On the spectrum of the AdS5 × S5 string at large λ

Journal of High Energy Physics

Volumn 2011, Issue 3, 2011, Pages

  Passerini, Filippo ^a   Plefka, Jan ^a   Semenoff, Gordon W ^b   Young, Donovan ^c  

^a HUMBOLDT UNIVERSITY   (Germany)

^b UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^c UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

AdS CFT correspondence; Field theories in lower dimensions

Indexed keywords

EID: 80053095212     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP03(2011)046     Document Type: Article

References (58)

1. J.M. Maldacena, The large N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200] [SPIRES].
2. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [SPIRES].
3. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [SPIRES].
4. J.A. Minahan and K. Zarembo, The Bethe-ansatz for N = 4 super Yang-Mills, JHEP 03 (2003) 013 [hep-th/0212208] [SPIRES].
5. N. Beisert and M. Staudacher, The N = 4 SYM Integrable Super Spin Chain, Nucl. Phys. B 670 (2003) 439 [hep-th/0307042] [SPIRES].
6. N. Beisert, C. Kristjansen and M. Staudacher, The dilatation operator of N = 4 super Yang-Mills theory, Nucl. Phys. B 664 (2003) 131 [hep-th/0303060] [SPIRES].
7. 5 superstring, Phys. Rev. D 69 (2004) 046002 [hep-th/0305116] [SPIRES].
8. 5 and scalar operators in N = 4 SYM theory, Comptes Rendus Physique 5 (2004) 1049 [hep-th/0407218] [SPIRES].
9. A.V. Belitsky, V.M. Braun, A.S. Gorsky and G.P. Korchemsky, Integrability in QCD and beyond, Int. J. Mod. Phys. A 19 (2004) 4715 [hep-th/0407232] [SPIRES].
10. N. Beisert, The dilatation operator of N = 4 super Yang-Mills theory and integrability, Phys. Rept. 405 (2005) 1 [hep-th/0407277] [SPIRES].
11. N. Beisert, Higher-loop integrability in N = 4 gauge theory, Comptes Rendus Physique 5 (2004) 1039 [hep-th/0409147] [SPIRES].
12. K. Zarembo, Semiclassical Bethe ansatz and AdS/CFT, Comptes Rendus Physique 5 (2004) 1081 [hep-th/0411191] [SPIRES].
13. J.A. Minahan, A brief introduction to the Bethe ansatz in N = 4 super-Yang-Mills, J. Phys. A 39 (2006) 12657 [SPIRES].
14. 5 Superstring. Part I, J. Phys. A 42 (2009) 254003 [arXiv:0901.4937] [SPIRES].
15. N. Beisert et al., Review of AdS/CFT Integrability: An Overview, arXiv:1012.3982 [SPIRES].
16. N. Beisert and M. Staudacher, Long-range PSU(2, 2|4) Bethe ansaetze for gauge theory and strings, Nucl. Phys. B 727 (2005) 1 [hep-th/0504190] [SPIRES].
17. N. Beisert, B. Eden and M. Staudacher, Transcendentality and crossing, J. Stat. Mech. (2007) P01021 [hep-th/0610251] [SPIRES].
18. Z. Bern, M. Czakon, L.J. Dixon, D.A. Kosower and V.A. Smirnov, The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory, Phys. Rev. D 75 (2007) 085010 [hep-th/0610248] [SPIRES].
19. B. Basso, G.P. Korchemsky and J. Kotanski, Cusp anomalous dimension in maximally supersymmetric Yang-Mills theory at strong coupling, Phys. Rev. Lett. 100 (2008) 091601 [arXiv:0708.3933] [SPIRES].
20. 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].
21. 5, JHEP 06 (2002) 007 [hep-th/0204226] [SPIRES].
22. A.A. Tseytlin, Spinning strings and AdS/CFT duality, in From Fields to Stings: Circumnavigating Theoretical Physics, M. Shifman, A. Vainshtein and J. Wheater eds, World Scientific, Singapore (2005) hep-th/0311139 [SPIRES].
23. J. Plefka, Spinning strings and integrable spin chains in the AdS/CFT correspondence, Living Rev. Rel. 8 (2005) 9 [hep-th/0507136] [SPIRES].
24. S. Frolov, A. Tirziu and A.A. Tseytlin, Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT, Nucl. Phys. B 766 (2007) 232 [hep-th/0611269] [SPIRES].
25. R. Roiban and A.A. Tseytlin, Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators, Phys. Rev. D 77 (2008) 066006 [arXiv:0712.2479] [SPIRES].
26. M. Beccaria, V. Forini, A. Tirziu and A.A. Tseytlin, Structure of large spin expansion of anomalous dimensions at strong coupling, Nucl. Phys. B 812 (2009) 144 [arXiv:0809.5234] [SPIRES].
27. 5 superstring, JHEP 06 (2010) 060 [arXiv:1002.0018] [SPIRES].
28. 5 superstring: testing asymptotic Bethe ansatz and finite size corrections, J. Phys. A 44 (2011) 045402 [arXiv:1010.4594] [SPIRES].
29. F. Fiamberti, A. Santambrogio, C. Sieg and D. Zanon, Wrapping at four loops in N = 4 SYM, Phys. Lett. B 666 (2008) 100 [arXiv:0712.3522] [SPIRES].
30. F. Fiamberti, A. Santambrogio, C. Sieg and D. Zanon, Anomalous dimension with wrapping at four loops in N = 4 SYM, Nucl. Phys. B 805 (2008) 231 [arXiv:0806.2095] [SPIRES].
31. V.N. Velizhanin, The four-loop anomalous dimension of the Konishi operator in N = 4 supersymmetric Yang-Mills theory, JETP Lett. 89 (2009) 6 [arXiv:0808.3832] [SPIRES].
32. J. Ambjørn, R.A. Janik and C. Kristjansen, Wrapping interactions and a new source of corrections to the spin-chain/string duality, Nucl. Phys. B 736 (2006) 288 [hep-th/0510171] [SPIRES].
33. T. Lukowski, A. Rej and V.N. Velizhanin, Five-Loop Anomalous Dimension of Twist-Two Operators, Nucl. Phys. B 831 (2010) 105 [arXiv:0912.1624] [SPIRES].
34. G. Arutyunov and S. Frolov, On String S-matrix, Bound States and TBA, JHEP 12 (2007) 024 [arXiv:0710.1568] [SPIRES].
35. 5 mirror, JHEP 03 (2009) 152 [arXiv:0901.1417] [SPIRES].
36. 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].
37. 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].
38. 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].
39. 5 Mirror Model, JHEP 05 (2009) 068 [arXiv:0903.0141] [SPIRES].
40. 5 mirror model, JHEP 11 (2009) 019 [arXiv:0907.2647] [SPIRES].
41. N. Gromov, V. Kazakov and P. Vieira, Exact Spectrum of Planar N = 4 Supersymmetric Yang- Mills Theory: Konishi Dimension at Any Coupling, Phys. Rev. Lett. 104 (2010) 211601 [arXiv:0906.4240] [SPIRES].
42. G. Arutyunov, S. Frolov and R. Suzuki, Five-loop Konishi from the Mirror TBA, JHEP 1004 (2010) 069 [arXiv:1002.1711] [SPIRES].
43. S. Frolov, Konishi operator at intermediate coupling, J. Phys. A 44 (2011) 065401 [arXiv:1006.5032] [SPIRES].
44. G. Arutyunov, S. Frolov and M. Staudacher, Bethe ansatz for quantum strings, JHEP 10 (2004) 016 [hep-th/0406256] [SPIRES].
45. 5: Solving SU(1|1) sector, JHEP 01 (2006) 055 [hep-th/0510208] [SPIRES].
46. 5: strong-coupling corrections to dimension of Konishi operator, JHEP 11 (2009) 013 [arXiv:0906.4294] [SPIRES].
47. 5 and AdS/CFT duality, Int. J. Mod. Phys. A 25 (2010) 319 [arXiv:0907.3238] [SPIRES].
48. 5, J. Phys. A 43 (2010) 165402 [arXiv:1001.4018] [SPIRES].
49. 5, J. Phys. A 44 (2011) 015404 [arXiv:1009.2318] [SPIRES].
50. 5 superstring in light-cone gauge and its Bethe equations, J. Phys. A 39 (2006) 13037 [hep-th/0603008] [SPIRES].
51. 5 superstring, J. Phys. A 40 (2007) 3583 [hep-th/0609157] [SPIRES].
52. 5: ?-symmetry light cone gauge, Phys. Rev. D 63 (2001) 046002 [hep-th/0007036] [SPIRES].
53. 5 superstring in the AdS light-cone gauge, JHEP 03 (2010) 003 [arXiv:0912.5105] [SPIRES].
54. 5 background and AdS/CFT correspondence, Phys. Lett. B 468 (1999) 65 [hep-th/9908114] [SPIRES].
55. 5, Phys. Rev. D 81 (2010) 045004 [arXiv:0912.1166] [SPIRES].
56. H. Dorn and G. Jorjadze, Oscillator quantization of the massive scalar particle dynamics on AdS spacetime, Phys. Lett. B 625 (2005) 117 [hep-th/0507031] [SPIRES].
57. H. Dorn, G. Jorjadze, C. Kalousios and J. Plefka, Coordinate representation of particle dynamics in AdS and in generic static spacetimes, J. Phys. A 44 (2011) 095402 [arXiv:1011.3416] [SPIRES].
58. G. Jorjadze, private communication.