Exploring the mirror TBA

Journal of High Energy Physics

Volumn 2010, Issue 5, 2010, Pages

  Arutyunov, Gleb ^a   Frolov, Sergey ^b   Suzuki, Ryo ^b  

^a UTRECHT UNIVERSITY   (Netherlands)

^b TRINITY COLLEGE DUBLIN   (Ireland)

Author keywords

AdS CFT correspondence; Integrable field theories

Indexed keywords

EID: 77954962979     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP05(2010)031     Document Type: Article

References (71)

1. J. M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231
2. [Int. J. Theor. Phys. 38 (1999) 1113] [hep-th/9711200].
3. Z. Bajnok and R. A. Janik, Four-loop perturbative Konishi from strings and finite size effects for multiparticle states, Nucl. Phys. B 807 (2009) 625 [arXiv:0807.0399].
4. M. Lüscher, Volume dependence of the energy spectrum in massive quantum field theories. 1. Stable particle states, Commun. Math. Phys. 104 (1986) 177.
5. R. A. Janik and T. Lukowski, Wrapping interactions at strong coupling - the giant magnon, Phys. Rev. D 76 (2007) 126008 [arXiv:0708.2208].
6. Y. Hatsuda and R. Suzuki, Finite-size effects for dyonic giant magnons, Nucl. Phys. B 800 (2008) 349 [arXiv:0801.0747].
7. J. A. Minahan and O. Ohlsson Sax, Finite size effects for giant magnons on physical strings, Nucl. Phys. B 801 (2008) 97 [arXiv:0801.2064].
8. N. Gromov, S. Schäfer-Nameki and P. Vieira, Quantum wrapped giant magnon, Phys. Rev. D 78 (2008) 026006 [arXiv:0801.3671].
9. J. Penedones and P. Vieira, Toy models for wrapping effects, JHEP 08 (2008) 020 [arXiv:0806.1047].
10. Y. Hatsuda and R. Suzuki, Finite-size effects for multi-magnon states, JHEP 09 (2008) 025 [arXiv:0807.0643].
11. Z. Bajnok, R. A. Janik and T. Lukowski, Four loop twist two, BFKL, wrapping and strings, Nucl. Phys. B 816 (2009) 376 [arXiv:0811.4448].
12. M. Beccaria, V. Forini, T. Lukowski and S. Zieme, Twist-three at five loops, Bethe ansatz and wrapping, JHEP 03 (2009) 129 [arXiv:0901.4864].
13. J. Gunnesson, Wrapping in maximally supersymmetric and marginally deformed N = 4 Yang-Mills, JHEP 04 (2009) 130 [arXiv:0902.1427].
14. M. Beccaria and G. F. De Angelis, On the wrapping correction to single magnon energy in twisted N = 4 SYM, Int. J. Mod. Phys. A 24 (2009) 5803 [arXiv:0903.0778].
15. F. Fiamberti, A. Santambrogio and C. Sieg, Five-loop anomalous dimension at critical wrapping order in N = 4 SYM, JHEP 03 (2010) 103 [arXiv:0908.0234].
16. Z. Bajnok, A. Hegedus, R. A. Janik and T. Lukowski, Five loop Konishi from AdS/CFT, Nucl. Phys. B 827 (2010) 426 [arXiv:0906.4062].
17. 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].
18. V. N. Velizhanin, The four-loop Konishi in N = 4 SYM, arXiv:0808.3832.
19. A. B. Zamolodchikov, Thermodynamic Bethe ansatz in relativistic models. scaling three state potts and Lee-Yang models, Nucl. Phys. B 342 (1990) 695.
20. 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].
21. G. Arutyunov and S. Frolov, On string S-matrix, bound states and TBA, JHEP 12 (2007) 024 [arXiv:0710.1568].
22. 5 mirror, JHEP 03 (2009) 152 [arXiv:0901.1417].
23. 5 mirror model, JHEP 05 (2009) 068 [arXiv:0903.0141].
24. 5 mirror model, JHEP 11 (2009) 019 [arXiv:0907.2647].
25. 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].
26. N. Gromov, V. Kazakov, A. Kozak and P. Vieira, Exact spectrum of anomalous dimensions of planar N = 4 super symmetric Yang-Mills theory: TBA and excited states, Lett. Math. Phys. 91 (2010) 265 [arXiv: 0902.4458].
27. A. B. Zamolodchikov, On the thermodynamic Bethe ansatz equations for reflectionless ADE scattering theories, Phys. Lett. B 253 (1991) 391.
28. N. Gromov, V. Kazakov and P. Vieira, Exact spectrum of anomalous dimensions of planar N = 4 super symmetric Yang-Mills theory, Phys. Rev. Lett. 103 (2009) 131601 [arXiv: 0901.3753].
29. A. Hegedus, Discrete Hirota dynamics for AdS/CFT, Nucl. Phys. B 825 (2010) 341 [arXiv: 0906. 2546].
30. S. Frolov and R. Suzuki, Temperature quantization from the TBA equations, Phys. Lett. B 679 (2009) 60 [arXiv:0906.0499].
31. N. Gromov, V. Kazakov and P. Vieira, Exact AdS/CFT spectrum: Konishi dimension at any coupling, arXiv: 0906.4240.
32. 5: strong-coupling corrections to dimension of Konishi operator, JHEP 11 (2009) 013 [arXiv: 0906.4294].
33. 5: solving 5u (1|1) sector, JHEP 01 (2006) 055 [hep-th/0510208].
34. A. Kuniba, T. Nakanishi and J. Suzuki, Functional relations in solvable lattice models. 1: functional relations and representation theory, Int. J. Mod. Phys. A 9 (1994) 5215 [hep-th/9309137].
35. Z. Tsuboi, A note on the osp (1|2s) thermodynamic Bethe ansatz equation, Int. J. Mod. Phys. A 17 (2002) 2351 [cond-mat/0108358].
36. V. V. Bazhanov, S. L. Lukyanov and A. B. Zamolodchikov, Quantum field theories in finite volume: excited state energies, Nucl. Phys. B 489 (1997) 487 [hep-th/9607099].
37. P. Dorey and R. Tateo, Excited states by analytic continuation of TBA equations, Nucl. Phys. B 482 (1996) 639 [hep-th/9607167].
38. P. Dorey and R. Tateo, Excited states in some simple perturbed conformal field theories, Nucl. Phys. B 515 (1998) 575 [hep-th/9706140].
39. P. Fendley, Excited-state energies and super symmetric indices, Adv. Theor. Math. Phys. 1 (1998) 210 [hep-th/9706161].
40. J. Balog and A. Hegedus, TBA equations for excited states in the O (3) and O (4) nonlinear s-model, J. Phys. A 37 (2004) 1881 [hep-th/0309009].
41. A. Hegedus, Nonlinear integral equations for finite volume excited state energies of the O (3) and O (4) nonlinear s-models, J. Phys. A 38 (2005) 5345 [hep-th/0412125].
42. A. Klumper and P. A. Pearce, Analytical calculations of scaling dimensions: tricritical hard square and critical hard hexagons, J. Stat. Phys. 64 (1991) 13.
43. A. Klumper and P. A. Pearce, Conformal weights of RSOS lattice models and their fusion hierarchies, Physica A 183 (1992) 304
44. C. Destri and H. J. de Vega, New thermodynamic Bethe ansatz equations without strings, Phys. Rev. Lett. 69 (1992) 2313.
45. D. Fioravanti, A. Mariottini, E. Quattrini and F. Ravanini, Excited state Destri-De Vega equation for sine-Gordon and restricted sine-Gordon models, Phys. Lett. B 390 (1997) 243 [hep-th/9608091].
46. C. Destri and H. J. de Vega, Non-linear integral equation and excited-states scaling functions in the sine-Gordon model, Nucl. Phys. B 504 (1997) 621 [hep-th/9701107].
47. G. Feverati, F. Ravanini and G. Tak'acs, Nonlinear integral equation and finite volume spectrum of sine-Gordon theory, Nucl. Phys. B 540 (1999) 543 [hep-th/9805117].
48. G. Feverati, F. Ravanini and G. Tak'acs, Scaling functions in the odd charge sector of sine-Gordon/massive Thirring theory, Phys. Lett. B 444 (1998) 442 [hep-th/9807160].
49. J. Teschner, On the spectrum of the sinh-Gordon model in finite volume, Nucl. Phys. B 799 (2008) 403 [hep-th/0702214].
50. N. Gromov, V. Kazakov and P. Vieira, Finite volume spectrum of 2D field theories from Hirota dynamics, JHEP 12 (2009) 060 [arXiv:0812.5091].
51. 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].
52. N. Beisert, B. Eden and M. Staudacher, Transcendentality and crossing, J. Stat. Mech. (2007) P01021 [hep-th/0610251].
53. 5 strings, JHEP 11 (2006) 070 [hep-th/0609044].
54. F. H. L. Essler, H. Frahm, F. Göhmann, A. Klümper and V. E. Korepin, The one-dimensional Hubbard model, Cambridge University Press, Cambridge U. K. (2005).
55. N. Gromov, Y-system and quasi-classical strings, JHEP 01 (2010) 112 [arXiv:0910.3608].
56. M. Staudacher, The factorized S-matrix of CFT/AdS, JHEP 05 (2005) 054 [hep-th/0412188].
57. G. Arutyunov, S. Frolov and M. Staudacher, Bethe ansatz for quantum strings, JHEP 10 (2004) 016 [hep-th/0406256].
58. 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].
59. A. Rej and F. Spill, Konishi at strong coupling from ABE, J. Phys. A 42 (2009) 442003 [arXiv:0907.1919].
60. 5 superstring. Part I, J. Phys. A 42 (2009) 254003 [arXiv:0901.4937].
61. R. Hirota, Discrete analogue of a generalized Toda equation, J. Phys. Soc. Jap. 50 (1981) 3785.
62. V. Bazhanov and N. Reshetikhin, Restricted solid on solid models connected with simply based algebras and conformal field theory, J. Phys. A 23 (1990) 1477.
63. M. Beccaria, On the strong coupling expansion in the su (1|1) sector of M = 4 SYM, JHEP 06 (2008) 063 [arXiv:0805.1180].
64. 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].
65. A. V. Kotikov, L. N. Lipatov, A. Rej, M. Staudacher and V. N. Velizhanin, Dressing and wrapping, J. Stat. Mech. (2007) P10003 [arXiv: 0704. 3586].
66. G. Arutyunov, S. Frolov and M. Zamaklar, Finite-size effects from giant magnons, Nucl. Phys. B 778 (2007) 1 [hep-th/0606126].
67. G. Arutyunov and S. Frolov, The dressing factor and crossing equations, J. Phys. A 42 (2009) 425401 [arXiv:0904.4575].
68. 5 super string, JHEP 10 (2009) 025 [arXiv: 0906.4783].
69. N. Beisert, The analytic Bethe ansatz for a chain with centrally extended su (2|2) symmetry, J. Stat. Mech. (2007) P01017 [nlin/0610017].
70. 5 string S-matrix, Phys. Lett. B 639 (2006) 378 [hep-th/0604043].
71. G. Arutyunov, S. Frolov and R. Suzuki, Five-loop Konishi from the mirror TBA, arXiv: 1002.1711.