM theory 2005 Nucl. Phys. B 729 581 [hep-th/0507113]
29. G.C. Rossi, E. Sokatchev and Y.S. Stanev, On the all-order perturbative finiteness of the deformed N = 4 SYM theory 2006 Nucl. Phys. B 754 329 [hep-th/0606284]
30. A. Mauri, S. Penati, M. Pirrone, A. Santambrogio and D. Zanon, On the perturbative chiral ring for marginally deformed N = 4 SYM theories 2006 J. High Energy Phys. JHEP08(2006)072 [hep-th/0605145]
31. D.I. Kazakov and L.V. Bork, Conformal invariance = finiteness and beta deformed N = 4 SYM theory 2007 J. High Energy Phys. JHEP08(2007)071 [0706.4245]
32. F. Elmetti, A. Mauri and M. Pirrone, Conformal invariance and finiteness theorems for non-planar beta-deformed N = 4 SYM theory [0710.4864]
33. S.S. Razamat, Marginal deformations of N = 4 SYM and of its supersymmetric orbifold descendants [hep-th/0204043]
34. O. Aharony and S.S. Razamat, Exactly marginal deformations of N = 4 SYM and of its supersymmetric orbifold descendants 2002 J. High Energy Phys. JHEP05(2002)029 [hep-th/0204045]
35. V. Niarchos and N. Prezas, BMN operators for N = 1 superconformal Yang-Mills theories and associated string backgrounds 2003 J. High Energy Phys. JHEP06(2003)015 [hep-th/0212111]
36. K. Madhu and S. Govindarajan, A note on perturbative aspects of Leigh-Strassler deformed N = 4 SYM theory [0710.5589]
37. A.J. Parkes, Three loop finiteness conditions in N = 1 super Yang-Mills 1985 Phys. Lett. B 156 73
38. A.J. Parkes and P.C. West, Three loop results in two loop finite supersymmetric gauge theories 1985 Nucl. Phys. B 256 340
39. I. Jack, D.R.T. Jones and C.G. North, N = 1 supersymmetry and the three loop anomalous dimension for the chiral superfield 1996 Nucl. Phys. B 473 308 [hep-ph/9603386]
40. M.T. Grisaru and W. Siegel, Supergraphity. 2. Manifestly covariant rules and higher loop finiteness 1982 Nucl. Phys. B 201 292 [Erratum 1982 Nucl. Phys. 206 496]
41. M.T. Grisaru, W. Siegel and M. Rocek, Improved methods for supergraphs 1979 Nucl. Phys. B 159 429
42. V.A. Novikov, M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, Exact Gell-Mann-Low function of supersymmetric Yang-Mills theories from instanton calculus 1983 Nucl. Phys. B 229 381
43. V.A. Novikov, M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, Instantons and exact Gell-Mann-Low function of supersymmetric O(3) sigma model, 1984 Phys. Lett. B 139 389
44. M.A. Shifman and A.I. Vainshtein, Solution of the anomaly puzzle in SUSY gauge theories and the Wilson operator expansion 1986 Nucl. Phys. B 277 456 [1986 Sov. Phys. JETP 64 428 ] [1986 Zh. Eksp. Teor. Fiz. 91 723 ]
45. A.V. Ermushev, D.I. Kazakov and O.V. Tarasov, Construction of finite N=1 supersymmetric Yang-Mills theories preprint JINR E2-85-794, Dubna (1985)
46. A.V. Ermushev, D.I. Kazakov and O.V. Tarasov, Finite N = 1 supersymmetric grand unified theories 1987 Nucl. Phys. B 281 72
47. D.R.T. Jones, Coupling constant reparametrization and finite field theories 1986 Nucl. Phys. B 277 153
48. R. Oehme, Reduction and reparametrization of quantum field theories 1986 Prog. Theor. Phys. Suppl. 86 215
49. C. Lucchesi, O. Piguet and K. Sibold, Vanishing β-functions in N = 1 supersymmetric gauge theories 1988 Helv. Phys. Acta 61 321
50. C. Lucchesi, O. Piguet and K. Sibold, Necessary and sufficient conditions for all order vanishing β-functions in supersymmetric Yang-mills theories 1988 Phys. Lett. B 201 241
51. X.-D. Jiang and X.-j. Zhou, A criterion for existence of finite to all orders N = 1 SYM theories 1990 Phys. Rev. D 42 2109
52. L.V. Avdeev and A.A. Vladimirov, Dimensional regularization and supersymmetry 1983 Nucl. Phys. B 219 262
53. D.I. Kazakov, Finite N = 1 SUSY field theories and dimensional regularization 1986 Phys. Lett. B 179 352
54. D.I. Kazakov, Finite N = 1 SUSY gauge field theories 1987 Mod. Phys. Lett. A 2 663
55. A.F. Ferrari, on-line at http://fma.if.usp.br/ alysson/SusyMath.
56. See http://www.feyncalc.org/
57. D. Berenstein, V. Jejjala and R.G. Leigh, Marginal and relevant deformations of N = 4 field theories and non-commutative moduli spaces of vacua 2000 Nucl. Phys. B 589 196 [hep-th/0005087]
58. P.H. Ginsparg, S.L. Glashow and M.B. Wise, Top quark mass and bottom quark decay 1983 Phys. Rev. Lett. 50 1415
59. L.-L. Chau and W.-Y. Keung, Comments on the parametrization of the Kobayashi-Maskawa matrix 1984 Phys. Rev. Lett. 53 1802
60. V.V. Khoze, Amplitudes in the beta-deformed conformal Yang-Mills 2006 J. High Energy Phys. JHEP02(2006)040 [hep-th/0512194]
61. D. Bundzik and T. Mansson, The general Leigh-Strassler deformation and integrability 2006 J. High Energy Phys. JHEP01(2006)116 [hep-th/0512093]
62. T. Mansson, The Leigh-Strassler deformation and the quest for integrability 2007 J. High Energy Phys. JHEP06(2007)010 [hep-th/0703150]
63. N. Beisert and R. Roiban, Beauty and the twist: the Bethe ansatz for twisted N = 4 SYM 2005 J. High Energy Phys. JHEP08(2005)039 [hep-th/0505187]