The quantum deformed mirror TBA II

Journal of High Energy Physics

Volumn 2013, Issue 2, 2013, Pages

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

^a UTRECHT UNIVERSITY   (Netherlands)

^b ETH ZURICH   (Switzerland)

Author keywords

AdS CFT Correspondence; Bethe Ansatz; Exact S Matrix; Integrable Field Theories

Indexed keywords

EID: 84873689290     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP02(2013)012     Document Type: Article

References (81)

1. G. Arutyunov, M. de Leeuw and S.J. van Tongeren, The quantum deformed mirror TBA I, JHEP 10 (2012) 090 [ arXiv:1208.3478 ] [ INSPIRE ].
2. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [Int. J. Theor. Phys. 38 (1999) 1113] [ hep-th/9711200 ] [ INSPIRE ].
3. 5 Superstring. Part I, J. Phys. A 42 (2009) 254003 [ arXiv:0901.4937 ] [ INSPIRE ].
4. N. Beisert et al., Review of AdS/CFT Integrability: An Overview, Lett. Math. Phys. 99 (2012) 3 [ arXiv:1012.3982 ] [ INSPIRE ].
5. A. Zamolodchikov, Thermodynamic Bethe Ansatz in relativistic models. Scaling three state potts and Lee-Yang models, Nucl. Phys. B 342 (1990) 695 [ INSPIRE ].
6. G. Arutyunov and S. Frolov, On string S-matrix, bound states and TBA, JHEP 12 (2007) 024 [ arXiv:0710.1568 ] [ INSPIRE ].
7. 5 Mirror Model, JHEP 05 (2009) 068 [ arXiv:0903.0141 ] [ INSPIRE ].
8. 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 ] [ INSPIRE ].
9. 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 ] [ INSPIRE ].
10. 5 mirror, JHEP 03 (2009) 152 [ arXiv:0901.1417 ] [ INSPIRE ].
11. A. Kuniba, T. Nakanishi and J. Suzuki, T-systems and Y-systems in integrable systems, J. Phys. A 44 (2011) 103001 [ arXiv:1010.1344 ] [ INSPIRE ].
12. Z. Bajnok, Review of AdS/CFT Integrability, Chapter III.6: Thermodynamic Bethe Ansatz, Lett. Math. Phys. 99 (2012) 299 [ arXiv:1012.3995 ] [ INSPIRE ].
13. A.B. Zamolodchikov, On the thermodynamic Bethe ansatz equations for reflectionless ADE scattering theories, Phys. Lett. B 253 (1991) 391 [ INSPIRE ].
14. 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 ] [ INSPIRE ].
15. 4 correspondence, Nucl. Phys. B 843 (2011) 302 [ arXiv:1005.3016 ] [ INSPIRE ].
16. 4 TBA and its analytic properties, arXiv:1103.0499 [ INSPIRE ].
17. 5 mirror TBA equations from Y-system and discontinuity relations, JHEP 08 (2011) 095 [ arXiv:1104.4054 ] [ INSPIRE ].
18. J. Balog and A. Hegedus, Quasi-local formulation of the mirror TBA, JHEP 05 (2012) 039 [ arXiv:1106.2100 ] [ INSPIRE ].
19. A. Klümper and P. Pearce, Conformal weights of RSOS lattice models and their fusion hierarchies, Physica A 183 (1992) 304 [ INSPIRE ].
20. A. Klümper and P.A. Pearce, New results for exactly solvable critical RSOS models and vertex models in two dimensions, Physica A 194 (1993) 397.
21. P. Dorey and R. Tateo, Excited states by analytic continuation of TBA equations, Nucl. Phys. B 482 (1996) 639 [ hep-th/9607167 ] [ INSPIRE ]. (Pubitemid 126167831)
22. V.V. Bazhanov, S.L. Lukyanov and A.B. Zamolodchikov, Integrable quantum field theories in finite volume: excited state energies, Nucl. Phys. B 489 (1997) 487 [ hep-th/9607099 ] [ INSPIRE ].
23. 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 ] [ INSPIRE ].
24. G. Arutyunov and S. Frolov, Comments on the mirror TBA, JHEP 05 (2011) 082 [ arXiv:1103.2708 ] [ INSPIRE ].
25. G. Arutyunov, S. Frolov and R. Suzuki, Exploring the mirror TBA, JHEP 05 (2010) 031 [ arXiv:0911.2224 ] [ INSPIRE ].
26. J. Balog and A. Hegedus, The Bajnok-Janik formula and wrapping corrections, JHEP 09 (2010) 107 [ arXiv:1003.4303 ] [ INSPIRE ].
27. A. Sfondrini and S.J. van Tongeren, Lifting asymptotic degeneracies with the mirror TBA, JHEP 09 (2011) 050 [ arXiv:1106.3909 ] [ INSPIRE ].
28. G. Arutyunov, S. Frolov and S.J. van Tongeren, Bound states in the mirror TBA, JHEP 02 (2012) 014 [ arXiv:1111.0564 ] [ INSPIRE ].
29. G. Arutyunov, S. Frolov and A. Sfondrini, Exceptional operators in N = 4 super Yang-Mills, JHEP 09 (2012) 006 [ arXiv:1205.6660 ] [ INSPIRE ].
30. G. Arutyunov, S. Frolov and R. Suzuki, Five-loop Konishi from the mirror TBA, JHEP 04 (2010) 069 [ arXiv:1002.1711 ] [ INSPIRE ].
31. J. Balog and A. Hegedus, 5-loop Konishi from linearized TBA and the XXX magnet, JHEP 06 (2010) 080 [ arXiv:1002.4142 ] [ INSPIRE ].
32. 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 ] [ INSPIRE ].
33. 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 ] [ INSPIRE ].
34. T. Lukowski, A. Rej and V. Velizhanin, Five-loop anomalous dimension of twist-two operators, Nucl. Phys. B 831 (2010) 105 [ arXiv:0912.1624 ] [ INSPIRE ].
35. R.A. Janik, Review of AdS/CFT integrability, Chapter III.5: Lúscher corrections, Lett. Math. Phys. 99 (2012) 277 [ arXiv:1012.3994 ] [ INSPIRE ].
36. 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 ] [ INSPIRE ].
37. V. 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 ] [ INSPIRE ].
38. B. Eden, P. Heslop, G.P. Korchemsky, V.A. Smirnov and E. Sokatchev, Five-loop Konishi in N =4 SYM,Nucl. Phys. B 862 (2012) 123[ arXiv:1202.5733 ] [ INSPIRE ].
39. S. Leurent, D. Serban and D. Volin, Six-loop Konishi anomalous dimension from the Y-system, Phys. Rev. Lett. 109 (2012) 241601 [ arXiv:1209.0749 ] [ INSPIRE ].
40. Z. Bajnok and R.A. Janik, Six and seven loop Konishi from Lüscher corrections, JHEP 11 (2012) 002 [ arXiv:1209.0791 ] [ INSPIRE ].
41. D. Correa, J. Maldacena and A. Sever, The quark anti-quark potential and the cusp anomalous dimension from a TBA equation, JHEP 08 (2012) 134 [ arXiv:1203.1913 ] [ INSPIRE ].
42. N. Drukker, Integrable Wilson loops, arXiv:1203.1617 [ INSPIRE ].
43. N. Gromov, V. Kazakov, S. Leurent and D. Volin, Solving the AdS/CFT Y-system, JHEP 07 (2012) 023 [ arXiv:1110.0562 ] [ INSPIRE ].
44. J. Balog and A. Hegedus, Hybrid-NLIE for the AdS/CFT spectral problem, JHEP 08 (2012) 022 [ arXiv:1202.3244 ] [ INSPIRE ].
45. 5, J. Phys. A 44 (2011) 235401 [ arXiv:1101.5165 ] [ INSPIRE ].
46. R. Suzuki, Contour deformation trick in hybrid NLIE, JHEP 07 (2012) 152 [ arXiv:1202.3947 ] [ INSPIRE ].
47. N. Gromov and A. Sever, Analytic solution of bremsstrahlung TBA, JHEP 11 (2012) 075 [ arXiv:1207.5489 ] [ INSPIRE ].
48. Z. Bajnok, R.I. Nepomechie, L. Palla and R. Suzuki, Y-system for Y = 0 brane in planar AdS/CFT, JHEP 08 (2012) 149 [ arXiv:1205.2060 ] [ INSPIRE ].
49. N. Beisert and P. Koroteev, Quantum Deformations of the One-Dimensional Hubbard Model, J. Phys. A 41 (2008) 255204 [ arXiv:0802.0777 ] [ INSPIRE ].
50. 5 superstring S-matrix and its relativistic limit, JHEP 03 (2012) 015 [ arXiv:1112.4485 ] [ INSPIRE ].
51. 5 superstring S-matrix, JHEP 10 (2012) 076 [ arXiv:1206.0010 ] [ INSPIRE ].
52. 5 superstring theory, Nucl. Phys. B 851 (2011) 161 [ arXiv:1104.2423 ] [ INSPIRE ].
53. B. Hoare, T.J. Hollowood and J.L. Miramontes, A relativistic relative of the magnon S-matrix, JHEP 11 (2011) 048 [ arXiv:1107.0628 ] [ INSPIRE ].
54. 5 superstring σ-model, Nucl. Phys. B 800 (2008) 450 [ arXiv:0711.0155 ] [ INSPIRE ].
55. B. Hoare and A. Tseytlin, Pohlmeyer reduction for superstrings in AdS space, J. Phys. A 46 (2013) 015401 [ arXiv:1209.2892 ] [ INSPIRE ].
56. N. Gromov and F. Levkovich-Maslyuk, Y-system and β-deformed N = 4 super-Yang-Mills, J. Phys. A 44 (2011) 015402 [ arXiv:1006.5438 ] [ INSPIRE ].
57. G. Arutyunov, M. de Leeuw and S.J. van Tongeren, Twisting the mirror TBA, JHEP 02 (2011) 025 [ arXiv:1009.4118 ] [ INSPIRE ].
58. M. de Leeuw and S.J. van Tongeren, Orbifolded Konishi from the mirror TBA, J. Phys. A 44 (2011) 325404 [ arXiv:1103.5853 ] [ INSPIRE ].
59. C. Ahn, Z. Bajnok, D. Bombardelli and R.I. Nepomechie, TBA, NLO Lüscher correction and double wrapping in twisted AdS/CFT, JHEP 12 (2011) 059 [ arXiv:1108.4914 ] [ INSPIRE ].
60. 5, Nucl. Phys. B 860 (2012) 339 [ arXiv:1201.1451 ] [ INSPIRE ].
61. M. Takahashi and M. Suzuki, A reply to the comments of Johnson et al. on the thermodynamics of the Heisenberg-Ising ring for |Δ| < 1, Phys. Lett. A 41 (1972) 81.
62. G. Arutyunov and S. Frolov, Unpublished notes on magnons in the sl(2) sector.
63. Z. Bajnok and A. George, From defects to boundaries, Int. J. Mod. Phys. A 21 (2006) 1063 [ hep-th/0404199 ] [ INSPIRE ].
64. 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 ] [ INSPIRE ].
65. A. Kuniba, T. Nakanishi and J. Suzuki, Functional relations in solvable lattice model 2: Applications, Int. J. Mod. Phys. A 9 (1994) 5267 [ hep-th/9310060 ] [ INSPIRE ].
66. I. Krichever, O. Lipan, P. Wiegmann and A. Zabrodin, Quantum integrable systems and elliptic solutions of classical discrete nonlinear equations, Commun. Math. Phys. 188 (1997) 267 [ hep-th/9604080 ] [ INSPIRE ]. (Pubitemid 127131612)
67. 5 superstring, JHEP 10 (2009) 025 [ arXiv:0906.4783 ] [ INSPIRE ].
68. L. Faddeev, How algebraic Bethe ansatz works for integrable model, hep-th/9605187 [ INSPIRE ].
69. E. Sklyanin, Boundary conditions for integrable quantum systems, J. Phys. A 21 (1988) 2375 [ INSPIRE ].
70. A. Kirillov and N.Y. Reshetikhin, Exact solution of the integrable XXZ Heisenberg model with arbitrary spin. I. The ground state and the excitation spectrum, J. Phys. A 20 (1987) 1565 [ INSPIRE ].
71. Z. Tsuboi, Analytic Bethe Ansatz And Functional Equations Associated With Any Simple Root Systems Of The Lie Superalgebra sl(r + 1|s + 1), Physica A 252 (1998) 565 [ arXiv:0911.5387 ] [ INSPIRE ].
72. N. Beisert, The analytic Bethe Ansatz for a chain with centrally extended su(2|2) symmetry, J. Stat. Mech. (2007) P01017 [ nlin/0610017 ].
73. S. Frolov and R. Suzuki, Temperature quantization from the TBA equations, Phys. Lett. B 679 (2009) 60 [ arXiv:0906.0499 ] [ INSPIRE ].
74. S. Frolov and E. Quinn, Hubbard-Shastry lattice models, J. Phys. A 45 (2012) 095004 [ arXiv:1111.5304 ] [ INSPIRE ].
75. M. de Leeuw, T. Matsumoto and V. Regelskis, The bound state S-matrix of the deformed Hubbard chain, JHEP 04 (2012) 021 [ arXiv:1109.1410 ] [ INSPIRE ].
76. G. Arutyunov, S. Frolov and M. Staudacher, Bethe ansatz for quantum strings, JHEP 10 (2004) 016 [ hep-th/0406256 ] [ INSPIRE ].
77. N. Beisert, B. Eden and M. Staudacher, Transcendentality and crossing, J. Stat. Mech. 0701 (2007) P01021 [ hep-th/0610251 ] [ INSPIRE ].
78. 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 ] [ INSPIRE ].
79. 5 superstring worldsheet S-matrix and crossing symmetry, Phys. Rev. D 73 (2006) 086006 [ hep-th/0603038 ] [ INSPIRE ].
80. G. Arutyunov and S. Frolov, The dressing factor and crossing equations, J. Phys. A 42 (2009) 425401 [ arXiv:0904.4575 ] [ INSPIRE ].
81. 5 mirror model, JHEP 11 (2009) 019 [ arXiv:0907.2647 ] [ INSPIRE ].