The spectral problem for strings on twisted AdS 5×S 5

Nuclear Physics B

Volumn 860, Issue 3, 2012, Pages 339-376

  De Leeuw, Marius ^a   Van Tongeren, Stijn J ^b  

^a ETH ZURICH   (Switzerland)

^b UTRECHT UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84858999083     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2012.03.004     Document Type: Article

References (80)

1. Maldacena J.M. The large N limit of superconformal field theories and supergravity. Adv. Theor. Math. Phys.. Internat. J. Theoret. Phys. 1999, 38:1113. arxiv:hep-th/9711200.
2. 5 superstring. Part I. J. Phys. A 2009, 42:254003. arxiv:0901.4937.
3. Beisert N., Ahn C., Alday L.F., Bajnok Z., Drummond J.M., Freyhult L., Gromov N., Janik R.A., et al. Review of AdS/CFT integrability: an overview arxiv:1012.3982.
4. Kachru S., Silverstein E. 4-D conformal theories and strings on orbifolds. Phys. Rev. Lett. 1998, 80:4855. arxiv:hep-th/9802183.
5. Lunin O., Maldacena J.M. Deforming field theories with U(1)×U(1) global symmetry and their gravity duals. JHEP 2005, 0505:033. arxiv:hep-th/0502086.
6. Frolov S.A., Roiban R., Tseytlin A.A. Gauge-string duality for superconformal deformations of N=4 super Yang-Mills theory. JHEP 2005, 0507:045. arxiv:hep-th/0503192.
7. Frolov S.A., Roiban R., Tseytlin A.A. Gauge-string duality for (non)supersymmetric deformations of N=4 super Yang-Mills theory. Nuclear Phys. B 2005, 731:1. arxiv:hep-th/0507021.
8. Zoubos K. Review of AdS/CFT integrability, Chapter IV.2: Deformations, orbifolds and open boundaries arxiv:1012.3998.
9. Zamolodchikov A.B. Thermodynamic Bethe ansatz in relativistic models. Scaling three state Potts and Lee-Yang models. Nuclear Phys. B 1990, 342:695.
10. Kuniba A., Nakanishi T., Suzuki J. T-systems and Y-systems in integrable systems. J. Phys. A 2011, 44:103001. arxiv:1010.1344.
11. Bajnok Z. Review of AdS/CFT integrability, Chapter III.6: Thermodynamic Bethe ansatz arxiv:1012.3995.
12. Takahashi M. One-dimensional Hubbard model at finite temperature. Progr. Theoret. Phys. 1972, 47:69.
13. 5 mirror model. JHEP 2009, 0903:152. arxiv:0901.1417.
14. Arutyunov G., Frolov S. On string S-matrix, bound states and TBA. JHEP 2007, 0712:024. arxiv:0710.1568.
15. 5 mirror model. JHEP 2009, 0905:068. arxiv:0903.0141.
16. Bombardelli D., Fioravanti D., Tateo R. Thermodynamic Bethe ansatz for planar AdS/CFT: a proposal. J. Phys. A 2009, 42:375401. arxiv:0902.3930.
17. Gromov N., Kazakov V., Kozak A., Vieira P. Exact spectrum of anomalous dimensions of planar N=4 supersymmetric Yang-Mills theory: TBA and excited states. Lett. Math. Phys. 2010, 91:265. arxiv:0902.4458.
18. Arutyunov G., Frolov S., Suzuki R. Exploring the mirror TBA. JHEP 2010, 1005:031. arxiv:0911.2224.
19. Balog J., Hegedus A. The Bajnok-Janik formula and wrapping corrections. JHEP 2010, 1009:107. arxiv:1003.4303.
20. Sfondrini A., van Tongeren S.J. Lifting asymptotic degeneracies with the mirror TBA. JHEP 2011, 1109:050. arxiv:1106.3909.
21. Arutyunov G., Frolov S., van Tongeren S.J. Bound states in the mirror TBA arxiv:1111.0564.
22. Arutyunov G., Frolov S., Suzuki R. Five-loop Konishi from the mirror TBA. JHEP 2010, 1004:069. arxiv:1002.1711.
23. Balog J., Hegedus A. 5-loop Konishi from linearized TBA and the XXX magnet. JHEP 2010, 1006:080. arxiv:1002.4142.
24. Bajnok Z., Janik R.A. Four-loop perturbative Konishi from strings and finite size effects for multiparticle states. Nuclear Phys. B 2009, 807:625. arxiv:0807.0399.
25. Bajnok Z., Hegedus A., Janik R.A., Lukowski T. Five loop Konishi from AdS/CFT. Nuclear Phys. B 2010, 827:426. arxiv:0906.4062.
26. Lukowski T., Rej A., Velizhanin V.N. Five-loop anomalous dimension of twist-two operators. Nuclear Phys. B 2010, 831:105. arxiv:0912.1624.
27. Janik R.A. Review of AdS/CFT integrability, Chapter III.5: Luscher corrections arxiv:1012.3994.
28. Fiamberti F., Santambrogio A., Sieg C., Zanon D. Wrapping at four loops in N=4 SYM. Phys. Lett. B 2008, 666:100. arxiv:0712.3522.
29. Velizhanin V.N. The four-loop anomalous dimension of the Konishi operator in N=4 supersymmetric Yang-Mills theory. JETP Lett. 2009, 89:6-9. arxiv:0808.3832.
30. 5. J. Phys. A 2011, 44:235401. arxiv:1101.5165.
31. Gromov N., Kazakov V., Leurent S., Volin D. Solving the AdS/CFT Y-system arxiv:1110.0562.
32. Frolov S. Lax pair for strings in Lunin-Maldacena background. JHEP 2005, 0505:069. arxiv:hep-th/0503201.
33. Alday L.F., Arutyunov G., Frolov S. Green-Schwarz strings in TsT-transformed backgrounds. JHEP 2006, 0606:018. arxiv:hep-th/0512253.
34. Beisert N., Roiban R. Beauty and the twist: the Bethe ansatz for twisted N=4 SYM. JHEP 2005, 0508:039. arxiv:hep-th/0505187.
35. Beisert N., Roiban R. The Bethe ansatz for Z(S) orbifolds of N=4 super Yang-Mills theory. JHEP 2005, 0511:037. arxiv:hep-th/0510209.
36. Sklyanin E.K. Boundary conditions for integrable quantum systems. J. Phys. A 1988, 21:2375.
37. Arutyunov G., de Leeuw M., van Tongeren S.J. Twisting the mirror TBA. JHEP 2011, 1102:025. arxiv:1009.4118.
38. Ahn C., Bajnok Z., Bombardelli D., Nepomechie R.I. Finite-size effect for four-loop Konishi of the β-deformed N=4 SYM. Phys. Lett. B 2010, 693:380. arxiv:1006.2209.
39. Ahn C., Bajnok Z., Bombardelli D., Nepomechie R.I. Twisted Bethe equations from a twisted S-matrix. JHEP 2011, 1102:027. arxiv:1010.3229.
40. Gromov N., Levkovich-Maslyuk F. Y-system and β-deformed N=4 super-Yang-Mills. J. Phys. A 2011, 44:015402. arxiv:1006.5438.
41. S orbifolds of N=4 SYM. JHEP 2011, 1106:004. arxiv:1104.0883.
42. S orbifolds of N=4 SYM. JHEP 2012, 1201:112.
43. de Leeuw M., van Tongeren S.J. Orbifolded Konishi from the mirror TBA. J. Phys. A 2011, 44:325404. arxiv:1103.5853.
44. Ahn C., Bajnok Z., Bombardelli D., Nepomechie R.I. TBA, NLO Lüscher correction, and double wrapping in twisted AdS/CFT arxiv:1108.4914.
45. Beisert N., Koroteev P. Quantum deformations of the one-dimensional Hubbard model. J. Phys. A 2008, 41:255204. arxiv:0802.0777.
46. Beisert N. The classical trigonometric r-matrix for the quantum-deformed Hubbard chain. J. Phys. A 2011, 44:265202. arxiv:1002.1097.
47. Beisert N., Galleas W., Matsumoto T. A quantum affine algebra for the deformed Hubbard chain arxiv:1102.5700.
48. de Leeuw M., Matsumoto T., Regelskis V. The bound state S-matrix of the deformed Hubbard chain arxiv:1109.1410.
49. Dorey P., Tateo R. Excited states by analytic continuation of TBA equations. Nuclear Phys. B 1996, 482:639. arxiv:hep-th/9607167.
50. Bazhanov V.V., Lukyanov S.L., Zamolodchikov A.B. Quantum field theories in finite volume: excited state energies. Nuclear Phys. B 1997, 489:487. arxiv:hep-th/9607099.
51. Arutyunov G., Frolov S. Comments on the mirror TBA. JHEP 2011, 1105:082. arxiv:1103.2708.
52. Frolov S., Suzuki R. Temperature quantization from the TBA equations. Phys. Lett. B 2009, 679:60. arxiv:0906.0499.
53. Dixon L.J., Harvey J.A., Vafa C., Witten E. Strings on orbifolds. Nuclear Phys. B 1985, 261:678-686.
54. Hanany A., He Y.-H. A monograph on the classification of the discrete subgroups of SU(4). JHEP 2001, 0102:027. arxiv:hep-th/9905212.
55. Solovyov A. Bethe ansatz equations for general orbifolds of N=4 SYM. JHEP 2008, 0804:013. arxiv:0711.1697.
56. Tseytlin A.A., Zarembo K. Effective potential in nonsupersymmetric SU(N)×SU(N) gauge theory and interactions of type 0 D3-branes. Phys. Lett. B 1999, 457:77. arxiv:hep-th/9902095.
57. Dymarsky A., Klebanov I.R., Roiban R. Perturbative search for fixed lines in large N gauge theories. JHEP 2005, 0508:011. arxiv:hep-th/0505099.
58. Adams A., Silverstein E. Closed string tachyons, AdS/CFT, and large N QCD. Phys. Rev. D 2001, 64:086001. arxiv:hep-th/0103220.
59. Dymarsky A., Klebanov I.R., Roiban R. Perturbative gauge theory and closed string tachyons. JHEP 2005, 0511:038. arxiv:hep-th/0509132.
60. McLoughlin T., Swanson I. Integrable twists in AdS/CFT. JHEP 2006, 0608:084. arxiv:hep-th/0605018.
61. Swanson I. A review of integrable deformations in AdS/CFT. Modern Phys. Lett. A 2007, 22:915. arxiv:0705.2844.
62. Faddeev L.D. How algebraic Bethe ansatz works for integrable model arxiv:hep-th/9605187.
63. Arutyunov G., Frolov S. The S-matrix of string bound states. Nuclear Phys. B 2008, 804:90. arxiv:0803.4323.
64. 5 superstring. JHEP 2009, 0910:025. arxiv:0906.4783.
65. 5 superstring. Nuclear Phys. B 2009, 819:319. arxiv:0902.0183.
66. Beisert N. The analytic Bethe ansatz for a chain with centrally extended su(2|2) symmetry. J. Stat. Mech. 2007, 0701:P01017. arxiv:nlin/0610017.
67. Martins M.J., Melo C.S. The Bethe ansatz approach for factorizable centrally extended S-matrices. Nuclear Phys. B 2007, 785:246-262. arxiv:hep-th/0703086.
68. de Leeuw M. Coordinate Bethe ansatz for the string S-matrix. J. Phys. A 2007, 40:14413-14432. arxiv:0705.2369.
69. Beisert N., Staudacher M. Long-range psu(2, 2|4) Bethe ansatze for gauge theory and strings. Nuclear Phys. B 2005, 727:1-62. arxiv:hep-th/0504190.
70. Gromov N., Kazakov V., Vieira P. Exact spectrum of anomalous dimensions of planar N=4 supersymmetric Yang-Mills theory. Phys. Rev. Lett. 2009, 103:131601. arxiv:0901.3753.
71. Bajnok Z., George A. From defects to boundaries. Internat. J. Modern Phys. A 2006, 21:1063. arxiv:hep-th/0404199.
72. 5 mirror model. JHEP 2009, 0911:019. arxiv:0907.2647.
73. 4 correspondence. Nuclear Phys. B 2011, 843:302. arxiv:1005.3016.
74. 4 TBA and its analytic properties arxiv:1103.0499.
75. Borwein J.M., Bradley D.M., Broadhurst D.J., Lisonek P. Special values of multiple polylogarithms. Trans. Amer. Math. Soc. 2001, 353:907. arxiv:math/9910045.
76. Dolan F.A., Osborn H. On short and semi-short representations for four-dimensional superconformal symmetry. Ann. Phys. 2003, 307:41. arxiv:hep-th/0209056.
77. de Leeuw M., Lukowski T. Twist operators in N=4 beta-deformed theory. JHEP 2011, 1104:084. arxiv:1012.3725.
78. Gromov N., Kazakov V., Vieira P. Exact spectrum of planar N=4 supersymmetric Yang-Mills theory: Konishi dimension at any coupling. Phys. Rev. Lett. 2010, 104:211601. arxiv:0906.4240.
79. Frolov S. Konishi operator at intermediate coupling. J. Phys. A 2011, 44:065401. arxiv:1006.5032.
80. Frolov S., Quinn E. Hubbard-Shastry lattice models arxiv:1111.5304.