Giant Magnons on ℂℙ 3 by dressing method

Journal of High Energy Physics

Volumn 2009, Issue 5, 2009, Pages

  Suzuki, Ryo ^a  

^a TRINITY COLLEGE DUBLIN   (Ireland)

Author keywords

AdS CFT correspondence; Integrable field theories; Sigma models

Indexed keywords

EID: 69249142040     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2009/05/079     Document Type: Article

References (91)

1. A. Gustavsson, 2009 Algebraic structures on parallel M2-branes, Nucl. Phys. B 811 66 [0709.1260]
2. J. Bagger and N. Lambert, 2008 Gauge symmetry and supersymmetry of multiple M2-branes, Phys. Rev. D 77 065008 [0711.0955]
3. J. Bagger and N. Lambert, 2008 Comments on multiple M2-branes J. High Energy Phys. JHEP02(2008)105 [0712.3738]
4. D. Gaiotto and E. Witten, Janus configurations, Chern-Simons couplings, and the θ-angle in =4 super Yang-Mills theory, [0804.2907]
5. K. Hosomichi, K.-M. Lee and S. Lee, 2008 Mass-deformed Bagger-Lambert theory and its BPS objects, Phys. Rev. D 78 066015 [0804.2519]
6. O. Aharony, O. Bergman, D.L. Jafferis and J. Maldacena, 2008 =6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals J. High Energy Phys. JHEP10(2008)091 [0806.1218]
7. 3 correspondence J. High Energy Phys. JHEP09(2008)072 [0806.1519]
8. J.M. Maldacena, 1998 The large-N limit of superconformal field theories and supergravity Adv. Theor. Math. Phys. 2 231 [hep-th/9711200]
9. J.M. MaldacenaInt. J. Theor. Phys. 38 1999 1113
10. J.A. Minahan and K. Zarembo, 2008 The bethe ansatz for superconformal Chern-Simons J. High Energy Phys. JHEP09(2008)040 [0806.3951]
11. D. Bak and S.-J. Rey, 2008 Integrable spin chain in superconformal Chern-Simons theory J. High Energy Phys. JHEP10(2008)053 [0807.2063]
12. J.A. Minahan, W. Schulgin and K. Zarembo, 2009 Two loop integrability for Chern-Simons theories with =6 supersymmetry J. High Energy Phys. JHEP03(2009)057 [0901.1142]
13. B.I. Zwiebel, Two-loop integrability of planar =6 superconformal Chern-Simons theory, [0901.0411]
14. 3 as a coset σ-model J. High Energy Phys. JHEP09(2008)129 [0806.4940]
15. 3, Nucl. Phys. B 808 80 [0806.4948]
16. 3 superspace for the type IIA superstring and D-branes J. High Energy Phys. JHEP03(2009)015 [0811.1566]
17. P. Fré and P.A. Grassi, Pure spinor formalism for Osp (|4) backgrounds, [0807.0044]
18. 3 J. High Energy Phys. JHEP10(2008)085 [0808.1051]
19. 3 from supergravity Phys. Rev. D 79 086001 [0808.1282]
20. 5 background J. High Energy Phys. JHEP03(2005)041 [hep-th/0411170]
21. 3 Bethe ansatz J. High Energy Phys. JHEP01(2009)016 [0807.0777]
22. C. Ahn and R.I. Nepomechie, 2008 =6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations J. High Energy Phys. JHEP09(2008)010 [0807.1924]
23. C. Ahn and R.I. Nepomechie, 2009 An alternative S-matrix for =6 Chern-Simons theory ? J. High Energy Phys. JHEP03(2009)068 [0810.1915]
24. C. Ahn and R.I. Nepomechie, 2009 Two-loop test of the =6 Chern-Simons theory S-matrix J. High Energy Phys. JHEP03(2009)144 [0901.3334]
25. T. Nishioka and T. Takayanagi, 2008 On type IIA penrose limit and =6 Chern-Simons theories J. High Energy Phys. JHEP08(2008)001 [0806.3391]
26. D. Gaiotto, S. Giombi and X. Yin, 2009 Spin chains in =6 superconformal Chern-Simons-Matter theory J. High Energy Phys. JHEP04(2009)066 [0806.4589]
27. G. Grignani, T. Harmark and M. Orselli, 2009 The SU(2) × SU(2) sector in the string dual of =6 superconformal Chern-Simons theory, Nucl. Phys. B 810 115 [0806.4959]
28. 3, Nucl. Phys. B 810 150 [0807.1527]
29. 3 string and its Bethe equations in the near plane wave limit J. High Energy Phys. JHEP02(2009)046 [0811.2775]
30. 3 J. High Energy Phys. JHEP12(2008)101 [0807.3965]
31. 3 J. High Energy Phys. JHEP11(2008)089 [0807.4400]
32. 3 at one loop J. High Energy Phys. JHEP09(2008)092 [0807.4561]
33. 3 J. High Energy Phys. JHEP04(2009)083 [0807.4897]
34. 3: testing the Bethe Ansatz proposal J. High Energy Phys. JHEP11(2008)069 [0809.4038]
35. G. Grignani, T. Harmark, M. Orselli and G.W. Semenoff, 2008 Finite size giant magnons in the string dual of =6 superconformal Chern-Simons theory J. High Energy Phys. JHEP12(2008)008 [0807.0205]
36. 3 J. High Energy Phys. JHEP11(2008)066 [0807.2559]
37. 3 J. High Energy Phys. JHEP09(2008)096 [0807.0802]
38. 3 J. High Energy Phys. JHEP09(2008)017 [0807.3134]
39. 3 giant magnons: the Lscher terms, [0810.0704]
40. 3 J. High Energy Phys. JHEP12(2008)073 [0810.1246]
41. C. Ahn and P. Bozhilov, Finite-size effect of the dyonic giant magnons in =6 super Chern-Simons theory, [0810.2079]
42. A. Agarwal, N. Beisert and T. McLoughlin, Scattering in mass-deformed ≥ 4 Chern-Simons models, [0812.3367]
43. 3, [0902.1743]
44. N. Beisert, 2008 The SU(2|2) dynamic S-matrix, Adv. Theor. Math. Phys. 12 945 [hep-th/0511082]
45. N. Beisert, 2007 The analytic Bethe ansatz for a chain with centrally extended su(2|2) symmetry J. Stat. Mech. P01017 [nlin/0610017]
46. D.M. Hofman and J.M. Maldacena, 2006 Giant magnons, J. Phys. A 39 13095 [hep-th/0604135]
47. 3 algebraic curve J. High Energy Phys. JHEP02(2009)040 [0807.0437]
48. 3: dispersion, quantization and finite-size corrections, [0807.2861]
49. H.-Y. Chen, N. Dorey and K. Okamura, 2006 On the scattering of magnon boundstates J. High Energy Phys. JHEP11(2006)035 [hep-th/0608047]
50. R. Roiban, 2007 Magnon bound-state scattering in gauge and string theory J. High Energy Phys. JHEP04(2007)048 [hep-th/0608049]
51. J.A. Minahan, 2007 Zero modes for the giant magnon J. High Energy Phys. JHEP02(2007)048 [hep-th/0701005]
52. G. Papathanasiou and M. Spradlin, 2007 Semiclassical quantization of the giant magnon J. High Energy Phys. JHEP06(2007)032 [0704.2389]
53. H.-Y. Chen, N. Dorey and R.F. Lima Matos, 2007 Quantum scattering of giant magnons J. High Energy Phys. JHEP09(2007)106 [0707.0668]
54. 5 superstring quantum spectrum from the algebraic curve, Nucl. Phys. B 789 175 [hep-th/0703191]
55. B. Vicedo, 2008 Semiclassical quantisation of finite-gap strings J. High Energy Phys. JHEP06(2008)086 [0803.1605]
56. V.E. Zakharov and A.V. Mikhailov, 1978 Relativistically invariant two-dimensional models in field theory integrable by the inverse problem technique. (in russian) Sov. Phys. JETP 47 1017
57. V.E. Zakharov and A.V. MikhailovZh. Eksp. Teor. Fiz. 74 1978 1953
58. V.E. Zakharov and A.B. Shabat, 1979 Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II Funct. Anal. Appl. 13 166
59. V.E. Zakharov and A.B. ShabatFunkt. Anal. Pril. 13N3 1979 13
60. also included in: C. Rebbi and G. Soliani (ed.), 1984 Solitons and particles, World Scientific, Singapore
61. V.E. Zakharov and A.V. Mikhailov, 1980 On the integrability of classical spinor models in two-dimensional space-time, Commun. Math. Phys. 74 21
62. J.P. Harnad, Y. Saint Aubin and S. Shnider, 1984 Backlund transformations for nonlinear σ-models with values in Riemannian symmetric sapces, Commun. Math. Phys. 92 329
63. J.P. Harnad, Y. Saint Aubin and S. Shnider, 1984 The soliton correlation matrix and the reduction problem for integrable systems, Commun. Math. Phys. 93 33
64. N - 1σ-models, J. Math. Phys. 26 1786
65. J.P. Antoine and B. Piette, 1987 Classical non-linear σ-models on Grassmann manifolds of compact or non-compact type, J. Math. Phys. 28 2753
66. B. Piette, 1988 Explicit solutions of Grassmannian σ-models, J. Math. Phys. 29 2190
67. M. Spradlin and A. Volovich, 2006 Dressing the giant magnon J. High Energy Phys. JHEP10(2006)012 [hep-th/0607009]
68. C. Kalousios, M. Spradlin and A. Volovich, 2007 Dressing the giant magnon. II J. High Energy Phys. JHEP03(2007)020 [hep-th/0611033]
69. T.J. Hollowood and J.L. Miramontes, 2009 Magnons, their solitonic avatars and the pohlmeyer reduction J. High Energy Phys. JHEP04(2009)060 [0902.2405]
70. 3, [0902.3179]
71. 3: embeddings, charges and a Hamiltonian, [0811.2423]
72. H. Eichenherr and M. Forger, 1980 More about nonlinear σ-models on symmetric spaces, Nucl. Phys. B 164 528 [Erratum ibid B 282 (1987) 745]
73. H.-Y. Chen, N. Dorey and K. Okamura, 2006 Dyonic giant magnons J. High Energy Phys. JHEP09(2006)024 [hep-th/0605155]
74. K. Okamura and R. Suzuki, 2007 A perspective on classical strings from complex sine-Gordon solitons, Phys. Rev. D 75 046001 [hep-th/0609026]
75. K. Pohlmeyer, 1976 Integrable Hamiltonian systems and interactions through quadratic constraints, Commun. Math. Phys. 46 207
76. F. Lund and T. Regge, 1976 Unified approach to strings and vortices with soliton solutions, Phys. Rev. D 14 1524
77. 5 strings J. High Energy Phys. JHEP11(2006)070 [hep-th/0609044]
78. 5, Phys. Rev. D 76 026002 [hep-th/0612079]
79. N. Dorey, D.M. Hofman and J.M. Maldacena, 2007 On the singularities of the magnon S-matrix, Phys. Rev. D 76 025011 [hep-th/0703104]
80. N. Dorey and K. Okamura, 2008 Singularities of the magnon boundstate S-matrix J. High Energy Phys. JHEP03(2008)037 [0712.4068]
81. P. Bozhilov, 2003 Probe branes dynamics: exact solutions in general backgrounds, Nucl. Phys. B 656 199 [hep-th/0211181]
82. 7 J. High Energy Phys. JHEP08(2007)073 [0704.3082]
83. P. Bozhilov and R.C. Rashkov, 2008 On the multi-spin magnon and spike solutions from membranes, Nucl. Phys. B 794 429 [0708.0325]
84. C. Ahn and P. Bozhilov, 2008 M2-brane perspective on =6 super Chern-Simons theory at level k J. High Energy Phys. JHEP12(2008)049 [0810.2171]
85. R. D'Auria, T. Regge and S. Sciuto, 1980 A general scheme for bidimensional models with associate linear set, Phys. Lett. B 89 363
86. R. D'Auria, T. Regge and S. Sciuto, 1980 Group theoretical construction of two-dimesnional models with infinite set of conservation laws, Nucl. Phys. B 171 167
87. N nonlinear σ-model, J. Math. Phys. 22 374
88. I. Bakas, Q.-H. Park and H.-J. Shin, 1996 Lagrangian formulation of symmetric space sine-Gordon models, Phys. Lett. B 372 45 [hep-th/9512030]
89. C.R. Fernandez-Pousa, M.V. Gallas, T.J. Hollowood and J.L. Miramontes, 1997 The symmetric space and homogeneous sine-Gordon theories, Nucl. Phys. B 484 609 [hep-th/9606032]
90. J.L. Miramontes, 2008 Pohlmeyer reduction revisited J. High Energy Phys. JHEP10(2008)087 [0808.3365]
91. 3 string σ-model, Phys. Rev. D 78 106012 [0808.3057]