Extended Y-system for the AdS5/CFT4 correspondence

Nuclear Physics B

Volumn 843, Issue 1, 2011, Pages 302-343

  Cavaglià, Andrea ^a,b   Fioravanti Davide, D ^c   Tateo, Roberto ^a  

^a UNIVERSITY OF TURIN   (Italy)

^b CITY UNIVERSITY   (United Kingdom)

^c UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78049459248     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2010.09.015     Document Type: Article

References (81)

1. Bethe H. On the theory of metals. 1. Eigenvalues and eigenfunctions for the linear atomic chain. Z. Phys. 1931, 71:205.
2. Yang C.N., Yang C.P. One-dimensional chain of anisotropic spin-spin interactions. I: Proof of Bethe's hypothesis for ground state in a finite system. Phys. Rev. 1966, 150:321.
3. Yang C.N. Some exact results for the many body problems in one dimension with repulsive delta function interaction. Phys. Rev. Lett. 1967, 19:1312.
4. Baxter R.J. Partition function of the eight-vertex model. Ann. Phys. 1972, 70:193.
5. Faddeev L.D., Sklyanin E.K., Takhtajan L.A. The quantum inverse problem method. 1. Theor. Math. Phys.. Teor. Mat. Fiz. 1979, 40:194.
6. Zamolodchikov A.B., Zamolodchikov A.B. Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field models. Ann. Phys. 1979, 120:253.
7. Lipatov L.N. High-energy asymptotics of multicolor QCD and exactly solvable lattice models arxiv:hep-th/9311037.
8. Faddeev L.D., Korchemsky G.P. High-energy QCD as a completely integrable model. Phys. Lett. B 1995, 342:311. arxiv:hep-th/9404173.
9. Maldacena J.M. The large N limit of superconformal field theories and supergravity. Adv. Theor. Math. Phys. 1998, 2:231. arxiv:hep-th/9711200.
10. Gubser S.S., Klebanov I.R., Polyakov A.M. Gauge theory correlators from non-critical string theory. Phys. Lett. B 1998, 428:105. arxiv:hep-th/9802109.
11. Witten E. Anti-de Sitter space and holography. Adv. Theor. Math. Phys. 1998, 2:253. arxiv:hep-th/9802150.
12. 't Hooft G. A planar diagram theory for strong interactions. Nucl. Phys. B 1974, 72:461.
13. Minahan J.A., Zarembo K. The Bethe Ansatz for N=4 Super Yang-Mills. JHEP 2003, 0303:013. arxiv:hep-th/0212208.
14. Beisert N., Staudacher M. The N=4 SYM integrable super spin chain. Nucl. Phys. B 2003, 670:439. arxiv:hep-th/0307042.
15. Staudacher M. The factorized S-matrix of CFT/AdS. JHEP 2005, 0505:054. arxiv:hep-th/0412188.
16. Beisert N., Staudacher M. Long-range PSU(2,2|4) Bethe Ansatz for gauge theory and strings. Nucl. Phys. B 2005, 727:1. arxiv:hep-th/0504190.
17. Arutyunov G., Frolov S., Staudacher M. Bethe ansatz for quantum strings. JHEP 2004, 0410:016. arxiv:hep-th/0406256.
18. Janik R. The AdS5×S5 superstring worldsheet S-matrix and crossing symmetry. Phys. Rev. D 2006, 73:086006. arxiv:hep-th/0603038.
19. Beisert N., Hernandez R., Lopez E. A crossing symmetric phase for AdS5×S5 strings. JHEP 2006, 0611:070. arxiv:hep-th/0609044.
20. Beisert N., Eden B., Staudacher M. Transcendentality and crossing. J. Stat. Mech. 2007, 0701:P021. arxiv:hep-th/0610251.
21. Beisert N. The su(2|2) dynamic S-matrix. Adv. Theor. Math. Phys. 2008, 12:945. arxiv:hep-th/0511082.
22. Martins M.J., Melo C.S. The Bethe ansatz approach for factorizable centrally extended S-matrices. Nucl. Phys. B 2007, 785:246. arxiv:hep-th/0703086.
23. Bena I., Polchinski J., Roiban R. Hidden symmetries of the AdS5×S5 superstring. Phys. Rev. D 2004, 69:046002. arxiv:hep-th/0305116.
24. Kazakov V.A., Marshakov A., Minahan J.A., Zarembo K. Classical/quantum integrability in AdS/CFT. JHEP 2004, 0405:024. arxiv:hep-th/0402207.
25. Kazakov V.A., Zarembo K. Classical/quantum integrability in non-compact sector of AdS/CFT. JHEP 2004, 0410:060. arxiv:hep-th/0410105.
26. Sieg C., Torrielli A. Wrapping interactions and the genus expansion of the 2-point function of composite operators. Nucl. Phys. B 2005, 723:3. arxiv:hep-th/0505071.
27. Fischbacher T., Klose T., Plefka J. Planar plane-wave matrix theory at the four loop order: Integrability without BMN scaling. JHEP 2005, 0502:039. arxiv:hep-th/0412331.
28. Lüscher M. Volume dependence of the energy spectrum in massive quantum field theories. 1. Stable particle states. Commun. Math. Phys. 1986, 104:177.
29. M. Lüscher, On a relation between finite size effects and elastic scattering processes, in: Lecture given at Cargese Summer Inst., Cargese, France, September 1-15, 1983.
30. Klassen T.R., Melzer E. On the relation between scattering amplitudes and finite size mass corrections in QFT. Nucl. Phys. B 1991, 362:329.
31. Bajnok Z., Janik R.A. Four-loop perturbative Konishi from strings and finite size effects for multiparticle states. Nucl. Phys. B 2009, 807:625. arxiv:0807.0399.
32. 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.
33. Fiamberti F., Santambrogio A., Sieg C., Zanon D. Anomalous dimension with wrapping at four loops in N=4 SYM. Nucl. Phys. B 2008, 805:231. arxiv:0806.2095.
34. Bajnok Z., Janik R.A., Lukowski T. Four loop twist two, BFKL, wrapping and strings. Nucl. Phys. B 2009, 816:376. arxiv:0811.4448.
35. Bajnok Z., Hegedus A., Janik R.A., Lukowski T. Five loop Konishi from AdS/CFT. Nucl. Phys. B 2010, 827:426. arxiv:0906.4062.
36. Ambjorn J., Janik R.A., Kristjansen C. Wrapping interactions and a new source of corrections to the spin-chain/string duality. Nucl. Phys. B 2006, 736:288. arxiv:hep-th/0510171.
37. Zamolodchikov Al.B. Thermodynamic Bethe ansatz in relativistic models. Scaling three state Potts and Lee-Yang models. Nucl. Phys. B 1990, 342:695.
38. Bazhanov V.V., Lukyanov S.L., Zamolodchikov A.B. Quantum field theories in finite volume: Excited state energies. Nucl. Phys. B 1997, 489:487. arxiv:hep-th/9607099.
39. Dorey P., Tateo R. Excited states by analytic continuation of TBA equations. Nucl. Phys. B 1996, 482:639. arxiv:hep-th/9607167.
40. Fioravanti D., Mariottini A., Quattrini E., Ravanini F. Excited state Destri-De Vega equation for sine-Gordon and restricted sine-Gordon models. Phys. Lett. B 1997, 390:243. arxiv:hep-th/9608091.
41. Feverati G., Ravanini F., Takacs G. Truncated conformal space at c=1, nonlinear integral equation and quantization rules for multi-soliton states. Phys. Lett. B 1998, 430:264. arxiv:hep-th/9803104.
42. Fioravanti D., Rossi M. On the commuting charges for the highest dimension SU(2) operator in planar N=4 SYM. JHEP 2007, 0708:089. arxiv:0706.3936.
43. Freyhult L., Rej A., Staudacher M. A generalized scaling function for AdS/CFT. J. Stat. Mech. 2008, 0807:P07015. arxiv:0712.2743.
44. Bombardelli D., Fioravanti D., Rossi M. Large spin corrections in N=4 SYM sl(2): still a linear integral equation. Nucl. Phys. B 2009, 810:460. arxiv:0802.0027.
45. Feverati G., Fioravanti D., Grinza P., Rossi M. Hubbard's adventures in N=4 SYM-land? Some non-perturbative considerations on finite length operators. J. Stat. Mech. 2007, 0702:P001. arxiv:hep-th/0611186.
46. Arutyunov G., Frolov S. On string S-matrix, bound states and TBA. JHEP 2007, 0712:024. arxiv:0710.1568.
47. Arutyunov G., Frolov S. String hypothesis for the AdS5×S5 mirror. JHEP 2009, 0903:152. arxiv:0901.1417.
48. Bombardelli D., Fioravanti D., Tateo R. Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal. J. Phys. A 2009, 42:375401. arxiv:0902.3930.
49. 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 title: "Integrability for the full spectrum of planar AdS/CFT II"). arxiv:0902.4458.
50. Arutyunov G., Frolov S. Thermodynamic Bethe Ansatz for the AdS5×S5 mirror model. JHEP 2009, 0905:068. arxiv:0903.0141.
51. Gaudin M. Thermodynamics of the Heisenberg-Ising Ring for Δ≥1. Phys. Rev. Lett. 1971, 26:1301.
52. Takahashi M. One-dimensional Heisenberg model at finite temperature. Prog. Theor. Phys. 1971, 46:401.
53. Zamolodchikov A.B. On the thermodynamic Bethe ansatz equations for reflectionless ADE scattering theories. Phys. Lett. B 1991, 253:391.
54. Kuniba A., Nakanishi T. Spectra in conformal field theories from the Rogers dilogarithm. Mod. Phys. Lett. A 1992, 7:3487. arxiv:hep-th/9206034.
55. Ravanini F., Tateo R., Valleriani A. Dynkin TBAs. Int. J. Mod. Phys. A 1993, 8:1707. arxiv:hep-th/9207040.
56. 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 title: "Integrability for the full spectrum of planar AdS/CFT"). arxiv:0901.3753.
57. Dorey P., Tateo R. Excited states in some simple perturbed conformal field theories. Nucl. Phys. B 1998, 515:575. arxiv:hep-th/9706140.
58. Gromov N. Y-system and quasi-classical strings. JHEP 2010, 1001:112. arxiv:0910.3608.
59. Takahashi M. One-dimensional Hubbard model at finite temperature. Prog. Theor. Phys. 1972, 47:69.
60. Essler F.H.L., Frahm H., Gohmann F., Klumper A., Korepin V.E. The One-Dimensional Hubbard Model 2005, Cambridge University Press.
61. Z. Bajnok, Review of AdS/CFT Integrability, Chapter III.7, Thermodynamic Bethe ansatz, in preparation.
62. Klassen T.R., Melzer E. The thermodynamics of purely elastic scattering theories and conformal perturbation theory. Nucl. Phys. B 1991, 350:635.
63. Martins M.J. Complex excitations in the thermodynamic Bethe ansatz approach. Phys. Rev. Lett. 1991, 67:419.
64. Fendley P. Excited state thermodynamics. Nucl. Phys. B 1992, 374:667. arxiv:hep-th/9109021.
65. Dorey N., Hofman D.M., Maldacena J.M. On the singularities of the magnon S-matrix. Phys. Rev. D 2007, 76:025011. arxiv:hep-th/0703104.
66. Arutyunov G., Frolov S. The dressing factor and crossing equations. J. Phys. A 2009, 42:425401. arxiv:0904.4575.
67. Volin D. Minimal solution of the AdS/CFT crossing equation. J. Phys. A 2009, 42:372001. arxiv:0904.4929.
68. Volin D. Quantum integrability and functional equations arxiv:1003.4725.
69. Janik R.A., Lukowski T. From nesting to dressing. Phys. Rev. D 2008, 78:066018. arxiv:0804.4295.
70. Cecotti S., Fendley P., Intriligator K.A., Vafa C. A new supersymmetric index. Nucl. Phys. B 1992, 386:405. arxiv:hep-th/9204102.
71. Arutyunov G., Frolov S., Suzuki R. Exploring the mirror TBA arxiv:0911.2224.
72. Gromov N., Kazakov V., Vieira P. Exact AdS/CFT spectrum: Konishi dimension at any coupling arxiv:0906.4240.
73. Arutyunov G., Frolov S., Suzuki R. Five-loop Konishi from the mirror TBA. JHEP 2010, 1004:069. arxiv:1002.1711.
74. Balog J., Hegedus A. 5-loop Konishi from linearized TBA and the XXX magnet arxiv:1002.4142.
75. Balog J., Hegedus A. The Bajnok-Janik formula and wrapping corrections arxiv:1003.4303.
76. Frolov S. Konishi operator at intermediate coupling arxiv:1006.5032.
77. Gromov N., Levkovich-Maslyuk F. Y-system, TBA and quasi-classical strings in AdS4×CP3 arxiv:0912.4911.
78. Bombardelli D., Fioravanti D., Tateo R. TBA and Y-system for planar AdS4/CFT3. Nucl. Phys. B 2010, 834:543. arxiv:0912.4715.
79. Arutyunov G., Frolov S. Simplified TBA equations of the AdS5×S5 mirror model. JHEP 2009, 0911:019. arxiv:0907.2647.
80. Frolov S., Suzuki R. Temperature quantization from the TBA equations. Phys. Lett. B 2009, 679:60. arxiv:0906.0499.
81. Kirillov A.N., Reshetikhin N.Y. Exact solution of the integrable XXZ Heisenberg model with arbitrary spin. I. The ground state and the excitation spectrum. J. Phys. A 1987, 20:1565.