Analytic Bethe ansatz solutions for highest states in the su(1|1) and su(2) sectors

Journal of High Energy Physics

Volumn 2007, Issue 5, 2007, Pages

  Ryang, Shijong ^a  

^a KYOTO PREFECTURAL UNIVERSITY OF MEDICINE   (Japan)

Author keywords

AdS CFT correspondence; Bethe Ansatz

Indexed keywords

EID: 34547583930     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/05/101     Document Type: Article

References (56)

1. 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]
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 Nucl. Phys. B 668 77 [hep-th/0304255]
8. 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]
9. A.A. Tseytlin, Spinning strings and AdS/CFT duality [hep-th/0311139]
10. 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]
11. N. Beisert, C. Kristjansen and M. Staudacher, The dilatation operator of conformal N ≤ 4 super Yang-Mills theory 2003 Nucl. Phys. B 664 131 [hep-th/0303060]
12. N. Beisert, The complete one-loop dilatation operator of N ≤ 4 super Yang-Mills theory 2004 Nucl. Phys. B 676 3 [hep-th/0307015]
13. N. Beisert, The dilatation operator of N ≤ 4 super Yang-Mills theory and integrability 2005 Phys. Rep. 405 1 [hep-th/0407277]
14. K. Zarembo, Semiclassical Bethe ansatz and AdS/CFT 2004 Comptes Rendus Physique 5 1081 [hep-th/0411191]
15. J. Plefka, Spinning strings and integrable spin chains in the AdS/CFT correspondence [hep-th/0507136]
16. 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]
17. M. Staudacher, The factorized S-matrix of CFT/AdS 2005 J. High Energy Phys. JHEP05(2005)054 [hep-th/0412188]
18. N. Beisert and M. Staudacher, Long-range PSU(2,2|4) Bethe ansatze for gauge theory and strings, 2005 Nucl. Phys. B 727 1 [hep-th/0504190]
19. 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]
20. V.A. Kazakov and K. Zarembo, Classical/quantum integrability in non-compact sector of AdS/CFT 2004 J. High Energy Phys. JHEP10(2004)060 [hep-th/0410105]
21. N. Beisert, V.A. Kazakov and K. Sakai, Algebraic curve for the SO(6) sector of AdS/CFT, 2006 Comm. Math. Phys. 263 611 [hep-th/0410253]
22. S. Schafer-Nameki, The algebraic curve of 1-loop planar N ≤ 4 SYM 2005 Nucl. Phys. B 714 3 [hep-th/0412254]
23. 5 2006 Comm. Math. Phys. 263 659 [hep-th/0502226]
24. G. Arutyunov, S. Frolov and M. Staudacher, Bethe ansatz for quantum strings 2004 J. High Energy Phys. JHEP10(2004)016 [hep-th/0406256]
25. N. Beisert, Spin chain for quantum strings 2005 Fortschr. Phys. 53 852 [hep-th/0409054]
26. 5 and Bethe ansatz: a comparative study 2005 J. High Energy Phys. JHEP09(2005)051 [hep-th/0507189]
27. N. Beisert and A.A. Tseytlin, On quantum corrections to spinning strings and Bethe equations 2005 Phys. Lett. B 629 102 [hep-th/0509084]
28. S. Schafer-Nameki and M. Zamaklar, Stringy sums and corrections to the quantum string Bethe ansatz 2005 J. High Energy Phys. JHEP10(2005)044 [hep-th/0509096]
29. S. Schafer-Nameki, M. Zamaklar and K. Zarembo, How accurate is the quantum string Bethe ansatz? 2006 J. High Energy Phys. JHEP12(2006)020 [hep-th/0610250]
30. 5 strings 2006 J. High Energy Phys. JHEP11(2006)070 [hep-th/0609044]
31. 5 superstring worldsheet S-matrix and crossing symmetry 2006 Phys. Rev. D 73 086006 [hep-th/0603038]
32. R. Hernandez and E. Lopez, Quantum corrections to the string Bethe ansatz 2006 J. High Energy Phys. JHEP07(2006)004 [hep-th/0603204]
33. 5 string S-matrix 2006 Phys. Lett. B 639 378 [hep-th/0604043]
34. L. Freyhult and C. Kristjansen, A universality test of the quantum string Bethe ansatz 2006 Phys. Lett. B 638 258 [hep-th/0604069]
35. K. Zarembo, Antiferromagnetic operators in N ≤ 4 supersymmetric Yang-Mills theory 2006 Phys. Lett. B 634 552 [hep-th/0512079]
36. G. Arutyunov and A.A. Tseytlin, On highest-energy state in the su(1|1) sector of N ≤ 4 super Yang-Mills theory, 2006 J. High Energy Phys. JHEP05(2006)033 [hep-th/0603113]
37. M. Beccaria and L. Del Debbio, Bethe ansatz solutions for highest states in N ≤ 4 SYM and AdS/CFT duality 2006 J. High Energy Phys. JHEP09(2006)025 [hep-th/0607236]
38. A. Rej, D. Serban and M. Staudacher, Planar N ≤ 4 gauge theory and the Hubbard model 2006 J. High Energy Phys. JHEP03(2006)018 [hep-th/0512077]
39. J.A. Minahan, Strong coupling from the Hubbard model 2006 J. Phys. A: Math. Gen. 39 13083 [hep-th/0603175]
40. M. Beccaria and C. Ortix, Strong coupling anomalous dimensions of N ≤ 4 super Yang-Mills 2006 J. High Energy Phys. JHEP09(2006)016 [hep-th/0606138]
41. G. Feverati, D. Fioravanti, P. Grinza and M. Rossi, Hubbard's adventures in N ≤ 4 SYM-land? some non-perturbative considerations on finite length operators 2007 J. Stat. Mech. P02001 [hep-th/0611186]
42. 5 superstring 2007 J. High Energy Phys. JHEP04(2007)034 [hep-th/0701167]
43. B. Eden and M. Staudacher, Integrability and transcendentality 2006 J. Stat. Mech. P11014 [hep-th/0603157]
44. A.V. Kotikov and L.N. Lipatov, DGLAP and BFKL equations in the N ≤ 4 supersymmetric gauge theory 2003 Nucl. Phys. B 661 19 [Erratum 2004 Nucl. Phys. 685 405] [hep-ph/0208220]
45. 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]
46. S. Moch, J.A.M. Vermaseren and A. Vogt, The three-loop splitting functions in QCD: the non-singlet case 2004 Nucl. Phys. B 688 101 [hep-ph/0403192]
47. N. Beisert, B. Eden and M. Staudacher, Transcendentality and crossing 2007 J. Stat. Mech. 0701 P021 [hep-th/0610251]
48. Z. Bern, M. Czakon, L.J. Dixon, D.A. Kosower and V.A. Smirnov, The four-loop planar amplitude and cusp anomalous dimension in maximally supersymmetric Yang-Mills theory 2007 Phys. Rev. D 75 085010 [hep-th/0610248]
49. F. Cachazo, M. Spradlin and A. Volovich, Four-loop cusp anomalous dimension from obstructions 2007 Phys. Rev. D 75 105011 [hep-th/0612309]
50. M.K. Benna, S. Benvenuti, I.R. Klebanov and A. Scardicchio, A test of the AdS/CFT correspondence using high-spin operators 2007 Phys. Rev. Lett. 98 131603 [hep-th/0611135]
51. L.F. Alday, G. Arutyunov, M.K. Benna, B. Eden and I.R. Klebanov, On the strong coupling scaling dimension of high spin operators 2007 J. High Energy Phys. JHEP04(2007)082 [hep-th/0702028]
52. A.V. Kotikov and L.N. Lipatov, On the highest transcendentality in N ≤ 4 SUSY 2007 Nucl. Phys. B 769 217 [hep-th/0611204]
53. A. Rej, M. Staudacher and S. Zieme, Nesting and dressing [hep-th/0702151]
54. K. Sakai and Y. Satoh, Origin of dressing phase in N ≤ 4 super Yang-Mills [hep-th/0703177]
55. I. Kostov, D. Serban and D. Volin, Strong coupling limit of Bethe ansatz equations [hep-th/0703031]
56. M. Beccaria, G.F. De Angelis and V. Forini, The scaling function at strong coupling from the quantum string Bethe equations 2007 J. High Energy Phys. JHEP04(2007)066 [hep-th/0703131]