Large winding sector of AdS/CFT

Journal of High Energy Physics

Volumn 2007, Issue 11, 2007, Pages

  Hayashi, Hirotaka ^a   Okamura, Keisuke ^a,b   Suzuki, Ryo ^a   Vicedo, Benot ^b  

^a UNIVERSITY OF TOKYO   (Japan)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

AdS CFT correspondence; Bethe ansatz; Integrable field theories

Indexed keywords

EID: 36849087036     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/11/033     Document Type: Article

References (75)

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. 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]
3. 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]
4. G. Arutyunov, S. Frolov and M. Staudacher, Bethe ansatz for quantum strings 2004 J. High Energy Phys. JHEP10(2004)016 [hep-th/0406256]
5. M. Staudacher, The factorized S-matrix of CFT/AdS 2005 J. High Energy Phys. JHEP05(2005)054 [hep-th/0412188]
6. 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]
7. N. Beisert, The SU(2|2) dynamic S-matrix, [hep-th/0511082]
8. 5 superstring worldsheet S-matrix and crossing symmetry 2006 Phys. Rev. D 73 086006 [hep-th/0603038]
9. B. Eden and M. Staudacher, Integrability and transcendentality 2006 J. Stat. Mech. P11014 [hep-th/0603157]
10. 5 string S-matrix 2006 Phys. Lett. B 639 378 [hep-th/0604043]
11. 5 strings 2006 J. High Energy Phys. JHEP11(2006)070 [hep-th/0609044]
12. N. Beisert, B. Eden and M. Staudacher, Transcendentality and crossing 2007 J. Stat. Mech. P01021 [hep-th/0610251]
13. N. Dorey, D.M. Hofman and J.M. Maldacena, On the singularities of the magnon S-matrix 2007 Phys. Rev. D 76 025011 [hep-th/0703104]
14. D. Berenstein, J.M. Maldacena and H. Nastase, Strings in flat space and pp waves from = 4 super Yang-Mills,2003 AIP Conf. Proc. 646 3
15. D.M. Hofman and J.M. Maldacena, Giant magnons 2006 J. Phys. A: Math. Gen. 39 13095 [hep-th/0604135]
16. H.-Y. Chen, N. Dorey and K. Okamura, Dyonic giant magnons 2006 J. High Energy Phys. JHEP09(2006)024 [hep-th/0605155]
17. N. Dorey, Magnon bound states and the AdS/CFT correspondence 2006 J. Phys. A: Math. Gen. 39 13119 [hep-th/0604175]
18. H.-Y. Chen, N. Dorey and K. Okamura, The asymptotic spectrum of the N = 4 super Yang-Mills spin chain 2007 J. High Energy Phys. JHEP03(2007)005 [hep-th/0610295]
19. H.-Y. Chen, N. Dorey and K. Okamura, On the scattering of magnon boundstates 2006 J. High Energy Phys. JHEP11(2006)035 [hep-th/0608047]
20. . G. Arutyunov, S. Frolov and M. Zamaklar, Finite-size effects from giant magnons 2007 Nucl. Phys. B 778 1 [hep-th/0606126]
21. D. Astolfi, V. Forini, G. Grignani and G.W. Semenoff, Gauge invariant finite size spectrum of the giant magnon 2007 Phys. Lett. B 651 329 [hep-th/0702043]
22. J.A. Minahan, A. Tirziu and A.A. Tseytlin, Infinite spin limit of semiclassical string states 2006 J. High Energy Phys. JHEP08(2006)049 [hep-th/0606145]
23. M. Spradlin and A. Volovich, Dressing the giant magnon 2006 J. High Energy Phys. JHEP10(2006)012 [hep-th/0607009]
24. N.P. Bobev and R.C. Rashkov, Multispin giant magnons 2006 Phys. Rev. D 74 046011 [hep-th/0607018]
25. 5, 2006 2006 J. High Energy Phys. JHEP10(2006)002 [hep-th/0607044]
26. C. Kalousios, M. Spradlin and A. Volovich, Dressing the giant magnon. II 2007 J. High Energy Phys. JHEP03(2007)020 [hep-th/0611033]
27. S. Hirano, Fat magnon 2007 J. High Energy Phys. JHEP04(2007)010 [hep-th/0610027]
28. R. Roiban, Magnon bound-state scattering in gauge and string theory 2007 J. High Energy Phys. JHEP04(2007)048 [hep-th/0608049]
29. C.S. Chu, G. Georgiou and V.V. Khoze, Magnons, classical strings and beta-deformations 2006 J. High Energy Phys. JHEP11(2006)093 [hep-th/0606220]
30. 5 2005 J. High Energy Phys. JHEP08(2005)047 [hep-th/0503239]
31. D. Berenstein, D.H. Correa and S.E. Vazquez, All loop BMN state energies from matrices 2006 J. High Energy Phys. JHEP02(2006)048 [hep-th/0509015]
32. S.E. Vazquez, BPS condensates, matrix models and emergent string theory 2007 J. High Energy Phys. JHEP01(2007)101 [hep-th/0607204]
33. Y. Hatsuda and K. Okamura, Emergent classical strings from matrix model 2007 J. High Energy Phys. JHEP03(2007)077 [hep-th/0612269]
34. D. Berenstein and S.E. Vazquez, Giant magnon bound states from strongly coupled N = 4 SYM [0707.4669]
35. K. Okamura and R. Suzuki, A perspective on classical strings from complex sine-Gordon solitons 2007 Phys. Rev. D 75 046001 [hep-th/0609026]
36. 5 2006 J. High Energy Phys. JHEP12(2006)043 [hep-th/0610037]
37. 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]
38. 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]
39. 5 superstring quantum spectrum from the algebraic curve [hep-th/0703191]
40. N. Gromov and P. Vieira, Constructing the AdS/CFT dressing factor [hep-th/0703266]
41. H.-Y. Chen, N. Dorey and R.F. Lima Matos, Quantum scattering of giant magnons 2007 J. High Energy Phys. JHEP09(2007)106 [0707.0668]
42. B. Vicedo, Giant magnons and singular curves [hep-th/0703180]
43. N. Dorey and B. Vicedo, On the dynamics of finite-gap solutions in classical string theory 2006 J. High Energy Phys. JHEP07(2006)014 [hep-th/0601194]
44. 3 [0705.2429]
45. A.E. Mosaffa and B. Safarzadeh, Dual spikes: new spiky string solutions 2007 J. High Energy Phys. JHEP08(2007)017 [0705.3131]
46. 5 and integrable systems 2003 Nucl. Phys. B 671 3 [hep-th/0307191]
47. 5: new integrable system relations 2004 Phys. Rev. D 69 086009 [hep-th/0311004]
48. K. Pohlmeyer, Integrable hamiltonian systems and interactions through quadratic constraints 1976 Comm. Math. Phys. 46 207
49. F. Lund and T. Regge, Unified approach to strings and vortices with soliton solutions 1976 Phys. Rev. D 14 1524
50. F. Lund, Note on the geometry of the nonlinear σ-model in two-dimensions 1977 Phys. Rev. D 15 1540
51. A. Mikhailov, An action variable of the sine-Gordon model 2006 J. Geom. Phys. 56 2429 [hep-th/0504035]
52. A. Mikhailov, Baecklund transformations, energy shift and the plane wave limit [hep-th/0507261]
53. A. Mikhailov, A nonlocal poisson bracket of the sine-Gordon model [hep-th/0511069]
54. 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]
55. J.-Q. Liang and H.J.W. Müller-Kirsten, Quantum tunneling for the sine-Gordon potential: energy band structure and boGomolny-Fateyev relation 1995 Phys. Rev. D 51 718
56. 5 2003 Nucl. Phys. B 648 203 [hep-th/0209047]
57. 5 2003 J. High Energy Phys. JHEP11(2003)063 [hep-th/0310188]
58. 5 and long coherent operators in N = 4 SYM theory 2004 J. High Energy Phys. JHEP09(2004)038 [hep-th/0406189]
59. J.A. Minahan, Higher loops beyond the SU(2) sector, 2004 J. High Energy Phys. JHEP10(2004)053 [hep-th/0405243]
60. N. Beisert, J.A. Minahan, M. Staudacher and K. Zarembo, Stringing spins and spinning strings 2003 J. High Energy Phys. JHEP09(2003)010 [hep-th/0306139]
61. 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]
62. K. Zarembo, Antiferromagnetic operators in N = 4 supersymmetric Yang-Mills theory 2006 Phys. Lett. B 634 552 [hep-th/0512079]
63. R. Roiban, A. Tirziu and A.A. Tseytlin, Slow-string limit and 'antiferromagnetic' state in AdS/CFT 2006 Phys. Rev. D 73 066003 [hep-th/0601074]
64. A. Rej, M. Staudacher and S. Zieme, Nesting and dressing 2007 J. Stat. Mech. P0808006 [hep-th/0702151]
65. N. Dorey and B. Vicedo, A symplectic structure for string theory on integrable backgrounds 2007 J. High Energy Phys. JHEP03(2007)045 [hep-th/0606287]
66. M. Kruczenski, Spin chains and string theory 2004 Phys. Rev. Lett. 93 161602 [hep-th/0311203]
67. H. Dimov and R.C. Rashkov, On the anatomy of multi-spin magnon and single spike string solutions [0709.4231]
68. 5 2002 J. High Energy Phys. JHEP06(2002)007 [hep-th/0204226]
69. N. Beisert, S. Frolov, M. Staudacher and A.A. Tseytlin, Precision spectroscopy of AdS/CFT 2003 J. High Energy Phys. JHEP10(2003)037 [hep-th/0308117]
70. M. Kruczenski, Spiky strings and single trace operators in gauge theories 2005 J. High Energy Phys. JHEP08(2005)014 [hep-th/0410226]
71. A.V. Belitsky, A.S. Gorsky and G.P. Korchemsky, Logarithmic scaling in gauge/string correspondence 2006 Nucl. Phys. B 748 24 [hep-th/0601112]
72. S. Frolov, A. Tirziu and A.A. Tseytlin, Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT 2007 Nucl. Phys. B 766 232 [hep-th/0611269]
73. P.Y. Casteill and C. Kristjansen, The strong coupling limit of the scaling function from the quantum string Bethe ansatz 2007 Nucl. Phys. B 785 1 [0705.0890]
74. Y.K. Lin and F.A. Lee, Expansions of Jacobian elliptic functions in powers of the modulus in Technical Notes and Short Papers 1962 J. Math. Comput. 16 372
75. nd ed., vol. LXVII of Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen Springer, Berlin, Göttingen (1971)