A relation between approaches to integrability in superconformal Yang-Mills theory

Journal of High Energy Physics

Volumn 7, Issue 10, 2003, Pages 335-351

  Dolan, Louise ^a   Nappi, Chiara R ^b   Witten, Edward ^c  

^a University of North Carolina at Chapel Hill   (United States)

^b PRINCETON UNIVERSITY   (United States)

^c INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

1 N Expansion; AdS CFT and dS CFT Correspondence; Conformal Field Models in String Theory; Global Symmetries

Indexed keywords

EID: 23044442054     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2003/10/017     Document Type: Article

References (46)

1. A.M. Polyakov, Interaction of goldstone particles in two-dimensions. applications to ferromagnets and massive Yang-Mills fields, Phys. Lett. B 59 (1975) 79;
2. Hidden symmetry of the two-dimensional chiral fields, Phys. Lett. B 72 (1977) 224;
3. String representations and hidden symmetries for gauge fields, Phys. Lett. B 247 (1979) 82;
4. Gauge fields as rings of glue, Nucl. Phys. B 164 (1980) 1971.
5. L. Dolan, Kac-moody algebra is hidden symmetry of chiral models, Phys. Rev. Lett. 47 (1981) 1371;
6. Kac-Moody symmetry group of real self-dual Yang-Mills, Phys. Lett. B 113 (1982) 378;
7. Kac-moody algebras and exact solvability in hadronic physics, Phys. Rept. 109 (1984) 1.
8. L.-L. Chau, M.-l. Ge and Y.-s. Wu, The Kac-Moody algebra in the selfdual Yang-Mills equation, Phys. Rev. D 25 (1982) 1086.
9. K. Ueno and Y. Nakamura, Transformation theory for anti(self)dual equations and the Riemann-Hilbert problem, Phys. Lett. B 109 (1982) 273.
10. A.D. Popov and C.R. Preitschopf, Conformal symmetries of the self-dual Yang-Mills equations, Phys. Lett. B 374 (1996) 71 [hep-th/9512130].
11. G. 't Hooft, A planar diagram theory for strong interactions, Nucl. Phys. B 72 (1974) 461.
12. L.N. Lipatov, High-energy asymptotics of multicolor QCD and exactly solvable lattice models, Sov. Phys. JETP Lett. 59 (1994) 596 [hep-th/9311037].
13. L.D. Faddeev and G.P. Korchemsky, High-energy QCD as a completely integrable model, Phys. Lett. B 342 (1995) 311 [hep-th/9404173].
14. 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].
15. 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].
16. N. Beisert, The complete one-loop dilatation operator of N = 4 super Yang-Mills theory, hep-th/0307015.
17. N. Beisert and M. Staudacher, The N = 4 SYM integrable super spin chain, Nucl. Phys. B 670 (2003) 439 [hep-th/0307042].
18. 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].
19. 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].
20. A.V. Belitsky, A.S. Gorsky and G.P. Korchemsky, Gauge/string duality for QCD conformal operators, Nucl. Phys. B 667 (2003) 3 [hep-th/0304028].
21. A.V. Kotikov, L.N. Lipatov and V.N. Velizhanin, Anomalous dimensions of wilson operators in N = 4 SYM theory, Phys. Lett. B 557 (2003) 114 [hep-ph/0301021].
22. F.A. Dolan and H. Osborn, Superconformal symmetry, correlation functions and the operator product expansion, Nucl. Phys. B 629 (2002) 3 [hep-th/0112251].
23. 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].
24. A.V. Belitsky, Fine structure of spectrum of twist-three operators in QCD, Phys. Lett. B 453 (1999) 59 [hep-ph/9902361];
25. Integrability and WKB solution of twist-three evolution equations, Nucl. Phys. B 558 (1999) 259 [hep-ph/9903512];
26. Renormalization of twist-three operators and integrable lattice models, Nucl. Phys. B 574 (2000) 407 [hep-ph/9907420].
27. 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].
28. S.E. Derkachov, G.P. Korchemsky and A.N. Manashov, Evolution equations for quark gluon distributions in multi-color QCD and open spin chains, Nucl. Phys. B 566 (2000) 203 [hep-ph/9909539].
29. 5, Phys. Lett. B 543 (2002) 81 [hep-th/0206103].
30. 5 background, Nucl. Phys. B 533 (1998) 109 [hep-th/9805028].
31. 5 superstring, hep-th/0305116.
32. S. Fubini, A.J. Hanson and R. Jackiw, New approach to field theory, Phys. Rev. D 7 (1973) 1732.
33. M. Lüscher and K. Pohlmeyer, Scattering of massless lumps and nonlocal charges in the two-dimensional classical nonlinear sigma model, Nucl. Phys. B 137 (1978) 46.
34. M. Lüscher, Quantum nonlocal charges and absence of particle production in the two-dimensional nonlinear sigma model, Nucl. Phys. B 135 (1978) 1.
35. L.A. Takhtadjan and L. Fadde'ev, Hamiltonian methods in the theory of solitons, Springer Series in Soviet Mathematics, Springer Verlag, 1987;
36. How algebraic Bethe ansatz works for integrable model, hep-th/9605187.
37. 5 pure spinor superstring, hep-th/0307018.
38. N. Berkovits, Super-Poincaré covariant quantization of the superstring, J. High Energy Phys. 04 (2000) 018 [hep-th/0001035].
39. J.H. Schwarz, Classical symmetries of some two-dimensional models coupled to gravity, Nucl. Phys. B 454 (1995) 427 [hep-th/9506076].
40. P. . Goddard and D. I. Olive, Kac-Moody and virasoro algebras: a reprint volume for physicists, Adv. Ser. Math. Phys. 3 (1988) 1.
41. D. Bernard, An introduction to yangian symmetries, Int. J. Mod. Phys. B 7 (1993) 3517 [hep-th/9211133].
42. N.J. MacKay, On the classical origins of yangian symmetry in integrable field theory, Phys. Lett. B 281 (1992) 90.
43. D. Bernard and A. Leclair, Quantum group symmetries and nonlocal currents in 2-D QFT, Commun. Math. Phys. 142 (1991) 99.
44. D. Bernard, Hidden yangian in 2D massive current algebras, Commun. Math. Phys. 137 (1991) 191.
45. N. Seiberg and E. Witten, String theory and noncommutative geometry, J. High Energy Phys. 09 (1999) 032 [hep-th/9908142].
46. A. Mikhailov, Notes on higher spin symmetries, hep-th/0201019.