A secret symmetry of the AdS/CFT S-matrix

Journal of High Energy Physics

Volumn 2007, Issue 9, 2007, Pages

  Matsumoto, Takuya ^a   Moriyama, Sanefumi ^a,b   Torrielli, Alessandro ^b  

^a NAGOYA UNIVERSITY   (Japan)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

AdS CFT correspondence; Quantum groups; Supersymmetric gauge theory

Indexed keywords

EID: 34948821693     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/09/099     Document Type: Article

References (76)

1. 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]
2. N. Beisert, The dilatation operator of N ≤ 4 super Yang-Mills theory and integrability 2005 Phys. Rep. 405 1 [hep-th/0407277]
3. J. Plefka, Spinning strings and integrable spin chains in the AdS/CFT correspondence [hep-th/0507136]
4. J. A. Minahan, A brief introduction to the Bethe ansatz in N ≤ 4 super-Yang-Mills 2006 J. Phys. A: Math. Gen. 39 12657
5. N. Beisert, The SU(2|2) dynamic S-matrix, [hep-th/0511082]
6. 5 superstring worldsheet S-matrix and crossing symmetry 2006 Phys. Rev. D 73 086006 [hep-th/0603038]
7. C. Gomez and R. Hernandez, The magnon kinematics of the AdS/CFT correspondence 2006 J. High Energy Phys. JHEP11(2006)021 [hep-th/0608029]
8. J. Plefka, F. Spill and A. Torrielli, On the Hopf algebra structure of the AdS/CFT S-matrix 2006 Phys. Rev. D 74 066008 [hep-th/0608038]
9. 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]
10. N. Beisert, The complete one-loop dilatation operator of N ≤ 4 super Yang-Mills theory 2004 Nucl. Phys. B 676 3 [hep-th/0307015]
11. N. Beisert and M. Staudacher, The N ≤ 4 SYM integrable super spin chain 2003 Nucl. Phys. B 670 439 [hep-th/0307042]
12. N. Beisert, The SU(2|3) dynamic spin chain, 2004 Nucl. Phys. B 682 487 [hep-th/0310252]
13. A.A. Tseytlin, Spinning strings and AdS/CFT duality [hep-th/0311139]
14. 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]
15. 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]
16. G. Arutyunov, S. Frolov and M. Staudacher, Bethe ansatz for quantum strings 2004 J. High Energy Phys. JHEP10(2004)016 [hep-th/0406256]
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 ansaetze for gauge theory and strings, 2005 Nucl. Phys. B 727 1 [hep-th/0504190]
19. 5 and Bethe ansatz: a comparative study 2005 J. High Energy Phys. JHEP09(2005)051 [hep-th/0507189]
20. 5 superstring in light-cone gauge and its Bethe equations 2006 J. Phys. A: Math. Gen. 39 13037-13082 [hep-th/0603008]
21. R. Hernandez and E. Lopez, Quantum corrections to the string Bethe ansatz 2006 J. High Energy Phys. JHEP07(2006)004 [hep-th/0603204]
22. L. Freyhult and C. Kristjansen, A universality test of the quantum string Bethe ansatz 2006 Phys. Lett. B 638 258 [hep-th/0604069]
23. D.M. Hofman and J.M. Maldacena, Giant magnons 2006 J. Phys. A: Math. Gen. 39 13095 [hep-th/0604135]
24. 5 2007 J. High Energy Phys. JHEP03(2007)094 [hep-th/0611169]
25. 5 string S-matrix 2006 Phys. Lett. B 639 378 [hep-th/0604043]
26. 5 strings 2006 J. High Energy Phys. JHEP11(2006)070 [hep-th/0609044]
27. N. Beisert, B. Eden and M. Staudacher, Transcendentality and crossing 2007 J. Stat. Mech. P01021 [hep-th/0610251]
28. 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]
29. F. Cachazo, M. Spradlin and A. Volovich, Four-loop cusp anomalous dimension from obstructions 2007 Phys. Rev. D 75 105011 [hep-th/0612309]
30. 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]
31. 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]
32. I. Kostov, D. Serban and D. Volin, Strong coupling limit of Bethe ansatz equations [hep-th/0703031]
33. 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]
34. P.Y. Casteill and C. Kristjansen, The strong coupling limit of the scaling function from the quantum string Bethe ansatz [0705.0890]
35. D. Fioravanti and M. Rossi, On the commuting charges for the highest dimension SU(2) operator in planar ≤ 4 SYM, [0706.3936]
36. 5 [0707.2082]
37. 5 2007 Phys. Rev. D 76 026002 [hep-th/0612079]
38. 5 at two loops [0704.3891]
39. 5 2002 Phys. Lett. B 543 81 [hep-th/0206103]
40. 5 superstring 2004 Phys. Rev. D 69 046002 [hep-th/0305116]
41. L. Dolan, C.R. Nappi and E. Witten, Yangian symmetry in D ≤ 4 superconformal Yang-Mills theory [hep-th/0401243]
42. 5 2005 Adv. Theor. Math. Phys. 9 703 [hep-th/0407044]
43. 5 superstring 2004 J. High Energy Phys. JHEP12(2004)055 [hep-th/0411200]
44. 5 in the light-cone gauge 2005 J. High Energy Phys. JHEP11(2005)015 [hep-th/0508183]
45. A. Agarwal, Comments on higher loop integrability in the SU(1|1) sector of N ≤ 4 SYM: lessons from the SU(2) sector, [hep-th/0506095]
46. B.I. Zwiebel, Yangian symmetry at two-loops for the SU(2|1) sector of N ≤ 4 SYM, 2007 J. Phys. A: Math. Gen. 40 1141 [hep-th/0610283]
47. C. Gomez and R. Hernandez, Quantum deformed magnon kinematics 2007 J. High Energy Phys. JHEP03(2007)108 [hep-th/0701200]
48. C.A.S. Young, q-deformed supersymmetry and dynamic magnon representations 2007 J. Phys. A: Math. Gen. 40 9165 [0704.2069]
49. 5 superstring 2007 J. High Energy Phys. JHEP04(2007)002 [hep-th/0612229]
50. N. Beisert and B.I. Zwiebel, On symmetry enhancement in the PSU(1,1|2) sector of N ≤ 4 SYM, [0707.1031]
51. N. Beisert, The S-Matrix of AdS/CFT and yangian symmetry PoS(SOLVAY)002 [0704.0400]
52. V.G. Drinfeld, Quantum groups proceedings of the International Congress of Mathematicians Berkeley (1986), American Mathematical Society (1987)
53. N. Beisert, The analytic Bethe ansatz for a chain with centrally extended SU(2|2) symmetry, 2007 J. Stat. Mech. P01017 [nlin.SI/0610017]
54. A. Torrielli, Classical r-matrix of the SU(2|2) SYM spin-chain, 2007 Phys. Rev. D 75 105020 [hep-th/0701281]
55. S. Moriyama and A. Torrielli, A yangian double for the AdS/CFT classical r-matrix 2007 J. High Energy Phys. JHEP06(2007)083 [0706.0884]
56. V.G. Drinfeld, A new realization of Yangians and quantized affine algebras 1988 Sov. Math. Dokl. 36 212
57. (1)(2,1) via the Weyl groupoid, [0705.1071]
58. R. Dijkgraaf and L. Motl, Matrix string theory, contact terms and superstring field theory [hep-th/0309238]
59. S. Moriyama, Comments on supersymmetry algebra and contact term in matrix string theory 2004 J. High Energy Phys. JHEP09(2004)013 [hep-th/0405091]
60. I. Kishimoto, S. Moriyama and S. Teraguchi, Twist field as three string interaction vertex in light cone string field theory 2006 Nucl. Phys. B 744 221 [hep-th/0603068]
61. I. Kishimoto and S. Moriyama, On LCSFT/MST correspondence [hep-th/0611113]
62. C. Kristjansen, J. Plefka, G.W. Semenoff and M. Staudacher, A new double-scaling limit of N ≤ 4 super Yang-Mills theory and pp-wave strings 2002 Nucl. Phys. B 643 3 [hep-th/0205033]
63. N.R. Constable et al., Pp-wave string interactions from perturbative Yang-Mills theory 2002 J. High Energy Phys. JHEP07(2002)017 [hep-th/0205089]
64. D.J. Gross, A. Mikhailov and R. Roiban, A calculation of the plane wave string hamiltonian from N ≤ 4 super-Yang-Mills theory 2003 J. High Energy Phys. JHEP05(2003)025 [hep-th/0208231]
65. 2/N 2003 J. High Energy Phys. JHEP05(2003)022 [hep-th/0210102]
66. J. Gomis, S. Moriyama and J.W. Park, SYM description of SFT hamiltonian in a pp-wave background 2003 Nucl. Phys. B 659 179 [hep-th/0210153]
67. J. Gomis, S. Moriyama and J.W. Park, SYM description of pp-wave string interactions: singlet sector and arbitrary impurities 2003 Nucl. Phys. B 665 49 [hep-th/0301250]
68. P. Gutjahr and A. Pankiewicz, New aspects of the BMN correspondence beyond the planar limit 2005 Nucl. Phys. B 704 583 [hep-th/0407098]
69. G. Grignani, M. Orselli, B. Ramadanovic, G.W. Semenoff and D. Young, Divergence cancellation and loop corrections in string field theory on a plane wave background 2005 J. High Energy Phys. JHEP12(2005)017 [hep-th/0508126]
70. P. Di Vecchia, J.L. Petersen, M. Petrini, R. Russo and A. Tanzini, The 3-string vertex and the AdS/CFT duality in the pp-wave limit 2004 Class. Quantum Grav. 21 2221 [hep-th/0304025]
71. S. Dobashi and T. Yoneya, Resolving the holography in the plane-wave limit of AdS/CFT correspondence 2005 Nucl. Phys. B 711 3 [hep-th/0406225]
72. S. Lee and R. Russo, Holographic cubic vertex in the pp-wave 2005 Nucl. Phys. B 705 296 [hep-th/0409261]
73. M. Spradlin and A. Volovich, Superstring interactions in a pp-wave background 2002 Phys. Rev. D 66 086004 [hep-th/0204146]
74. M. Spradlin and A. Volovich, Superstring interactions in a pp-wave background. II 2003 J. High Energy Phys. JHEP01(2003)036 [hep-th/0206073]
75. A. Pankiewicz and J. Stefanski, B., pp-wave light-cone superstring field theory 2003 Nucl. Phys. B 657 79 [hep-th/0210246]
76. M.J. Martins and C.S. Melo, The Bethe ansatz approach for factorizable centrally extended S-matrices [hep-th/0703086]