Factorized world-sheet scattering in near-flat AdS5 × S5

Nuclear Physics B

Volumn 792, Issue 3, 2008, Pages 228-256

  Puletti, Valentina Giangreco M ^a   Klose, Thomas ^a   Sax, Olof Ohlsson ^a  

^a UPPSALA UNIVERSITY   (Sweden)

Author keywords

AdS CFT correspondence; Factorized scattering; Integrability; S matrix

Indexed keywords

EID: 37249077015     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2007.09.018     Document Type: Article

References (83)

1. 5. Phys. Lett. B 543 (2002) 81. hep-th/0206103
2. 5 superstring. Phys. Rev. D 69 (2004) 046002. hep-th/0305116
3. Kazakov V.A., Marshakov A., Minahan J.A., and Zarembo K. Classical/quantum integrability in AdS/CFT. JHEP 0405 (2004) 024. hep-th/0402207
4. Minahan J.A., and Zarembo K. The Bethe-ansatz for N = 4 super-Yang-Mills. JHEP 0303 (2003) 013. hep-th/0212208
5. Beisert N., Kristjansen C., and Staudacher M. The dilatation operator of N = 4 conformal super-Yang-Mills theory. Nucl. Phys. B 664 (2003) 131. hep-th/0303060
6. Beisert N., and Staudacher M. The N = 4 SYM integrable super spin chain. Nucl. Phys. B 670 (2003) 439. hep-th/0307042
7. Maldacena J.M. The large N limit of superconformal field theories and supergravity. Adv. Theor. Math. Phys. 2 (1998) 231. hep-th/9711200
8. Gubser S.S., Klebanov I.R., and Polyakov A.M. Gauge theory correlators from non-critical string theory. Phys. Lett. B 428 (1998) 105. hep-th/9802109
9. Witten E. Anti-de Sitter space and holography. Adv. Theor. Math. Phys. 2 (1998) 253. hep-th/9802150
10. Beisert N. The dilatation operator of N = 4 super-Yang-Mills theory and integrability. Phys. Rep. 405 (2005) 1. hep-th/0407277
11. Zarembo K. Semiclassical Bethe ansatz and AdS/CFT. Comptes Rendus Physique 5 (2004) 1081. hep-th/0411191
12. Plefka J. Spinning strings and integrable spin chains in the AdS/CFT correspondence. hep-th/0507136
13. Minahan J.A. A brief introduction to the Bethe ansatz in N = 4 super-Yang-Mills. J. Phys. A 39 (2006) 12657
14. Beisert N., and Staudacher M. Long-range PSU (2, 2 | 4) Bethe ansaetze for gauge theory and strings. Nucl. Phys. B 727 (2005) 1. hep-th/0504190
15. Staudacher M. The factorized S-matrix of CFT/AdS. JHEP 0505 (2005) 054. hep-th/0412188
16. Beisert N. The su (2 | 2) dynamic S-matrix. hep-th/0511082
17. 5 superstring. JHEP 0704 (2007) 002. hep-th/0612229
18. 5 superstring worldsheet S-matrix and crossing symmetry. Phys. Rev. D 73 (2006) 086006. hep-th/0603038
19. Arutyunov G., Frolov S., and Staudacher M. Bethe ansatz for quantum strings. JHEP 0410 (2004) 016. hep-th/0406256
20. Hernandez R., and Lopez E. Quantum corrections to the string Bethe ansatz. JHEP 0607 (2006) 004. hep-th/0603204
21. 5 strings. JHEP 0611 (2006) 070. hep-th/0609044
22. Beisert N., Eden B., and Staudacher M. Transcendentality and crossing. J. Stat. Mech. 0701 (2007) P021. hep-th/0610251
23. Kulish P.P. Factorization of the classical and quantum S-matrix and conservation laws. Theor. Math. Phys. 26 (1976) 132
24. Lüscher M. Quantum nonlocal charges and absence of particle production in the two-dimensional nonlinear sigma model. Nucl. Phys. B 135 (1978) 1
25. Shankar R., and Witten E. The S-matrix of the supersymmetric nonlinear sigma model. Phys. Rev. D 17 (1978) 2134
26. Zamolodchikov A.B., and Zamolodchikov A.B. Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field models. Ann. Phys. 120 (1979) 253
27. Dorey P. Exact S-matrices. hep-th/9810026
28. Bern Z., Czakon M., Dixon L.J., Kosower D.A., and Smirnov V.A. The four-loop planar amplitude and cusp anomalous dimension in maximally supersymmetric Yang-Mills theory. Phys. Rev. D 75 (2007) 085010. hep-th/0610248
29. Cachazo F., Spradlin M., and Volovich A. Four-loop cusp anomalous dimension from obstructions. Phys. Rev. D 75 (2007) 105011. hep-th/0612309
30. Benna M.K., Benvenuti S., Klebanov I.R., and Scardicchio A. A test of the AdS/CFT correspondence using high-spin operators. hep-th/0611135
31. Alday L.F., Arutyunov G., Benna M.K., Eden B., and Klebanov I.R. On the strong coupling scaling dimension of high spin operators. JHEP 0704 (2007) 082. hep-th/0702028
32. Kostov I., Serban D., and Volin D. Strong coupling limit of Bethe ansatz equations. hep-th/0703031
33. Beccaria M., De Angelis G.F., and Forini V. The scaling function at strong coupling from the quantum string Bethe equations. JHEP 0704 (2007) 066. hep-th/0703131
34. Casteill P.Y., and Kristjansen C. The strong coupling limit of the scaling function from the quantum string Bethe ansatz. arXiv: 0705.0890 [hep-th]
35. 5 superstring. arXiv: 0704.3638 [hep-th]
36. Beisert N., McLoughlin T., and Roiban R. The four-loop dressing phase of N = 4 SYM. arXiv: 0705.0321 [hep-th]
37. 5: One-loop scattering amplitudes. JHEP 0702 (2007) 071. hep-th/0701240
38. 5 at two loops. arXiv: 0704.3891 [hep-th]
39. Chen H.-Y., Dorey N., and Matos R.F.L. Quantum scattering of giant magnons. arXiv: 0707.0668 [hep-th]
40. 5. JHEP 0206 (2002) 007. hep-th/0204226
41. 5. JHEP 0307 (2003) 016. hep-th/0306130
42. 5. Phys. Rev. D 71 (2005) 026006. hep-th/0408187
43. 5: One-loop correction to energy in SL (2) sector. JHEP 0503 (2005) 013. hep-th/0501203
44. Frolov S., Tirziu A., and Tseytlin A.A. Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT. Nucl. Phys. B 766 (2007) 232. hep-th/0611269
45. 5 and Bethe ansatz: A comparative study. JHEP 0509 (2005) 051. hep-th/0507189
46. Beisert N., and Tseytlin A.A. On quantum corrections to spinning strings and Bethe equations. Phys. Lett. B 629 (2005) 102. hep-th/0509084
47. Schafer-Nameki S., and Zamaklar M. Stringy sums and corrections to the quantum string Bethe ansatz. JHEP 0510 (2005) 044. hep-th/0509096
48. Schafer-Nameki S. Exact expressions for quantum corrections to spinning strings. Phys. Lett. B 639 (2006) 571. hep-th/0602214
49. Freyhult L., and Kristjansen C. A universality test of the quantum string Bethe ansatz. Phys. Lett. B 638 (2006) 258. hep-th/0604069
50. Schafer-Nameki S., Zamaklar M., and Zarembo K. How accurate is the quantum string Bethe ansatz?. JHEP 0612 (2006) 020. hep-th/0610250
51. Rej A., Staudacher M., and Zieme S. Nesting and dressing. hep-th/0702151
52. Sakai K., and Satoh Y. Origin of dressing phase in N = 4 super-Yang-Mills. hep-th/0703177
53. Gromov N., and Vieira P. Constructing the AdS/CFT dressing factor. hep-th/0703266
54. Dorey N., Hofman D.M., and Maldacena J. On the singularities of the magnon S-matrix. hep-th/0703104
55. Das A., Melikyan A., and Rivelles V.O. The S-matrix of the Faddeev-Reshetikhin model, diagonalizability and PT symmetry. arXiv: 0707.0511 [hep-th]
56. Beisert N. The su (2 | 3) dynamic spin chain. Nucl. Phys. B 682 (2004) 487. hep-th/0310252
57. Serban D., and Staudacher M. Planar N = 4 gauge theory and the Inozemtsev long range spin chain. JHEP 0406 (2004) 001. hep-th/0401057
58. Beisert N., Dippel V., and Staudacher M. A novel long range spin chain and planar N = 4 super-Yang-Mills. JHEP 0407 (2004) 075. hep-th/0405001
59. Agarwal A., and Rajeev S.G. Yangian symmetries of matrix models and spin chains: The dilatation operator of N = 4 SYM. Int. J. Mod. Phys. A 20 (2005) 5453. hep-th/0409180
60. 5 background. JHEP 0503 (2005) 041. hep-th/0411170
61. Zwiebel B.I. Yangian symmetry at two-loops for the su (2 | 1) sector of N = 4 SYM. J. Phys. A 40 (2007) 1141. hep-th/0610283
62. Beisert N. The S-matrix of AdS/CFT and Yangian symmetry. PoS SOLVAY (2006) 002. arXiv: 0704.0400 [nlin.SI]
63. Eden B., and Staudacher M. Integrability and transcendentality. J. Stat. Mech. 0611 (2006) P014. hep-th/0603157
64. Callan C.G., McLoughlin T., and Swanson I.J. Higher impurity AdS/CFT correspondence in the near-BMN limit. Nucl. Phys. B 700 (2004) 271. hep-th/0405153
65. 5. JHEP 0703 (2007) 094. hep-th/0611169
66. 5 superstring. JHEP 0705 (2007) 021. hep-th/0703187
67. 5. arXiv: 0706.1525 [hep-th]
68. 5 background. Nucl. Phys. B 533 (1998) 109. hep-th/9805028
69. 5. hep-th/0612079
70. Benvenuti S., and Tonni E. Near-flat space limit and Einstein manifolds. arXiv: 0707.1676 [hep-th]
71. Parke S.J. Absence of particle production and factorization of the S-matrix in (1 + 1)-dimensional models. Nucl. Phys. B 174 (1980) 166
72. Torrielli A. Classical r-matrix of the su (2 | 2) SYM spin-chain. Phys. Rev. D 75 (2007) 105020. hep-th/0701281
73. (1) (2, 1 ; x) via the Weyl groupoid. arXiv: 0705.1071 [math.QA]
74. Moriyama S., and Torrielli A. A Yangian Double for the AdS/CFT Classical r-matrix. arXiv: 0706.0884 [hep-th]
75. Beisert N. The analytic Bethe ansatz for a chain with centrally extended su (2 | 2) symmetry. J. Stat. Mech. 0701 (2007) P017. nlin/0610017
76. 5 superstring in light-cone gauge and its Bethe equations. J. Phys. A 39 (2006) 13037. hep-th/0603008
77. Klose T., and Zarembo K. Bethe ansatz in stringy sigma models. J. Stat. Mech. 0605 (2006) P006. hep-th/0603039
78. 5 superstring. J. Phys. A 40 (2007) 3583. hep-th/0609157
79. Källen G., and Toll J. Special class of Feynman integrals in two-dimensional space-time. J. Math. Phys. 6 (1965) 299
80. Thacker H.B. Bethe's hypothesis and Feynman diagrams: Exact calculation of a three body scattering amplitude by perturbation theory. Phys. Rev. D 11 (1975) 838
81. Thacker H.B. Many body scattering processes in a one-dimensional boson system. Phys. Rev. D 14 (1976) 3508
82. Grabowski M.P., and Mathieu P. Integrability test for spin chains. J. Phys. A 28 (1995) 4777. hep-th/9412039
83. Drinfeld V.G. Hopf algebras and the quantum Yang-Baxter equation. Sov. Math. Dokl. 32 (1985) 254