Integrability and the AdS3/CFT2 correspondence

Journal of High Energy Physics

Volumn 2010, Issue 3, 2010, Pages

  Babichenko, A ^a,b   Stefanski Jr B ^c   Zarembo, K ^d,e  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

^b HOLON INSTITUTE OF TECHNOLOGY   (Israel)

^c CITY UNIVERSITY   (United Kingdom)

^d ECOLE NORMALE SUPÉRIEURE   (France)

^e UPPSALA UNIVERSITY   (Sweden)

Author keywords

AdS CFT correspondence; Bethe ansatz; Integrable equations in physics; Sigma models

Indexed keywords

EID: 77954945988     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP03(2010)058     Document Type: Article

References (108)

1. A. Strominger and C. Vafa, Microscopic origin of the Bekenstein-Hawking entropy, Phys. Lett. B 379 (1996) 99 [hep-th/9601029] [SPIRES].
2. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231
3. [Int. J. Theor. Phys. 38 (1999) 1113] [hep-th/9711200] [SPIRES].
4. 3, Adv. Theor. Math. Phys. 2 (1998) 733 [hep-th/9806194] [SPIRES].
5. 1, Phys. Lett. B 449 (1999) 180 [hep-th/9811245] [SPIRES].
6. 3 and SL(2,R) WZW model. I, J. Math. Phys. 42 (2001) 2929 [hep-th/0001053] [SPIRES].
7. 3 and the SL(2,R) WZW model. II: Euclidean black hole, J. Math. Phys. 42 (2001) 2961 [hep-th/0005183] [SPIRES].
8. 3 and the SL(2,R) WZW model. III: Correlation functions, Phys. Rev. D 65 (2002) 106006 [hep-th/0111180] [SPIRES].
9. N. Berkovits, C. Vafa and E. Witten, Conformal field theory of AdS background with Ramond-Ramond flux, JHEP 03 (1999) 018 [hep-th/9902098] [SPIRES].
10. 3 with Ramond-Ramond charge, Phys. Rev. D 60 (1999) 064014 [hep-th/9809164] [SPIRES].
11. 3, JHEP 01 (1999) 001 [hep-th/9812062] [SPIRES].
12. 3 Ramond-Ramond background in light-cone gauge, J. Math. Phys. 42 (2001) 2987 [hep-th/0011191] [SPIRES].
13. 3 backgrounds, Phys. Rev. D 71 (2005) 086007 [hep-th/0503089] [SPIRES].
14. I. Adam, A. Dekel, L. Mazzucato and Y. Oz, Integrability of type-II superstrings on Ramond-Ramond backgrounds in various dimensions, JHEP 06 (2007) 085 [hep-th/0702083] [SPIRES].
15. J.R. David and B. Sahoo, Giant magnons in the D1-D5 system, JHEP 07 (2008) 033 [arXiv:0804.3267] [SPIRES].
16. 5 superstring, Phys. Rev. D 69 (2004) 046002 [hep-th/0305116] [SPIRES].
17. V.A. Kazakov, A. Marshakov, J.A. Minahan and K. Zarembo, Classical/quantum integrability in AdS/CFT, JHEP 05 (2004) 024 [hep-th/0402207] [SPIRES].
18. 5, Commun. Math. Phys. 263 (2006) 659 [hep-th/0502226] [SPIRES].
19. N. Beisert and M. Staudacher, Long-range PSU(2, 2|4) Bethe ansätze for gauge theory and strings, Nucl. Phys. B 727 (2005) 1 [hep-th/0504190] [SPIRES].
20. M. Staudacher, The factorized S-matrix of CFT/AdS, JHEP 05 (2005) 054 [hep-th/0412188] [SPIRES].
21. N. Beisert, The SU(2|2) dynamic S-matrix, Adv. Theor. Math. Phys. 12 (2008) 945 [hep-th/0511082] [SPIRES].
22. 3 algebraic curve, JHEP 02 (2009) 040 [arXiv:0807.0437] [SPIRES].
23. 3 Bethe ansatz, JHEP 01 (2009) 016 [arXiv:0807.0777] [SPIRES].
24. 5 superstring worldsheet S-matrix and crossing symmetry, Phys. Rev. D 73 (2006) 086006 [hep-th/0603038] [SPIRES].
25. G. Arutyunov, S. Frolov and M. Staudacher, Bethe ansatz for quantum strings, JHEP 10 (2004) 016 [hep-th/0406256] [SPIRES].
26. N. Gromov, V. Kazakov and P. Vieira, Exact spectrum of anomalous dimensions of planar N = 4 supersymmetric Yang-Mills theory, Phys. Rev. Lett. 103 (2009) 131601 [arXiv:0901.3753] [SPIRES].
27. D. Bombardelli, D. Fioravanti and R. Tateo, Thermodynamic Bethe ansatz for planar AdS/CFT: a proposal, J. Phys. A 42 (2009) 375401 [arXiv:0902.3930] [SPIRES].
28. N. Gromov, V. Kazakov, A. Kozak and P. Vieira, Exact spectrum of anomalous dimensions of planar N = 4 supersymmetric Yang-Mills theory: TBA and excited states, Lett. Math. Phys. 91 (2010) 265 [arXiv:0902.4458] [SPIRES].
29. 5 mirror model, JHEP 05 (2009) 068 [arXiv:0903.0141] [SPIRES].
30. N. Gromov, Y-system and quasi-classical strings, JHEP 01 (2010) 112 [arXiv:0910.3608] [SPIRES].
31. 5 background, Nucl. Phys. B 533 (1998) 109 [hep-th/9805028] [SPIRES].
32. 3 as a coset σ-model, JHEP 09 (2008) 129 [arXiv:0806.4940] [SPIRES].
33. 3, Nucl. Phys. B 808 (2009) 80 [arXiv:0806.4948] [SPIRES].
34. 3 superspace for the type IIA superstring and D-branes, JHEP 03 (2009) 015 [arXiv:0811.1566] [SPIRES].
35. 2 as a coset supermanifold, Nucl. Phys. B 567 (2000) 61 [hep-th/9907200] [SPIRES].
36. 4, JHEP 02 (1999) 007 [hep-th/9809145] [SPIRES].
37. P.M. Cowdall and P.K. Townsend, Gauged supergravity vacua from intersecting branes, Phys. Lett. B 429 (1998) 281 [Erratum ibid. B 434 (1998) 458] [hep-th/9801165] [SPIRES].
38. H.J. Boonstra, B. Peeters and K. Skenderis, Brane intersections, anti-de Sitter spacetimes and dual superconformal theories, Nucl. Phys. B 533 (1998) 127 [hep-th/9803231] [SPIRES].
39. J.P. Gauntlett, R.C. Myers and P.K. Townsend, Supersymmetry of rotating branes, Phys. Rev. D 59 (1999) 025001 [hep-th/9809065] [SPIRES].
40. J. de Boer, A. Pasquinucci and K. Skenderis, AdS/CFT dualities involving large 2D N = 4 superconformal symmetry, Adv. Theor. Math. Phys. 3 (1999) 577 [hep-th/9904073] [SPIRES].
41. 1, Adv. Theor. Math. Phys. 9 (2005) 435 [hep-th/0403090] [SPIRES].
42. 3 × N, JHEP 03 (2003) 056 [hep-th/0302217] [SPIRES].
43. V.G. Kac, A sketch of Lie superalgebra theory, Commun. Math. Phys. 53 (1977) 31 [SPIRES].
44. L. Frappat, P. Sorba and A. Sciarrino, Dictionary on Lie superalgebras, hep-th/9607161 [SPIRES].
45. H. Lü and J.F. Vazquez-Poritz, Penrose limits of non-standard brane intersections, Class. Quant. Grav. 19 (2002) 4059 [hep-th/0204001] [SPIRES].
46. M.B. Green and J.H. Schwarz, Covariant description of superstrings, Phys. Lett. B 136 (1984) 367 [SPIRES].
47. M. Henneaux and L. Mezincescu, A sigma model interpretation of Green-Schwarz covariant superstring action, Phys. Lett. B 152 (1985) 340 [SPIRES].
48. I.N. McArthur, κ-symmetry of Green-Schwarz actions in coset superspaces, Nucl. Phys. B 573 (2000) 811 [hep-th/9908045] [SPIRES].
49. 5 superstring. Part I, J. Phys. A 42 (2009) 254003 [arXiv:0901.4937] [SPIRES].
50. 5 supertwistor space, JHEP 11 (2000) 024 [hep-th/0010104] [SPIRES].
51. 3, arXiv:0911.5228 [SPIRES].
52. M. Cvetič, H. Lü, C.N. Pope and K.S. Stelle, T-duality in the Green-Schwarz formalism and the massless/massive IIA duality map, Nucl. Phys. B 573 (2000) 149 [hep-th/9907202] [SPIRES].
53. D.E. Berenstein, J.M. Maldacena and H.S. Nastase, Strings in flat space and pp waves from N = 4 super Yang-Mills, JHEP 04 (2002) 013 [hep-th/0202021] [SPIRES].
54. 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].
55. A. Parnachev and A.V. Ryzhov, Strings in the near plane wave background and AdS/CFT, JHEP 10 (2002) 066 [hep-th/0208010] [SPIRES].
56. 5: beyond the pp-wave, Nucl. Phys. B 673 (2003) 3 [hep-th/0307032] [SPIRES].
57. C.G. Callan jr., T. McLoughlin and I. Swanson, Holography beyond the Penrose limit, Nucl. Phys. B 694 (2004) 115 [hep-th/0404007] [SPIRES].
58. 3, JHEP 06 (2008) 065 [arXiv:0804.2923] [SPIRES].
59. N. Beisert and B.I. Zwiebel, On symmetry enhancement in the PSU(1, 1|2) sector of N = 4 SYM, JHEP 10 (2007) 031 [arXiv:0707.1031] [SPIRES].
60. 5 superstring, J. Phys. A 40 (2007) 3583 [hep-th/0609157] [SPIRES].
61. 3 correspondence, JHEP 04 (2009) 135 [arXiv:0903.1747] [SPIRES].
62. 3 superstring, arXiv:0909.0697 [SPIRES].
63. S. Novikov, S.V. Manakov, L.P. Pitaevsky and V.E. Zakharov, Theory of solitons. The inverse scattering method, Contemporary Soviet Mathematics, Consultants Bureau, New York U.S.A. (1984) [SPIRES].
64. V.A. Kazakov and K. Zarembo, Classical/quantum integrability in non-compact sector of AdS/CFT, JHEP 10 (2004) 060 [hep-th/0410105] [SPIRES].
65. N. Beisert, V.A. Kazakov and K. Sakai, Algebraic curve for the SO(6) sector of AdS/CFT, Commun. Math. Phys. 263 (2006) 611 [hep-th/0410253] [SPIRES].
66. S. Schäfer-Nameki, The algebraic curve of 1-loop planar N = 4 SYM, Nucl. Phys. B 714 (2005) 3 [hep-th/0412254] [SPIRES].
67. N. Dorey and B. Vicedo, On the dynamics of finite-gap solutions in classical string theory, JHEP 07 (2006) 014 [hep-th/0601194] [SPIRES].
68. N. Dorey and B. Vicedo, A symplectic structure for string theory on integrable backgrounds, JHEP 03 (2007) 045 [hep-th/0606287] [SPIRES].
69. K. Zarembo, Semiclassical Bethe ansatz and AdS/CFT, Comptes Rendus Physique 5 (2004) 1081
70. [Fortsch. Phys. 53 (2005) 647] [hep-th/0411191] [SPIRES].
71. L.D. Faddeev and L.A. Takhtajan, Hamiltonian methods in the theory of solitons, Springer Series In Soviet Mathematics, Springer, Berlin Germany (1987) [SPIRES].
72. V.K. Dobrev and V.B. Petkova, Group theoretical approach to extended conformal supersymmetry: function space realizations and invariant differential operators, Fortsch. Phys. 35 (1987) 537 [SPIRES].
73. I. Penkov and V. Serganova, Representations of classical Lie superalgebras of type I, Indag. Math. 3 (1992) 419.
74. N. Beisert, V.A. Kazakov, K. Sakai and K. Zarembo, Complete spectrum of long operators in N = 4 SYM at one loop, JHEP 07 (2005) 030 [hep-th/0503200] [SPIRES].
75. N. Gromov and P. Vieira, Complete 1-loop test of AdS/CFT, JHEP 04 (2008) 046 [arXiv:0709.3487] [SPIRES].
76. B. Vicedo, Semiclassical quantisation of finite-gap strings, JHEP 06 (2008) 086 [arXiv:0803.1605] [SPIRES].
77. 5 strings, JHEP 11 (2006) 070 [hep-th/0609044] [SPIRES].
78. N. Beisert, B. Eden and M. Staudacher, Transcendentality and crossing, J. Stat. Mech. (2007) P01021 [hep-th/0610251] [SPIRES].
79. N. Dorey, D.M. Hofman and J.M. Maldacena, On the singularities of the magnon S-matrix, Phys. Rev. D 76 (2007) 025011 [hep-th/0703104] [SPIRES].
80. G. Arutyunov and S. Frolov, The dressing factor and crossing equations, J. Phys. A 42 (2009) 425401 [arXiv:0904.4575] [SPIRES].
81. D. Volin, Minimal solution of the AdS/CFT crossing equation, J. Phys. A 42 (2009) 372001 [arXiv:0904.4929] [SPIRES].
82. L.D. Faddeev and N.Y. Reshetikhin, Integrability of the principal chiral field model in (1 + 1)-dimension, Ann. Phys. 167 (1986) 227 [SPIRES].
83. N. Gromov, V. Kazakov, K. Sakai and P. Vieira, Strings as multi-particle states of quantum σ-models, Nucl. Phys. B 764 (2007) 15 [hep-th/0603043] [SPIRES].
84. 3 × R, Nucl. Phys. B 780 (2007) 143 [hep-th/0605026] [SPIRES].
85. N. Gromov, V. Kazakov and P. Vieira, Classical limit of quantum σ-models from Bethe ansatz, PoS(SOLVAY)005 [hep-th/0703137] [SPIRES].
86. 1 and its associated σ-model, JHEP 07 (2003) 035 [hep-th/0305151] [SPIRES].
87. M. Kruczenski, Spin chains and string theory, Phys. Rev. Lett. 93 (2004) 161602 [hep-th/0311203] [SPIRES].
88. 5 string theory and low energy expansion of ferromagnetic spin chains, Nucl. Phys. B 692 (2004) 3 [hep-th/0403120] [SPIRES].
89. R. Hernandez and E. Lopez, The SU(3) spin chain σ-model and string theory, JHEP 04 (2004) 052 [hep-th/0403139] [SPIRES].
90. B. Stefański jr. and A.A. Tseytlin, Large spin limits of AdS/CFT and generalized Landau-Lifshitz equations, JHEP 05 (2004) 042 [hep-th/0404133] [SPIRES].
91. M. Kruczenski and A.A. Tseytlin, Semiclassical relativistic strings in S5 and long coherent operators in N = 4 SYM theory, JHEP 09 (2004) 038 [hep-th/0406189] [SPIRES].
92. R. Hernandez and E. Lopez, Spin chain σ-models with fermions, JHEP 11 (2004) 079 [hep-th/0410022] [SPIRES].
93. 5 superstring, Nucl. Phys. B 718 (2005) 83 [hep-th/0503185] [SPIRES].
94. B. Stefański jr., Landau-Lifshitz σ-models, fermions and the AdS/CFT correspondence, JHEP 07 (2007) 009 [arXiv:0704.1460] [SPIRES].
95. 3 black holes and a stringy exclusion principle, JHEP 12 (1998) 005 [hep-th/9804085] [SPIRES].
96. N. Seiberg and E. Witten, The D1/D5 system and singular CFT, JHEP 04 (1999) 017 [hep-th/9903224] [SPIRES].
97. F. Larsen and E.J. Martinec, U(1) charges and moduli in the D1-D5 system, JHEP 06 (1999) 019 [hep-th/9905064] [SPIRES].
98. 8 supersymmetric orbifold σ-model, Nucl. Phys. B 524 (1998) 159 [hep-th/9712061] [SPIRES].
99. O. Lunin and S.D. Mathur, Three-point functions for MN/SN orbifolds with N = 4 supersymmetry, Commun. Math. Phys. 227 (2002) 385 [hep-th/0103169] [SPIRES].
100. A. Jevicki, M. Mihailescu and S. Ramgoolam, Gravity from CFT on SN(X): symmetries and interactions, Nucl. Phys. B 577 (2000) 47 [hep-th/9907144] [SPIRES].
101. Y. Hikida and Y. Sugawara, Superstrings on PP-wave backgrounds and symmetric orbifolds, JHEP 06 (2002) 037 [hep-th/0205200] [SPIRES].
102. 3, the orbifold CFT and strings in the pp-wave limit, Nucl. Phys. B 642 (2002) 91 [hep-th/0206107] [SPIRES].
103. 2 duality, JHEP 11 (2002) 016 [hep-th/0206166] [SPIRES].
104. E. Gava and K.S. Narain, Proving the pp-wave/CFT2 duality, JHEP 12 (2002) 023 [hep-th/0208081] [SPIRES].
105. 3, JHEP 12 (1998) 026 [hep-th/9812046] [SPIRES].
106. 3, JHEP 12 (1998) 026 [hep-th/9812046] [SPIRES].
107. 3 × S3 with Ramond-Ramond fluxes, JHEP 10 (2009) 051 [arXiv:0907.1242] [SPIRES].
108. 2, arXiv:0912.0959 [SPIRES].