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Review of AdS/CFT Integrability, Chapter II.1: Classical AdS 5 × S 5 String Solutions

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We review basic examples of classical string solutions in AdS 5 × S 5. We concentrate on simplest rigid closed string solutions of circular or folded type described by integrable 1-d Neumann system but mention also various generalizations and related open-string solutions.

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References

  1. Green M.B., Schwarz J.H.: Supersymmetrical string theories. Phys. Lett. B 109, 444 (1982)

    Article  ADS  Google Scholar 

  2. Schwarz J.H.: Covariant field equations of chiral N = 2 D = 10 supergravity. Nucl. Phys. B 226, 269 (1983)

    Article  ADS  Google Scholar 

  3. Blau M., Figueroa-O’Farrill J.M., Hull C., Papadopoulos G.: A new maximally supersymmetric background of IIB superstring theory. JHEP 0201, 047 (2002) arXiv:hep-th/0110242

    Article  MathSciNet  ADS  Google Scholar 

  4. Horowitz G.T., Strominger A.: Black strings and P-branes. Nucl. Phys. B 360, 197 (1991)

    Article  MathSciNet  ADS  Google Scholar 

  5. Duff M.J., Lu J.X.: The selfdual type IIb superthreebrane. Phys. Lett. B 273, 409 (1991)

    Article  MathSciNet  ADS  Google Scholar 

  6. Maldacena J.M.: The large N limit of superconformal field theories and supergravity. Adv. Theor. Math. Phys. 2, 231 (1998) arXiv:hep-th/9711200

    MathSciNet  ADS  MATH  Google Scholar 

  7. Aharony O., Gubser S.S., Maldacena J.M., Ooguri H., Oz Y.: Large N field theories, string theory and gravity. Phys. Rep. 323, 183 (2000) arXiv:hep-th/9905111

    Article  MathSciNet  ADS  Google Scholar 

  8. Green M.B., Schwarz J.H.: Covariant description of superstrings. Phys. Lett. B 136, 367 (1984)

    Article  ADS  Google Scholar 

  9. Metsaev R.R., Tseytlin A.A.: Type IIB superstring action in AdS(5) x S(5) background. Nucl. Phys. B 533, 109 (1998) arXiv:hep-th/9805028

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. Magro, M.: Review of AdS/CFT Integrability, Chapter II.3: Sigma model, Gauge Fixing. arXiv:1012.3988 [hep-th]

  11. Drukker N., Gross D.J., Tseytlin A.A.: Green-Schwarz string in AdS(5) x S(5): semiclassical partition function. JHEP 0004, 021 (2000) arXiv:hep-th/0001204

    Article  MathSciNet  ADS  Google Scholar 

  12. Roiban R., Tirziu A., Tseytlin A.A.: Two-loop world-sheet corrections in AdS 5 × S 5 superstring. JHEP 0707, 056 (2007) arXiv:0704.3638

    Article  MathSciNet  ADS  Google Scholar 

  13. Roiban R., Tseytlin A.A.: Strong-coupling expansion of cusp anomaly from quantum superstring. JHEP 0711, 016 (2007) arXiv:0709.0681

    Article  MathSciNet  ADS  Google Scholar 

  14. McLoughlin, T.: Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS 5 × S 5. arXiv:1012.3987 [hep-th]

  15. Berenstein D.E., Maldacena J.M., Nastase H.S.: Strings in flat space and pp waves from N = 4 super Yang Mills. JHEP 0204, 013 (2002) arXiv:hep-th/0202021

    Article  MathSciNet  ADS  Google Scholar 

  16. Gubser S.S., Klebanov I.R., Polyakov A.M.: A semi-classical limit of the gauge/ string correspondence. Nucl. Phys. B 636, 99 (2002) hep-th/0204051

    Article  MathSciNet  ADS  MATH  Google Scholar 

  17. Frolov S., Tseytlin A.A.: Semiclassical quantization of rotating superstring in AdS(5) x S(5). JHEP 0206, 007 (2002) arXiv:hep-th/0204226

    Article  MathSciNet  ADS  Google Scholar 

  18. Frolov S., Tseytlin A.A.: Multi-spin string solutions in AdS(5) x S5. Nucl. Phys. B 668, 77 (2003) arXiv:hep-th/0304255

    Article  MathSciNet  ADS  MATH  Google Scholar 

  19. Tseytlin A.A.: Semiclassical quantization of superstrings: AdS(5) x S(5) and beyond. Int. J. Mod. Phys. A 18, 981 (2003) arXiv:hep-th/0209116

    Article  MathSciNet  ADS  MATH  Google Scholar 

  20. Tseytlin, A.A.: Semiclassical strings and AdS/CFT. In: Cargese 2004, String Theory: From Gauge Interactions to Cosmology, pp. 265–290. arXiv:hep-th/0409296

  21. Tseytlin, A.A.: Spinning strings and AdS/CFT duality. In: Shifman, M., et al. (eds.) From Fields to Strings: Circumnavigating Theoretical Physics, vol. 2, pp. 1648–1707. World Scientific, San Diego (2004). arXiv:hep-th/0311139

  22. Plefka J.: Spinning strings and integrable spin chains in the AdS/CFT correspondence. Living Rev. Rel. 8, 9 (2005) arXiv:hep-th/0507136

    Google Scholar 

  23. Tseytlin, A.A.: Quantum strings in AdS 5 × S 5 and AdS/CFT duality. Crossing the boundaries: gauge dynamics at strong coupling: honoring the 60th birthday of M. Shifman, Minneapolis, 14–17 May 2009. Int. J. Mod. Phys. A 25, 319 (2010). arXiv:0907.3238 [hep-th]

  24. Maldacena J.M.: Wilson loops in large N field theories. Phys. Rev. Lett. 80, 4859 (1998) arXiv:hep-th/9803002

    Article  MathSciNet  ADS  MATH  Google Scholar 

  25. Alday L.F., Maldacena J.M.: Gluon scattering amplitudes at strong coupling. JHEP 0706, 064 (2007) arXiv:0705.0303

    Article  MathSciNet  ADS  Google Scholar 

  26. Roiban, R.: Review of AdS/CFT Integrability, Chapter V.1: Scattering Amplitudes – A Brief Introduction. arXiv:1012.4001 [hep-th]

  27. Drummond, J.: Review of AdS/CFT Integrability, Chapter V.2: Dual Superconformal Symmetry. arXiv:1012.4002 [hep-th]

  28. Alday, L.F.: Review of AdS/CFT Integrability, Chapter V.3: Scattering Amplitudes at Strong Coupling. arXiv:1012.4003 [hep-th]

  29. Pohlmeyer K.: Integrable hamiltonian systems and interactions through quadratic constraints. Commun. Math. Phys. 46, 207 (1976)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  30. Luscher M., Pohlmeyer K.: Scattering of massless lumps and nonlocal charges in the two-dimensional classical nonlinear sigma model. Nucl. Phys. B 137, 46 (1978)

    Article  MathSciNet  ADS  Google Scholar 

  31. Eichenherr H., Forger M.: On the dual symmetry of the nonlinear sigma models. Nucl. Phys. B 155, 381 (1979)

    Article  MathSciNet  ADS  Google Scholar 

  32. Bena I., Polchinski J., Roiban R.: Hidden symmetries of the AdS(5) x S5 superstring. Phys. Rev. D 69, 046002 arXiv:hep-th/0305116 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  33. Novikov, S., Manakov, S.V., Pitaevsky, L.P., Zakharov, V.E.: Theory of Solitons. The Inverse Scattering Method. Consultants Bureau, New York, USA (1984)

  34. Kazakov V.A., Marshakov A., Minahan J.A., Zarembo K.: Classical/quantum integrability in AdS/CFT. JHEP 0405, 024 (2004) arXiv:hep-th/0402207

    Article  MathSciNet  ADS  Google Scholar 

  35. Beisert N., Kazakov V.A., Sakai K., Zarembo K.: The algebraic curve of classical superstrings on AdS(5) x S5. Commun. Math. Phys. 263, 659 (2006) arXiv:hep-th/0502226

    Article  MathSciNet  ADS  MATH  Google Scholar 

  36. Vicedo, B.: Finite-g Strings. arXiv:0810.3402

  37. Gromov N.: Integrability in AdS/CFT correspondence: quasi-classical analysis. J. Phys. A 42, 254004 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  38. Schäfer-Nameki, S.: Review of AdS/CFT Integrability, Chapter II.4: The Spectral Curve. arXiv:1012.3989 [hep-th]

  39. Barbashov B.M., Nesterenko V.V.: Relativistic string model in a space-time of a constant curvature. Commun. Math. Phys. 78, 499 (1981)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  40. de Vega H.J., Sanchez N.: Exact integrability of strings in D-Dimensional De Sitter space–time. Phys. Rev. D47, 3394 (1993)

    ADS  Google Scholar 

  41. de Vega H.J., Larsen A.L., Sanchez N.G.: Semiclassical Quantization of circular strings in De Sitter and anti-De Sitter space-times. Phys. Rev. D 51, 6917 (1995) arXiv:hep-th/9410219

    Article  ADS  Google Scholar 

  42. McLoughlin T., Wu X.: Kinky strings in AdS(5) x S5. JHEP 0608, 063 (2006) arXiv:hep-th/0604193

    Article  MathSciNet  ADS  Google Scholar 

  43. Arutyunov G., Russo J., Tseytlin A.A.: Spinning strings in AdS(5) x S5: new integrable system relations. Phys. Rev. D 69, 086009 (2004) arXiv:hep-th/0311004

    Article  MathSciNet  ADS  Google Scholar 

  44. Roiban R., Tseytlin A.A.: Quantum strings in AdS 5 × S 5: strong-coupling corrections to dimension of Konishi operator. JHEP 0911, 013 (2009) arXiv:0906.4294

    Article  MathSciNet  ADS  Google Scholar 

  45. Gubser S.S., Klebanov I.R., Polyakov A.M.: Gauge theory correlators from non- critical string theory. Phys. Lett. B 428, 105 (1998) arXiv:hep-th/9802109

    Article  MathSciNet  ADS  Google Scholar 

  46. Frolov S., Tseytlin A.A.: Quantizing three-spin string solution in AdS(5) x S5. JHEP 0307, 016 (2003) arXiv:hep-th/0306130

    Article  MathSciNet  ADS  Google Scholar 

  47. Frolov S., Tseytlin A.A.: Rotating string solutions: AdS/CFT duality in non- supersymmetric sectors. Phys. Lett. B 570, 96 (2003) arXiv:hep-th/0306143

    Article  MathSciNet  ADS  MATH  Google Scholar 

  48. Park I.Y., Tirziu A., Tseytlin A.A.: Semiclassical circular strings in AdS(5) and ‘long’ gauge field strength operators. Phys. Rev. D 71, 126008 (2005) arXiv:hep-th/0505130

    Article  MathSciNet  ADS  Google Scholar 

  49. Park I.Y., Tirziu A., Tseytlin A.A.: Spinning strings in AdS(5) x S5: One-loop correction to energy in SL(2) sector. JHEP 0503, 013 (2005) arXiv:hep-th/0501203

    Article  MathSciNet  ADS  Google Scholar 

  50. Arutyunov G., Frolov S., Russo J., Tseytlin A.A.: Spinning strings in AdS(5) x S5 and integrable systems. Nucl. Phys. B 671, 3 (2003) arXiv:hep-th/0307191

    Article  MathSciNet  ADS  MATH  Google Scholar 

  51. Tirziu A., Tseytlin A.A.: Semiclassical rigid strings with two spins in AdS5. Phys. Rev. D 81, 026006 (2010) arXiv:0911.2417 [hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  52. de Vega H.J., Egusquiza I.L.: Planetoid string solutions in 3 + 1 axisymmetric spacetimes. Phys. Rev. D 54, 7513 (1996) arXiv:hep-th/9607056

    Article  ADS  Google Scholar 

  53. Beccaria M., Forini V., Tirziu A., Tseytlin A.A.: Structure of large spin expansion of anomalous dimensions at strong coupling. Nucl. Phys. B 812, 144 (2009) arXiv:0809.5234

    Article  MathSciNet  ADS  MATH  Google Scholar 

  54. Basso B., Korchemsky G.P.: Anomalous dimensions of high-spin operators beyond the leading order. Nucl. Phys. B 775, 1 (2007) arXiv:hep-th/0612247

    Article  MathSciNet  ADS  MATH  Google Scholar 

  55. Freyhult, L.: Review of AdS/CFT Integrability, Chapter III.4: Twist states and the cusp anomalous dimension. arXiv:1012.3993 [hep-th]

  56. Frolov S., Tirziu A., Tseytlin A.A.: Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT. Nucl. Phys. B 766, 232 (2007) arXiv:hep-th/0611269

    Article  MathSciNet  ADS  MATH  Google Scholar 

  57. Tirziu A., Tseytlin A.A.: Quantum corrections to energy of short spinning string in AdS5. Phys. Rev. D 78, 066002 (2008) arXiv:0806.4758

    Article  MathSciNet  ADS  Google Scholar 

  58. Kruczenski M.: A note on twist two operators in N = 4 SYM and Wilson loops in Minkowski signature. JHEP 0212, 024 (2002) arXiv:hep-th/0210115

    Article  MathSciNet  ADS  Google Scholar 

  59. Kruczenski M., Roiban R., Tirziu A., Tseytlin A.A.: Strong-coupling expansion of cusp anomaly and gluon amplitudes from quantum open strings in AdS 5 × S 5. Nucl. Phys. B 791, 93 (2008) arXiv:0707.4254

    Article  MathSciNet  ADS  MATH  Google Scholar 

  60. Kruczenski M.: Spiky strings and single trace operators in gauge theories. JHEP 0508, 014 (2005) arXiv:hep-th/0410226

    Article  MathSciNet  ADS  Google Scholar 

  61. Kruczenski M., Tseytlin A.A.: Spiky strings, light-like Wilson loops and pp-wave anomaly. Phys. Rev. D 77, 126005 (2008) arXiv:0802.2039

    Article  MathSciNet  ADS  Google Scholar 

  62. Larsen A.L., Khan A.: Novel explicit multi spin string solitons in AdS(5). Nucl. Phys. B 686, 75 (2004) arXiv:hep-th/0312184

    Article  MathSciNet  ADS  MATH  Google Scholar 

  63. Ryang S.: Folded three-spin string solutions in AdS(5) x S5. JHEP 0404, 053 (2004) arXiv:hep-th/0403180

    Article  MathSciNet  ADS  Google Scholar 

  64. Irrgang A., Kruczenski M.: Double-helix Wilson loops: case of two angular momenta. JHEP 0912, 014 (2009) arXiv:0908.3020

    Article  MathSciNet  ADS  Google Scholar 

  65. Belitsky A.V., Gorsky A.S., Korchemsky G.P.: Logarithmic scaling in gauge/string correspondence. Nucl. Phys. B 748, 24 (2006) arXiv:hep-th/0601112

    Article  MathSciNet  ADS  MATH  Google Scholar 

  66. Russo J.G.: Anomalous dimensions in gauge theories from rotating strings in AdS(5) x S(5). JHEP 0206, 038 (2002) arXiv:hep-th/0205244

    Article  ADS  Google Scholar 

  67. Giombi S., Ricci R., Roiban R., Tseytlin A.A., Vergu C.: Generalized scaling function from light-cone gauge AdS 5 × S 5 superstring. JHEP 1006, 060 (2010) arXiv:1002.0018

    Article  MathSciNet  ADS  Google Scholar 

  68. Beisert N., Frolov S., Staudacher M., Tseytlin A.A.: Precision spectroscopy of AdS/CFT. JHEP 0310, 037 (2003) arXiv:hep-th/0308117

    Article  MathSciNet  ADS  Google Scholar 

  69. Kruczenski M., Tirziu A.: Spiky strings in Bethe Ansatz at strong coupling. Phys. Rev. D 81, 106004 (2010) arXiv:1002.4843

    Article  ADS  Google Scholar 

  70. Ishizeki R., Kruczenski M., Tirziu A., Tseytlin A.A.: Spiky strings in AdS 3 × S 1 and their AdS-pp-wave limits. Phys. Rev. D 79, 026006 (2009) arXiv:0812.2431

    Article  MathSciNet  ADS  Google Scholar 

  71. Minahan J.A.: Circular semiclassical string solutions on AdS(5) x S5. Nucl. Phys. B 648, 203 (2003) arXiv:hep-th/0209047

    Article  MathSciNet  ADS  MATH  Google Scholar 

  72. Engquist J., Minahan J.A., Zarembo K.: Yang-Mills duals for semiclassical strings on AdS(5) x S5. JHEP 0311, 063 (2003) arXiv:hep-th/0310188

    Article  MathSciNet  ADS  Google Scholar 

  73. Kruczenski M., Tseytlin A.A.: Semiclassical relativistic strings in S5 and long coherent operators in N = 4 SYM theory. JHEP 0409, 038 (2004) arXiv:hep-th/0406189

    Article  MathSciNet  ADS  Google Scholar 

  74. Ryang S.: Wound and rotating strings in AdS(5) x S5. JHEP 0508, 047 (2005) arXiv:hep-th/0503239

    Article  MathSciNet  ADS  Google Scholar 

  75. Hofman D.M., Maldacena J.M.: Giant magnons. J. Phys. A 39, 13095 (2006) arXiv:hep-th/0604135

    Article  MathSciNet  MATH  Google Scholar 

  76. Dorey N.: Magnon bound states and the AdS/CFT correspondence. J. Phys. A 39, 13119 (2006) arXiv:hep-th/0604175

    Article  MathSciNet  MATH  Google Scholar 

  77. Chen H.Y., Dorey N., Okamura K.: Dyonic giant magnons. JHEP 0609, 024 (2006) arXiv:hep-th/0605155

    Article  MathSciNet  ADS  Google Scholar 

  78. Kruczenski M., Russo J., Tseytlin A.A.: Spiky strings and giant magnons on S5. JHEP 0610, 002 (2006) arXiv:hep-th/0607044

    Article  MathSciNet  ADS  Google Scholar 

  79. Arutyunov G., Frolov S., Zamaklar M.: Finite-size effects from giant magnons. Nucl. Phys. B 778, 1 (2007) arXiv:hep-th/0606126

    Article  MathSciNet  ADS  MATH  Google Scholar 

  80. Minahan J.A., Tirziu A., Tseytlin A.A.: Infinite spin limit of semiclassical string states. JHEP 0608, 049 (2006) arXiv:hep-th/0606145

    Article  MathSciNet  ADS  Google Scholar 

  81. Spradlin M., Volovich A.: Dressing the giant magnon. JHEP 0610, 012 (2006) arXiv:hep-th/0607009

    Article  MathSciNet  ADS  Google Scholar 

  82. Bobev N.P., Rashkov R.C.: Multispin giant magnons. Phys. Rev. D 74, 046011 (2006) arXiv:hep-th/0607018

    Article  ADS  Google Scholar 

  83. Ryang S.: Three-spin giant magnons in AdS(5) x S5. JHEP 0612, 043 (2006) arXiv:hep-th/0610037

    Article  MathSciNet  ADS  Google Scholar 

  84. Okamura K., Suzuki R.: A perspective on classical strings from complex sine- Gordon solitons. Phys. Rev. D 75, 046001 (2007) arXiv:hep-th/0609026

    Article  MathSciNet  ADS  Google Scholar 

  85. Ishizeki R., Kruczenski M.: Single spike solutions for strings on S2 and S3. Phys. Rev. D 76, 126006 (2007) arXiv:0705.2429

    Article  MathSciNet  ADS  Google Scholar 

  86. Mosaffa A.E., Safarzadeh B.: Dual spikes: new spiky string solutions. JHEP 0708, 017 (2007) arXiv:0705.3131

    Article  MathSciNet  ADS  Google Scholar 

  87. Ishizeki R., Kruczenski M., Spradlin M., Volovich A.: Scattering of single spikes. JHEP 0802, 009 (2008) arXiv:0710.2300

    Article  ADS  Google Scholar 

  88. Abbott M.C., Aniceto I.V.: Vibrating giant spikes and the large-winding sector. JHEP 0806, 088 (2008) arXiv:0803.4222

    Article  ADS  Google Scholar 

  89. Ahn C., Bozhilov P.: Finite-size effects for single spike. JHEP 0807, 105 (2008) arXiv:0806.1085

    Article  ADS  Google Scholar 

  90. Ryang S.: Conformal SO(2,4) Transformations for the helical AdS String solution. JHEP 0805, 021 (2008) arXiv:0803.3855

    Article  MathSciNet  ADS  Google Scholar 

  91. Hayashi H., Okamura K., Suzuki R., Vicedo B.: Large winding sector of AdS/CFT. JHEP 0711, 033 (2007) arXiv:0709.4033

    Article  MathSciNet  ADS  Google Scholar 

  92. Okamura, K.: Aspects of Integrability in AdS/CFT Duality. arXiv:0803.3999

  93. Okamura, K.: Giant Spinons. arXiv:0911.1528

  94. Dorey N., Vicedo B.: On the dynamics of finite-gap solutions in classical string theory. JHEP 0607, 014 (2006) hep-th/0601194

    Article  MathSciNet  ADS  Google Scholar 

  95. Zakharov, V.E., Mikhailov, A.V.: Relativistically invariant two-dimensional models in field theory integrable by the inverse problem technique. Sov. Phys. JETP 47, 1017 (1978) [Zh. Eksp. Teor. Fiz. 74, 1953 (1978)]

  96. Zakharov, V.E., Mikhailov, A.V.: On the integrability of classical spinor models in two-dimensional space-time. Commun. Math. Phys. 74, 21 (1980)

    Google Scholar 

  97. Ogielski A.T., Prasad M.K., Sinha A., Wang L.L.: Backlund transformations and local conservation laws for principal chiral fields. Phys. Lett. B 91, 387 (1980)

    Article  MathSciNet  ADS  Google Scholar 

  98. Harnad J.P., Saint Aubin Y., Shnider S.: Backlund transformations for nonlinear sigma models with values in riemannian symmetric spaces. Commun. Math. Phys. 92, 329 (1984)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  99. Arutyunov, G., Staudacher, M.: Matching higher conserved charges for strings and spins. JHEP (2006)., 004 (2004). arXiv:hep-th/0310182

  100. Kalousios C., Spradlin M., Volovich A.: Dressing the giant magnon. II. JHEP 0703, 020 (2007) arXiv:hep-th/0611033

    Article  MathSciNet  ADS  Google Scholar 

  101. Jevicki A., Kalousios C., Spradlin M., Volovich A.: Dressing the Giant Gluon. JHEP 0712, 047 (2007) arXiv:0708.0818

    Article  MathSciNet  ADS  Google Scholar 

  102. Grigoriev M., Tseytlin A.A.: Pohlmeyer reduction of AdS 5 × S 5 superstring sigma model. Nucl. Phys. B 800, 450 (2008) arXiv:0711.0155

    Article  MathSciNet  ADS  MATH  Google Scholar 

  103. Grigoriev, M., Tseytlin, A.A.: On reduced models for superstrings on AdS n × S n. Int. J. Mod. Phys. A 23, 2107 (2008). arXiv:0806.2623

  104. Hoare B., Iwashita Y., Tseytlin A.A.: Pohlmeyer-reduced form of string theory in AdS 5 × S 5: semiclassical expansion. J. Phys. A 42, 375204 (2009) arXiv:0906.3800

    Article  MathSciNet  Google Scholar 

  105. Iwashita Y.: One-loop corrections to AdS 5 × S 5 superstring partition function via Pohlmeyer reduction. J. Phys. A 43, 345403 (2010) arXiv:1005.4386

    Article  MathSciNet  Google Scholar 

  106. Mikhailov A., Schafer-Nameki S.: Sine-Gordon-like action for the Superstring in AdS(5) x S(5). JHEP 0805, 075 (2008) arXiv:0711.0195

    Article  MathSciNet  ADS  Google Scholar 

  107. Miramontes J.L.: Pohlmeyer reduction revisited. JHEP 0810, 087 (2008) arXiv:0808.3365

    Article  MathSciNet  ADS  Google Scholar 

  108. Hollowood T.J., Miramontes J.L.: Magnons, their solitonic avatars and the Pohlmeyer reduction. JHEP 0904, 060 (2009) arXiv:0902.2405

    Article  MathSciNet  ADS  Google Scholar 

  109. Jevicki A., Jin K., Kalousios C., Volovich A.: Generating AdS string solutions. JHEP 0803, 032 (2008) arXiv:0712.1193

    Article  MathSciNet  ADS  Google Scholar 

  110. Jevicki A., Jin K.: Solitons and AdS string solutions. Int. J. Mod. Phys. A 23, 2289 (2008) arXiv:0804.0412

    Article  MathSciNet  ADS  Google Scholar 

  111. Jevicki A., Jin K.: Moduli dynamics of AdS3 strings. JHEP 0906, 064 (2009) arXiv:0903.3389

    Article  MathSciNet  ADS  Google Scholar 

  112. Aniceto, I., Jevicki, A.: N-body dynamics of giant magnons in RxS2. arXiv:0810.4548

  113. Alday, L.F., Maldacena, J.: Minimal surfaces in AdS and the eight-gluon scattering amplitude at strong coupling. arXiv:0903.4707

  114. Alday, L.F., Maldacena, J.: Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space. JHEP 0911, 082 (2009). arXiv:0904.0663

    Google Scholar 

  115. Alday, L.F., Gaiotto, D., Maldacena, J.: Thermodynamic Bubble Ansatz. arXiv:0911.4708

  116. Alday, L.F., Maldacena, J., Sever, A., Vieira, P.: Y-system for scattering amplitudes. arXiv:1002.2459

  117. Dorn, H., Jorjadze, G., Wuttke, S.: On spacelike and timelike minimal surfaces in AdS n . arXiv:0903.0977

  118. Sakai K., Satoh Y.: A note on string solutions in AdS3. JHEP 0910, 001 (2009) arXiv:0907.5259

    Article  MathSciNet  ADS  Google Scholar 

  119. Ryang, S.: Asymptotic AdS string solutions for null polygonal Wilson loops in R 1,2. arXiv:0910.4796

  120. Dorn, H., Drukker, N., Jorjadze, G., Kalousios, C.: Space-like minimal surfaces in AdS x S. arXiv:0912.3829

  121. Jevicki, A., Jin, K.: Series solution and minimal surfaces in AdS. arXiv:0911.1107

  122. Burrington, B.A., Gao, P.: Minimal surfaces in AdS space and integrable systems. arXiv:0911.4551

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  1. Blackett Laboratory, Imperial College London, London, SW7 2AZ, UK

    Arkady A. Tseytlin

  2. Lebedev Institute, Moscow, Russia

    Arkady A. Tseytlin

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Tseytlin, A.A. Review of AdS/CFT Integrability, Chapter II.1: Classical AdS 5 × S 5 String Solutions. Lett Math Phys 99, 103–125 (2012). https://doi.org/10.1007/s11005-011-0466-0

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