Matching higher conserved charges for strings and spins

Journal of High Energy Physics

Volumn 8, Issue 3, 2004, Pages 69-100

  Arutyunov, Gleb ^a   Staudacher, Matthias ^a  

^a ALBERT EINSTEIN INSTITUT   (Germany)

Author keywords

AdS CFT and dS CFT Correspondence; Bethe Ansatz

Indexed keywords

EID: 23044496045     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2004/03/004     Document Type: Article

References (36)

1. 5, Nucl. Phys. B 668 (2003) 77 [hep-th/0304255].
2. N. Beisert, J.A. Minahan, M. Staudacher and K. Zarembo, Stringing spins and spinning strings, J. High Energy Phys. 09 (2003) 010 [hep-th/0306139].
3. S. Frolov and A.A. Tseytlin, Rotating string solutions: AdS/CFT duality in non-supersymmetric sectors, Phys. Lett. B 570 (2003) 96 [hep-th/0306143].
4. 5 and integrable systems, Nucl. Phys. B 671 (2003) 3 [hep-th/0307191].
5. N. Beisert, S. Frolov, M. Staudacher and A.A. Tseytlin, Precision spectroscopy of AdS/CFT, J. High Energy Phys. 10 (2003) 037 [hep-th/0308117].
6. D. Berenstein, J.M. Maldacena and H. Nastase, Strings in flat space and PP waves from N = 4 super Yang-Mills, J. High Energy Phys. 04 (2002) 013 [hep-th/0202021].
7. 5, J. High Energy Phys. 06 (2002) 007 [hep-th/0204226].
8. 5, J. High Energy Phys. 07 (2003) 016 [hep-th/0306130].
9. H.J. de Vega, A.L. Larsen and N. Sanchez, Semiclassical quantization of circular strings in de Sitter and anti-de Sitter space-times, Phys. Rev. D 51 (1995) 6917 [hep-th/9410219].
10. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, A semi-classical limit of the gauge/string correspondence, Nucl. Phys. B 636 (2002) 99 [hep-th/0204051].
11. J.A. Minahan and K. Zarembo, The bethe-ansatz for N = 4 super Yang-Mills, J. High Energy Phys. 03 (2003) 013 [hep-th/0212208].
12. N. Beisert, The complete one-loop dilatation operator of N = 4 super Yang-Mills theory, Nucl. Phys. B 676 (2004) 3 [hep-th/0307015].
13. N. Beisert and M. Staudacher, The N = 4 SYM integrable super spin chain, Nucl. Phys. B 670 (2003) 439 [hep-th/0307042].
14. N. Beisert, C. Kristjansen and M. Staudacher, The dilatation operator of N = 4 super Yang-Mills theory, Nucl. Phys. B 664 (2003) 131 [hep-th/0303060];
15. See also N. Beisert, Higher loops, integrability and the near BMN limit, J. High Energy Phys. 09 (2003) 062 [hep-th/0308074].
16. V.M. Braun, S.E. Derkachov and A.N. Manashov, Integrability of three-particle evolution equations in QCD, Phys. Rev. Lett. 81 (1998) 2020 [hep-ph/9805225];
17. A.V. Belitsky, Fine structure of spectrum of twist-three operators in QCD, Phys. Lett. B 453 (1999) 59 [hep-ph/9902361];
18. V.M. Braun, S.E. Derkachov, G.P. Korchemsky and A.N. Manashov, Baryon distribution amplitudes in QCD, Nucl. Phys. B 553 (1999) 355 [hep-ph/9902375];
19. A.V. Belitsky, Integrability and WKB solution of twist-three evolution equations, Nucl. Phys. B 558 (1999) 259 [hep-ph/9903512].
20. 5 and nearly-BPS operators, J. High Energy Phys. 12 (2003) 017 [hep-th/0309114].
21. A. Gorsky, Spin chains and gauge/string duality, hep-th/0308182.
22. 5, Phys. Lett. B 543 (2002) 81 [hep-th/0206103].
23. 5 superstring, Phys. Rev. D 69 (2004) 046002 [hep-th/0305116].
24. L. Dolan, C.R. Nappi and E. Witten, A relation between approaches to integrability in superconformal Yang-Mills theory, J. High Energy Phys. 10 (2003) 017 [hep-th/0308089].
25. 5 and PP-waves, J. High Energy Phys. 12 (2003) 033 [hep-th/0310146].
26. K. Pohlmeyer, Integrable hamiltonian systems and interactions through quadratic constraints, Commun. Math. Phys. 46 (1976) 207.
27. I.V. Cherednik, Local conservation laws of principal chiral fields (D = 1), Theor. Math. Phys. 38 (1979) 120
28. [Tear. Mat. Fiz. 38 (1979) 179];
29. Conservation laws and elements of scattering theory for principal chiral fields (D = 1), Theor. Math. Phys. 41 (1979) 997
30. [Teor. Mat. Fiz. 41 (1979) 236].
31. A.T. Ogielski, M.K. Prasad, A. Sinha and L.-L.C. Wang, Backlund transformations and local conservation laws for principal chiral fields, Phys. Lett. B 91 (1980) 387.
32. H.J. De Vega and N. Sanchez, Exact integrability of strings in d-dimensional de Sitter space-time, Phys. Rev. D 47 (1993) 3394.
33. L.D. Faddeev, How algebraic Bethe ansatz works for integrable model, hep-th/9605187.
34. I.K. Kostov and M. Staudacher, Multicritical phases of the O(N) model on a random lattice, Nucl. Phys. B 384 (1992) 459 [hep-th/9203030].
35. O. Babelon and D. Bernard, Affine solitons: a relation between tau functions, dressing and backlund transformations, Int. J. Mod. Phys. A 8 (1993) 507 [hep-th/9206002].
36. 5, J. High Energy Phys. 11 (2003) 063 [hep-th/0310188].