Yangians in deformed super Yang-Mills theories

Journal of High Energy Physics

Volumn 2008, Issue 4, 2008, Pages

  Ihry, Jay N ^a  

^a UNIVERSITY OF NORTH CAROLINA   (United States)

Author keywords

AdS CFT correspondence; Duality in gauge field theories; Extended supersymmetry; Integrable field theories

Indexed keywords

EID: 44449093700     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2008/04/051     Document Type: Article

References (34)

1. 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]
2. 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]
3. S. Frolov, Lax pair for strings in Lunin-Maldacena background 2005 J. High Energy Phys. JHEP05(2005)069 [hep-th/0503201]
4. R. Roiban, On spin chains and field theories 2004 J. High Energy Phys. JHEP09(2004)023 [hep-th/0312218]
5. 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]
6. D. Berenstein and S.A. Cherkis, Deformations of N = 4 SYM and integrable spin chain models 2004 Nucl. Phys. B 702 49 [hep-th/0405215]
7. 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]
8. V.V. Khoze, Amplitudes in the beta-deformed conformal Yang-Mills 2006 J. High Energy Phys. JHEP02(2006)040 [hep-th/0512194]
9. 5 2006 J. High Energy Phys. JHEP09(2006)005 [hep-th/0606111]
10. S. Penati, A. Santambrogio and D. Zanon, Two-point correlators in the beta-deformed N = 4 SYM at the next-to-leading order 2005 J. High Energy Phys. JHEP10(2005)023 [hep-th/0506150]
11. 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]
12. 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]
13. F. Elmetti, A. Mauri, S. Penati and A. Santambrogio, Conformal invariance of the planar beta-deformed N = 4 SYM theory requires beta real 2007 J. High Energy Phys. JHEP01(2007)026 [hep-th/0606125]
14. 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]
15. F. Elmetti, A. Mauri and M. Pirrone, Conformal invariance and finiteness theorems for non-planar beta-deformed N = 4 SYM theory [0710.4864]
16. 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]
17. D. Bundzik and T. Mansson, The general Leigh-Strassler deformation and integrability 2006 J. High Energy Phys. JHEP01(2006)116 [hep-th/0512093]
18. T. Mansson, The Leigh-Strassler deformation and the quest for integrability 2007 J. High Energy Phys. JHEP06(2007)010 [hep-th/0703150]
19. A. Agarwal, Open spin chains in super Yang-Mills at higher loops: some potential problems with integrability 2006 J. High Energy Phys. JHEP08(2006)027 [hep-th/0603067]
20. A. Agarwal, Aspects of integrability in N = 4 SYM 2007 Mod. Phys. Lett. A 22 2549 [0708.2747]
21. N. Beisert and D. Erkal, Yangian symmetry of Long-Range GL(N) integrable spin chains, 2008 J. Stat. Mech. P03030 [0711.4813]
22. N. Beisert, The complete one-loop dilatation operator of N = 4 super Yang-Mills theory 2004 Nucl. Phys. B 676 3 [hep-th/0307015]
23. N. Beisert, The SU(2|3) dynamic spin chain, 2004 Nucl. Phys. B 682 487 [hep-th/0310252]
24. B.I. Zwiebel, Yangian symmetry at two-loops for the SU(2|1) sector of N = 4 SYM, 2007 J. Phys. A: Math. Gen. 40 1141 [hep-th/0610283]
25. N. Beisert and B.I. Zwiebel, On symmetry enhancement in the PSU(1,1|2) sector of N = 4 SYM 2007 J. High Energy Phys. JHEP10(2007)031 [0707.1031]
26. L. Dolan, C.R. Nappi and E. Witten, A relation between approaches to integrability in superconformal Yang-Mills theory 2003 J. High Energy Phys. JHEP10(2003)017 [hep-th/0308089]
27. rd international symposium on quantum theory and symmetries (QTS3), Cincinnati, Ohio U.S.A., 10-14 Sep (2003), published in Cincinnati 2003, Quantum Theory and Symmetries [hep-th/0401243]
28. L Dolan and C.R. Nappi, Spin models and superconformal Yang-Mills theory 2005 Nucl. Phys. B 717 36 [hep-th/0411020]
29. N. Reshetikhin, Multiparameter quantum groups and twisted quasitriangular Hopf algebras 1990 Lett. Math. Phys. 20 331
30. B. Basu-Mallick and P. Ramadevi, Construction of yangian algebra through a multideformation parameter dependent rational R matrix 1996 Phys. Lett. A 211 339 [hep-th/9409178]
31. V.G. Drinfeld, Quantum groups 1988 J. Sov. Math. 41 898 [1986 Zap. Nauchn. Semin. 155 18 ]
32. V.G. Drinfeld, Hopf algebras and the quantum Yang-Baxter equation 1985 Sov. Math. Dokl. 32 254 [1985 Dokl. Akad. Nauk Ser. Fiz. 283 1060 ]
33. D. Bernard, An introduction to yangian symmetries 1993 Int. J. Mod. Phys. B 7 3517 [hep-th/9211133]
34. N.J. MacKay, Introduction to yangian symmetry in integrable field theory 2005 Int. J. Mod. Phys. A 20 7189 [hep-th/0409183]