Series solution and minimal surfaces in AdS

Journal of High Energy Physics

Volumn 2010, Issue 3, 2010, Pages

  Jevicki, Antal ^a   Jin, Kewang ^a  

^a BROWN UNIVERSITY   (United States)

Author keywords

AdS CFT correspondence; Bosonic strings; Integrable field theories

Indexed keywords

EID: 77954943231     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP03(2010)028     Document Type: Article

References (58)

1. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, A semi-classical limit of the gauge/string correspondence, Nucl. Phys. B 636 (2002) 99 [hep-th/0204051] [SPIRES].
2. N. Beisert, B. Eden and M. Staudacher, Transcendentality and crossing, J. Stat. Mech. (2007) P01021 [hep-th/0610251] [SPIRES].
3. A.A. Tseytlin, Spinning strings and AdS/CFT duality, hep-th/0311139 [SPIRES].
4. A.A. Tseytlin, Semiclassical strings and AdS/CFT, hep-th/0409296 [SPIRES].
5. J. Plefka, Spinning strings and integrable spin chains in the AdS/CFT correspondence, Living Rev. Rel. 8 (2005) 9 [hep-th/0507136] [SPIRES].
6. M. Kruczenski, Spiky strings and single trace operators in gauge theories, JHEP 08 (2005) 014 [hep-th/0410226] [SPIRES].
7. M. Kruczenski and A.A. Tseytlin, Spiky strings, light-like Wilson loops and pp-wave anomaly, Phys. Rev. D 77 (2008) 126005 [arXiv:0802.2039] [SPIRES].
8. N. Dorey, A Spin Chain from String Theory, Acta Phys. Polon. B 39 (2008) 3081 [arXiv:0805.4387] [SPIRES].
9. N. Dorey and M. Losi, Spiky Strings and Spin Chains, arXiv:0812.1704 [SPIRES].
10. L.F. Alday and J.M. Maldacena, Gluon scattering amplitudes at strong coupling, JHEP 06 (2007) 064 [arXiv:0705.0303] [SPIRES].
11. L.F. Alday and J. Maldacena, Comments on gluon scattering amplitudes via AdS/CFT, JHEP 11 (2007) 068 [arXiv:0710.1060] [SPIRES].
12. L.F. Alday and R. Roiban, Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence, Phys. Rept. 468 (2008) 153 [arXiv:0807.1889] [SPIRES].
13. J.M. Drummond, G.P. Korchemsky and E. Sokatchev, Conformal properties of four-gluon planar amplitudes and Wilson loops, Nucl. Phys. B 795 (2008) 385 [arXiv:0707.0243] [SPIRES].
14. J.M. Drummond, J. Henn, G.P. Korchemsky and E. Sokatchev, On planar gluon amplitudes/Wilson loops duality, Nucl. Phys. B 795 (2008) 52 [arXiv:0709.2368] [SPIRES].
15. J.M. Drummond, J. Henn, G.P. Korchemsky and E. Sokatchev, Hexagon Wilson loop = six-gluon MHV amplitude, Nucl. Phys. B 815 (2009) 142 [arXiv:0803.1466] [SPIRES].
16. A. Brandhuber, P. Heslop and G. Travaglini, MHV Amplitudes in N = 4 Super Yang-Mills and Wilson Loops, Nucl. Phys. B 794 (2008) 231 [arXiv:0707.1153] [SPIRES].
17. C. Anastasiou et al., Two-Loop Polygon Wilson Loops in N = 4 SYM, JHEP 05 (2009) 115 [arXiv:0902.2245] [SPIRES].
18. A. Brandhuber, P. Heslop, V.V. Khoze and G. Travaglini, Simplicity of Polygon Wilson Loops in N = 4 SYM, JHEP 01 (2010) 050 [arXiv:0910.4898] [SPIRES].
19. Z. Bern, L.J. Dixon and V.A. Smirnov, Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond, Phys. Rev. D 72 (2005) 085001 [hep-th/0505205] [SPIRES].
20. C. Anastasiou, Z. Bern, L.J. Dixon and D.A. Kosower, Planar amplitudes in maximally supersymmetric Yang-Mills theory, Phys. Rev. Lett. 91 (2003) 251602 [hep-th/0309040] [SPIRES].
21. Z. Bern, J.J.M. Carrasco, H. Johansson and D.A. Kosower, Maximally supersymmetric planar Yang-Mills amplitudes at five loops, Phys. Rev. D 76 (2007) 125020 [arXiv:0705.1864] [SPIRES].
22. Z. Bern et al., The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory, Phys. Rev. D 78 (2008) 045007 [arXiv:0803.1465] [SPIRES].
23. F. Cachazo, M. Spradlin and A. Volovich, Leading Singularities of the Two-Loop Six-Particle MHV Amplitude, Phys. Rev. D 78 (2008) 105022 [arXiv:0805.4832] [SPIRES].
24. M. Spradlin, A. Volovich and C. Wen, Three-Loop Leading Singularities and BDS Ansatz for Five Particles, Phys. Rev. D 78 (2008) 085025 [arXiv:0808.1054] [SPIRES].
25. C. Vergu, The two-loop MHV amplitudes in N = 4 supersymmetric Yang- Mills theory, arXiv:0908.2394 [SPIRES].
26. A. Mironov, A. Morozov and T.N. Tomaras, On n-point Amplitudes in N = 4 SYM, JHEP 11 (2007) 021 [arXiv:0708.1625] [SPIRES].
27. n-symmetric configurations, Nucl. Phys. B 808 (2009) 365 [arXiv:0712.0159] [SPIRES].
28. H. Itoyama and A. Morozov, Boundary Ring or a Way to Construct Approximate NG Solutions with Polygon Boundary Conditions. II. Polygons which admit an inscribed circle, Prog. Theor. Phys. 120 (2008) 231 [arXiv:0712.2316] [SPIRES].
29. S. Dobashi, K. Ito and K. Iwasaki, A Numerical Study of Gluon Scattering Amplitudes in N = 4 Super Yang-Mills Theory at Strong Coupling, JHEP 07 (2008) 088 [arXiv:0805.3594] [SPIRES].
30. S. Dobashi and K. Ito, Discretized Minimal Surface and the BDS Conjecture in N = 4 Super Yang-Mills Theory at Strong Coupling, Nucl. Phys. B 819 (2009) 18 [arXiv:0901.3046] [SPIRES].
31. K. Pohlmeyer, Integrable Hamiltonian Systems and Interactions Through Quadratic Constraints, Commun. Math. Phys. 46 (1976) 207 [SPIRES].
32. A. Jevicki, K. Jin, C. Kalousios and A. Volovich, Generating AdS String Solutions, JHEP 03 (2008) 032 [arXiv:0712.1193] [SPIRES].
33. H.J. de Vega and N. Sanchez, Exact integrability of strings in D-dimensional de Sitter spacetime, Phys. Rev. D 47 (1993) 3394 [SPIRES].
34. A. Jevicki and K. Jin, Solitons and AdS String Solutions, Int. J. Mod. Phys. A 23 (2008) 2289 [arXiv:0804.0412] [SPIRES].
35. 3 Strings, JHEP 06 (2009) 064 [arXiv:0903.3389] [SPIRES].
36. N. Berkovits and J. Maldacena, Fermionic T-duality, Dual Superconformal Symmetry and the Amplitude/Wilson Loop Connection, JHEP 09 (2008) 062 [arXiv:0807.3196] [SPIRES].
37. L.F. Alday, J.M. Henn, J. Plefka and T. Schuster, Scattering into the fifth dimension of N = 4 super Yang- Mills, arXiv:0908.0684 [SPIRES].
38. n, JHEP 05 (2009) 048 [arXiv:0903.0977] [SPIRES].
39. 3, JHEP 10 (2009) 001 [arXiv:0907.5259] [SPIRES].
40. m, JHEP 02 (2010) 013 [arXiv:0910.0934] [SPIRES].
41. 1,2, arXiv:0910.4796 [SPIRES].
42. L.F. Alday and J. Maldacena, Minimal surfaces in AdS and the eight-gluon scattering amplitude at strong coupling, arXiv:0903.4707 [SPIRES].
43. L.F. Alday and J. Maldacena, Null polygonal Wilson loops and minimal surfaces in Antide-Sitter space, JHEP 11 (2009) 082 [arXiv:0904.0663] [SPIRES].
44. D. Gaiotto, G.W. Moore and A. Neitzke, Four-dimensional wall-crossing via three-dimensional field theory, arXiv:0807.4723 [SPIRES].
45. D. Gaiotto, G.W. Moore and A. Neitzke, Wall-crossing, Hitchin Systems and the WKB Approximation, arXiv:0907.3987 [SPIRES].
46. B.M. McCoy, C.A. Tracy and T.T. Wu, Painleve Functions of the Third Kind, J. Math. Phys. 18 (1977) 1058 [SPIRES].
47. A.B. Zamolodchikov, Painleve III and 2 - D polymers, Nucl. Phys. B 432 (1994) 427 [hep-th/9409108] [SPIRES].
48. E. Corrigan, D.B. Fairlie, R.G. Yates and P. Goddard, The Construction of Selfdual Solutions to SU(2) Gauge Theory, Commun. Math. Phys. 58 (1978) 223 [SPIRES].
49. p > in a lattice gauge model, Phys. Lett. B 117 (1982) 72 [SPIRES].
50. N.S. Manton, An Effective Lagrangian for Solitons, Nucl. Phys. B 150 (1979) 397 [SPIRES].
51. B.M. Barbashov, V.V. Nesterenko and A.M. Chervyakov, General Solutions Of Nonlinear Equations In The Geometric Theory Of The Relativistic String, Commun. Math. Phys. 84 (1982) 471 [SPIRES].
52. B.M. Barbashov, V.V. Nesterenko and A.M. Chervyakov, Reduction in the model of a relativistic string for arbitrary dimension of Minkowski space, Theor. Math. Phys. 59 (1984) 458 [SPIRES];
53. I. Bakas, Q.-H. Park and H.-J. Shin, Lagrangian Formulation of Symmetric Space sine-Gordon Models, Phys. Lett. B 372 (1996) 45 [hep-th/9512030] [SPIRES].
54. 5 superstring σ-model, Nucl. Phys. B 800 (2008) 450 [arXiv:0711.0155] [SPIRES].
55. 5, JHEP 05 (2008) 075 [arXiv:0711.0195] [SPIRES].
56. n, Int. J. Mod. Phys. A 23 (2008) 2107 [arXiv:0806.2623] [SPIRES].
57. J.L. Miramontes, Pohlmeyer reduction revisited, JHEP 10 (2008) 087 [arXiv:0808.3365] [SPIRES].
58. L.F. Alday, D. Gaiotto and J. Maldacena, Thermodynamic Bubble Ansatz, arXiv:0911.4708 [SPIRES].