On the anatomy of multi-spin magnon and single spike string solutions

Nuclear Physics B

Volumn 799, Issue 3, 2008, Pages 255-290

  Dimov, H ^a   Rashkov, R C ^b  

^a UNIVERSITY OF CHEMICAL TECHNOLOGY AND METALLURGY   (Bulgaria)

^b VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

AdS CFT correspondence; String theory

Indexed keywords

EID: 43549088794     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2008.01.009     Document Type: Article

References (69)

1. 't Hooft G. A planar diagram theory for strong interactions. Nucl. Phys. B 72 (1974) 461
2. Maldacena J.M. The large N limit of superconformal field theories and supergravity. Adv. Theor. Math. Phys. 2 (1998) 231
3. Maldacena J.M. The large N limit of superconformal field theories and supergravity. Int. J. Theor. Phys. 38 (1999) 1113. hep-th/9711200
4. 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
5. Witten E. Anti-de Sitter space and holography. Adv. Theor. Math. Phys. 2 (1998) 253. hep-th/9802150
6. Gubser S.S., Klebanov I.R., and Polyakov A.M. A semi-classical limit of the gauge/string correspondence. Nucl. Phys. B 636 (2002) 99-114. hep-th/0204051
7. Berenstein D., Maldacena J.M., and Nastase H. Strings in flat space and pp waves from N = 4 super-Yang-Mills. JHEP 0204 (2002) 013. hep-th/0202021
8. Hofman D.M., and Maldacena J.M. Giant magnons. J. Phys. A 39 (2006) 13095. hep-th/0604135
9. 5. hep-th/0612079
10. Arutyunov G., Frolov S., and Staudacher M. Bethe ansatz for quantum strings. JHEP 0410 (2004) 016. hep-th/0406256
11. Minahan J.A., and Zarembo K. The Bethe-ansatz for N = 4 super-Yang-Mills. JHEP 0303 (2003) 013. hep-th/0212208
12. Faddeev L.D. How algebraic Bethe ansatz works for integrable model. hep-th/9605187
13. Kruczenski M. Spin chains and string theory. Phys. Rev. Lett. 93 (2004) 161602. hep-th/0311203
14. Dimov H., and Rashkov R.C. A note on spin chain/string duality. Int. J. Mod. Phys. A 20 (2005) 4337. hep-th/0403121
15. Hernandez R., and Lopez E. The S U (3) spin chain sigma model and string theory. JHEP 0404 (2004) 052. hep-th/0403139
16. 5 string theory and low energy expansion of ferromagnetic spin chains. Nucl. Phys. B 692 (2004) 3. hep-th/0403120
17. Stefanski B.J., and Tseytlin A.A. Large spin limits of AdS/CFT and generalized Landau-Lifshitz equations. JHEP 0405 (2004) 042. hep-th/0404133
18. 5 superstring. Nucl. Phys. B 718 (2005) 83. hep-th/0503185
19. 5 superstring. Phys. Rev. D 69 (2004) 046002. hep-th/0305116
20. 5 string S-matrix. Phys. Lett. B 639 (2006) 378-382. hep-th/0604043
21. 5 superstring. JHEP 0704 (2007) 002. hep-th/0612229
22. 5 strings. JHEP 0611 (2006) 070. hep-th/0609044
23. 5 superstring worldsheet S-matrix and crossing symmetry. Phys. Rev. D 73 (2006) 086006. hep-th/0603038
24. Beisert N. The dilatation operator of N = 4 super-Yang-Mills theory and integrability. Phys. Rep. 405 (2005) 1. hep-th/0407277
25. Tseytlin A.A. Spinning strings and AdS/CFT duality. hep-th/0311139
26. Tseytlin A.A. Semiclassical strings and AdS/CFT. hep-th/0409296
27. Plefka J. Spinning strings and integrable spin chains in the AdS/CFT correspondence. hep-th/0507136
28. Berenstein D., Correa D.H., and Vazquez S.E. All loop BMN state energies from matrices. JHEP 0602 (2006) 048. hep-th/0509015
29. Dorey N. Magnon bound states and the AdS/CFT correspondence. J. Phys. A 39 (2006) 13119. hep-th/0604175
30. Chen H.Y., Dorey N., and Okamura K. Dyonic giant magnons. JHEP 0609 (2006) 024. hep-th/0605155
31. Arutyunov G., Frolov S., and Zamaklar M. Finite-size effects from giant magnons. hep-th/0606126
32. Minahan J.A., Tirziu A., and Tseytlin A.A. Infinite spin limit of semiclassical string states. JHEP 0608 (2006) 049. hep-th/0606145
33. 5. JHEP 0612 (2006) 043. hep-th/0610037
34. Spradlin M., and Volovich A. Dressing the giant magnon. JHEP 0610 (2006) 012. hep-th/0607009
35. 5. JHEP 0610 (2006) 002. hep-th/0607044
36. Kalousios C., Spradlin M., and Volovich A. Dressing the giant magnon. II. JHEP 0703 (2007) 020. hep-th/0611033
37. Papathanasiou G., and Spradlin M. Semiclassical quantization of the giant magnon. arXiv: 0704.2389 [hep-th]
38. 5 and integrable systems. Nucl. Phys. B 671 (2003) 3-50. hep-th/0307191
39. 5: New integrable system relations. Phys. Rev. D 69 (2004) 086009. hep-th/0311004
40. Leigh R.G., and Strassler M.J. Exactly marginal operators and duality in four-dimensional N = 1 supersymmetric gauge theory. Nucl. Phys. B 447 (1995) 95. hep-th/9503121
41. Lunin O., and Maldacena J.M. Deforming field theories with U (1) × U (1) global symmetry and their gravity duals. JHEP 0505 (2005) 033. hep-th/0502086
42. Frolov S. Lax pair for strings in Lunin-Maldacena background. JHEP 0505 (2005) 069. hep-th/0503201
43. Chu C.S., Georgiou G., and Khoze V.V. Magnons, classical strings and β-deformations. JHEP 0611 (2006) 093. hep-th/0606220
44. Bobev N.P., and Rashkov R.C. Multispin giant magnons. Phys. Rev. D 74 (2006) 046011. hep-th/0607018
45. Frolov S.A., Roiban R., and Tseytlin A.A. Gauge-string duality for superconformal deformations of N = 4 super-Yang-Mills theory. JHEP 0507 (2005) 045. hep-th/0503192
46. Beisert N., and Roiban R. Beauty and the twist: The Bethe ansatz for twisted N = 4 SYM. JHEP 0508 (2005) 039. hep-th/0505187
47. Beisert N. The analytic Bethe ansatz for a Chain with centrally extended su (2 | 2) symmetry. J. Stat. Mech. 07 (2007) P01017. nlin/061001
48. Rej A., Serban D., and Staudacher M. Planar N = 4 gauge theory and the Hubbard model. JHEP 0603 (2006) 018. hep-th/0512077
49. Minahan J.A. Strong coupling from the Hubbard model. J. Phys. A 39 (2006) 13083-13094. hep-th/0512077
50. Bobev N.P., Dimov H., and Rashkov R.C. Semiclassical strings in Lunin-Maldacena background. hep-th/0506063
51. Frolov S.A., Roiban R., and Tseytlin A.A. Gauge-string duality for (non)supersymmetric deformations of N = 4 super-Yang-Mills theory. Nucl. Phys. B 731 (2005) 1. hep-th/0507021
52. Ryang S. Rotating strings with two unequal spins in Lunin-Maldacena background. JHEP 0511 (2005) 006. hep-th/0509195
53. Chen H.Y., and Prem Kumar S. Precision test of AdS/CFT in Lunin-Maldacena background. JHEP 0603 (2006) 051. hep-th/0511164
54. Chen H.Y., and Okamura K. The anatomy of gauge/string duality in Lunin-Maldacena background. JHEP 0602 (2006) 054. hep-th/0601109
55. McLoughlin T., and Swanson I. Integrable twists in AdS/CFT. JHEP 0608 (2006) 084. hep-th/0605018
56. Swanson I. A review of integrable deformations in AdS/CFT. Mod. Phys. Lett. A 22 (2007) 915. arXiv: 0705.2844 [hep-th]
57. Kruczenski M. Spiky strings and single trace operators in gauge theories. JHEP 0508 (2005) 014. hep-th/0410226
58. 5. JHEP 0508 (2005) 047. hep-th/0503239
59. 5. JHEP 0608 (2006) 063. hep-th/0604193
60. 3. arXiv: 0705.2429 [hep-th]
61. Bobev N.P., and Rashkov R.C. Spiky strings, giant magnons and beta-deformations. Phys. Rev. D 76 (2007) 046008. arXiv: 0706.0442 [hep-th]
62. Roiban R., Tirziu A., and Tseytlin A.A. Slow-string limit and 'antiferromagnetic' state in AdS/CFT. Phys. Rev. D 73 (2006) 066003. hep-th/0601074
63. Kluson J., Nayak R.R., and Panigrahi K.L. Giant magnon in NS5-brane background. hep-th/0703244
64. Bozhilov P., and Rashkov R.C. Magnon-like dispersion relation from M-theory. Nucl. Phys. B 768 (2007) 193. hep-th/0607116
65. Bozhilov P. A note on two-spin magnon-like energy-charge relations from M-theory viewpoint. hep-th/0612175
66. Bozhilov P., and Rashkov R.C. On the multi-spin magnon and spike solutions from membranes. arXiv: 0708.0325 [hep-th]
67. Mosaffa A.E., and Safarzadeh B. Dual spikes: New spiky solutions. arXiv: 0705.3131 [hep-th]
68. Beisert N. The su (2 | 2) dynamic S-matrix. hep-th/0511082
69. Hayashi H., Okamura K., Suzuki R., and Vicedo B. Large winding sector of AdS/CFT. arXiv: 0709.4033 [hep-th]