N=4 SYM to two loops: Compact expressions for the non-compact symmetry algebra of the su(1,1|2)( sector

Journal of High Energy Physics

Volumn , Issue 2, 2006, Pages 055-

  Zwiebel, Benjamin I ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

AdS CFT Correspondence; Supersymmetric gauge theory

Indexed keywords

EID: 33644755468     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/02/055     Document Type: Article

References (53)

1. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity 1998 Adv. Theor. Math. Phys. 2 231 [hep-th/9711200]
2. 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]
3. E. Witten, Anti-de Sitter space and holography 1998 Adv. Theor. Math. Phys. 2 253 [hep-th/9802150]
4. D. Berenstein, J.M. Maldacena and H. Nastase, Strings in flat space and pp waves from N ≤ 4 super Yang-Mills 2002 J. High Energy Phys. JHEP04(2002)013 [hep-th/0202021]
5. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, A semi-classical limit of the gauge/string correspondence 2002 Nucl. Phys. B 636 99 [hep-th/0204051]
6. 5 2002 J. High Energy Phys. JHEP06(2002)007 [hep-th/0204226]
7. 5 2003 J. High Energy Phys. JHEP07(2003)016 [hep-th/0306130]
8. N. Beisert, J.A. Minahan, M. Staudacher and K. Zarembo, Stringing spins and spinning strings 2003 J. High Energy Phys. JHEP09(2003)010 [hep-th/0306139]
9. S. Frolov and A.A. Tseytlin, Rotating string solutions: AdS/CFT duality in non-supersymmetric sectors 2003 Phys. Lett. B 570 96 [hep-th/0306143]
10. 5: beyond the pp-wave 2003 Nucl. Phys. B 673 3 [hep-th/0307032]
11. N. Beisert, S. Frolov, M. Staudacher and A.A. Tseytlin, Precision spectroscopy of AdS/CFT 2003 J. High Energy Phys. JHEP10(2003)037 [hep-th/0308117]
12. M. Kruczenski, Spin chains and string theory 2004 Phys. Rev. Lett. 93 161602 [hep-th/0311203]
13. 5 string theory and low energy expansion of ferromagnetic spin chains 2004 Nucl. Phys. B 692 3 [hep-th/0403120]
14. C.G. Callan Jr., T. McLoughlin and I.J. Swanson, Holography beyond the Penrose limit 2004 Nucl. Phys. B 694 115 [hep-th/0404007]
15. A.A. Tseytlin, Spinning strings and AdS/CFT duality in From fields to strings: circumnavigating theoretical physics M. Shifman, A. Vainshtein and J. Wheater eds., 2005 (World Scientific, Singapore) [hep-th/0311139]
16. N. Beisert, Higher-loop integrability in N ≤ 4 gauge theory 2004 Comptes Rendus Physique 5 1039 [hep-th/0409147]
17. A.A. Tseytlin, Semiclassical strings and AdS/CFT in String theory: from gauge interactions to cosmology L. Baulieu, J. de Boer, B. Pioline and E. Rabinovici eds., Springer, Berlin 2005 [hep-th/0409296]
18. K. Zarembo, Semiclassical Bethe ansatz and AdS/CFT 2004 Comptes Rendus Physique 5 1081 [hep-th/0411191]
19. 5 [hep-th/0505028]
20. J. Plefka, Spinning strings and integrable spin chains in the AdS/CFT correspondence [hep-th/0507136]
21. L.N. Lipatov, High-energy asymptotics of multicolor QCD and exactly solvable lattice models [hep-th/9311037]
22. L.N. Lipatov, Evolution equations in QCD in Perspectives in hadronic physics S. Boffi, C. Ciofi Degli Atti and M. Giannini eds., 1998 (World Scientific, Singapore)
23. 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]
24. N. Beisert and M. Staudacher, The N ≤ 4 SYM integrable super spin chain 2003 Nucl. Phys. B 670 439 [hep-th/0307042]
25. 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]
26. N. Beisert, The su(2|3) dynamic spin chain, 2004 Nucl. Phys. B 682 487 [hep-th/0310252]
27. D. Serban and M. Staudacher, Planar N ≤ 4 gauge theory and the Inozemtsev long range spin chain 2004 J. High Energy Phys. JHEP06(2004)001 [hep-th/0401057]
28. N. Beisert, V. Dippel and M. Staudacher, A novel long range spin chain and planar N ≤ 4 super Yang-Mills 2004 J. High Energy Phys. JHEP07(2004)075 [hep-th/0405001]
29. M. Staudacher, The factorized S-matrix of CFT/AdS 2005 J. High Energy Phys. JHEP05(2005)054 [hep-th/0412188]
30. N. Beisert and M. Staudacher, Long-range PSU(2,2|4) Bethe ansaetze for gauge theory and strings, 2005 Nucl. Phys. B 727 1 [hep-th/0504190]
31. N. Beisert, The SU(2|2) dynamic s-matrix, [hep-th/0511082]
32. 5 2002 Phys. Lett. B 543 81 [hep-th/0206103]
33. 5 superstring 2004 Phys. Rev. D 69 046002 [hep-th/0305116]
34. V.A. Kazakov, A. Marshakov, J.A. Minahan and K. Zarembo, Classical/quantum integrability in AdS/CFT 2004 J. High Energy Phys. JHEP05(2004)024 [hep-th/0402207]
35. 5 [hep-th/0502226]
36. G. Arutyunov, S. Frolov and M. Staudacher, Bethe ansatz for quantum strings 2004 J. High Energy Phys. JHEP10(2004)016 [hep-th/0406256]
37. A.V. Belitsky, G.P. Korchemsky and D. Mueller, Integrability of two-loop dilatation operator in gauge theories 2006 Nucl. Phys. B 735 17 [hep-th/0509121]
38. N. Beisert, The complete one-loop dilatation operator of N ≤ 4 super Yang-Mills theory 2004 Nucl. Phys. B 676 3 [hep-th/0307015]
39. N. Beisert, The dilatation operator of N ≤ 4 super Yang-Mills theory and integrability 2005 Phys. Rep. 405 1 [hep-th/0407277]
40. J. Ambjørn, R.A. Janik and C. Kristjansen, Wrapping interactions and a new source of corrections to the spin-chain/string duality 2006 Nucl. Phys. B 736 288 [hep-th/0510171]
41. C. Sieg and A. Torrielli, Wrapping interactions and the genus expansion of the 2-point function of composite operators 2005 Nucl. Phys. B 723 3 [hep-th/0505071]
42. B. Eden and M. Staudacher, to appear
43. A.V. Kotikov, L.N. Lipatov and V.N. Velizhanin, Anomalous dimensions of wilson operators in N ≤ 4 SYM theory 2003 Phys. Lett. B 557 114 [hep-ph/0301021]
44. B. Eden, A two-loop test for the factorised S-matrix of planar N ≤ 4 [hep-th/0501234]
45. N. Beisert, BMN operators and superconformal symmetry 2003 Nucl. Phys. B 659 79 [hep-th/0211032]
46. H. Bethe, On the theory of metals, 1. Eigenvalues and eigenfunctions for the linear atomic chain 1931 Z. Phys. 71 205
47. B. Sutherland, A brief history of the quantum soliton with new results on the quantization of the Toda lattice, Rocky Mtn. J. Math. 8(1978) 413
48. A. Agarwal and G. Ferretti, Higher charges in dynamical spin chains for SYM theory 2005 J. High Energy Phys. JHEP10(2005)051 [hep-th/0508138]
49. C. Anastasiou, Z. Bern, L.J. Dixon and D.A. Kosower, Planar amplitudes in maximally supersymmetric Yang-Mills theory 2003 Phys. Rev. Lett. 91 251602 [hep-th/0309040]
50. Z. Bern, L.J. Dixon and V.A. Smirnov, Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond 2005 Phys. Rev. D 72 085001 [hep-th/0505205]
51. E. Witten, Perturbative gauge theory as a string theory in twistor space 2004 Comm. Math. Phys. 252 189 [hep-th/0312171]
52. F. Cachazo, P. Svrcek and E. Witten, MHV vertices and tree amplitudes in gauge theory 2004 J. High Energy Phys. JHEP09(2004)006 [hep-th/0403047]
53. R. Britto, F. Cachazo and B. Feng, New recursion relations for tree amplitudes of gluons 2005 Nucl. Phys. B 715 499 [hep-th/0412308]