Thermodynamic bubble ansatz

Journal of High Energy Physics

Volumn 2011, Issue 9, 2011, Pages

  Alday, Luis F ^a   Gaiotto, Davide ^a   Maldacena, Juan ^a  

^a INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

AdS CFT correspondence; Bethe Ansatz; Integrable equations in physics

Indexed keywords

EID: 80053149236     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP09(2011)032     Document Type: Article

References (50)

1. J. Douglas, Solution of the problem of Plateau, Trans. Amer. Math. Soc. 33 (1931) 263.
2. N. Beisert, The dilatation operator of N = 4 super Yang-Mills theory and integrability, Phys. Rept. 405 (2005) 1 [hep-th/0407277] [SPIRES].
3. 5 superstring, Phys. Rev. D 69 (2004) 046002 [hep-th/0305116] [SPIRES].
4. L.F. Alday and J.M. Maldacena, Gluon scattering amplitudes at strong coupling, JHEP 06 (2007) 064 [arXiv:0705.0303] [SPIRES].
5. 5, Phys. Lett. B 543 (2002) 81 [hep-th/0206103] [SPIRES].
6. G. Arutyunov, S. Frolov and M. Staudacher, Bethe ansatz for quantum strings, JHEP 10 (2004) 016 [hep-th/0406256] [SPIRES].
7. V.A. Kazakov, A. Marshakov, J.A. Minahan and K. Zarembo, Classical/quantum integrability in AdS/CFT, JHEP 05 (2004) 024 [hep-th/0402207] [SPIRES].
8. N. Beisert, B. Eden and M. Staudacher, Transcendentality and crossing, J. Stat. Mech. (2007) P01021 [hep-th/0610251] [SPIRES].
9. 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].
10. 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].
11. 5 mirror model, JHEP 11 (2009) 019 [arXiv:0907.2647] [SPIRES].
12. Z. Bern et al., The two-loop six-gluon MHV amplitude in maximally supersymmetric Yang-Mills theory, Phys. Rev. D 78 (2008) 045007 [arXiv:0803.1465] [SPIRES].
13. J.M. Drummond, J. Henn, G.P. Korchemsky and E. Sokatchev, The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude, Phys. Lett. B 662 (2008) 456 [arXiv:0712.4138] [SPIRES].
14. P. Dorey and R. Tateo, Anharmonic oscillators, the thermodynamic Bethe ansatz and nonlinear integral equations, J. Phys. A 32 (1999) L419 [hep-th/9812211] [SPIRES].
15. P. Dorey and R. Tateo, On the relation between Stokes multipliers and the T-Q systems of conformal field theory, Nucl. Phys. B 563 (1999) 573 [Erratum ibid. B 603 (2001) 581] [hep-th/9906219] [SPIRES].
16. P. Dorey, C. Dunning and R. Tateo, The ODE/IM correspondence, J. Phys. A 40 (2007) R205 [hep-th/0703066] [SPIRES].
17. K. Pohlmeyer, Integrable Hamiltonian systems and interactions through quadratic constraints, Commun. Math. Phys. 46 (1976) 207 [SPIRES].
18. H.J. De Vega and N.G. Sanchez, Exact integrability of strings in D-dimensional de Sitter space-time, Phys. Rev. D 47 (1993) 3394 [SPIRES].
19. A. Jevicki, K. Jin, C. Kalousios and A. Volovich, Generating AdS string solutions, JHEP 03 (2008) 032 [arXiv:0712.1193] [SPIRES].
20. n, Int. J. Mod. Phys. A 23 (2008) 2107 [arXiv:0806.2623] [SPIRES].
21. J.L. Miramontes, Pohlmeyer reduction revisited, JHEP 10 (2008) 087 [arXiv:0808.3365] [SPIRES].
22. 3 strings, JHEP 06 (2009) 064 [arXiv:0903.3389] [SPIRES].
23. m, JHEP 02 (2010) 013 [arXiv:0910.0934] [SPIRES].
24. N. Arkani-Hamed, F. Cachazo, C. Cheung and J. Kaplan, The S-matrix in twistor space, JHEP 03 (2010) 110 [arXiv:0903.2110] [SPIRES].
25. L.F. Alday and J. Maldacena, Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space, JHEP 11 (2009) 082 [arXiv:0904.0663] [SPIRES].
26. L.F. Alday and J. Maldacena, Minimal surfaces in AdS and the eight-gluon scattering amplitude at strong coupling, arXiv:0903.4707 [SPIRES].
27. A. Hodges, Eliminating spurious poles from gauge-theoretic amplitudes, arXiv:0905.1473 [SPIRES].
28. D. Gaiotto, G.W. Moore and A. Neitzke, Four-dimensional wall-crossing via three-dimensional field theory, Commun. Math. Phys. 299 (2010) 163 [arXiv:0807.4723] [SPIRES].
29. D. Gaiotto, G.W. Moore and A. Neitzke, Wall-crossing, Hitchin systems and the WKB approximation, arXiv:0907.3987 [SPIRES].
30. R. Koberle and J.A. Swieca, Factorizable Z(N) models, Phys. Lett. B 86 (1979) 209 [SPIRES].
31. A.B. Zamolodchikov, On the thermodynamic Bethe ansatz equations for reflectionless ADE scattering theories, Phys. Lett. B 253 (1991) 391 [SPIRES].
32. 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] [SPIRES].
33. P. Dorey and R. Tateo, Excited states by analytic continuation of TBA equations, Nucl. Phys. B 482 (1996) 639 [hep-th/9607167] [SPIRES].
34. J.M. Drummond, J. Henn, G.P. Korchemsky and E. Sokatchev, Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes, Nucl. Phys. B 826 (2010) 337 [arXiv:0712.1223] [SPIRES].
35. Z. Bern, L.J. Dixon and V.A. Smirnov, Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond, Phys. Rev. D 72 (2005) 085001 [hep-th/0505205] [SPIRES].
36. P. Fendley, Excited-state thermodynamics, Nucl. Phys. B 374 (1992) 667 [hep-th/9109021] [SPIRES].
37. P. Fendley and K.A. Intriligator, Scattering and thermodynamics of fractionally charged supersymmetric solitons, Nucl. Phys. B 372 (1992) 533 [hep-th/9111014] [SPIRES].
38. A.B. Zamolodchikov, Thermodynamic Bethe ansatz in relativistic models. Scaling three state Potts and Lee-Yang models, Nucl. Phys. B 342 (1990) 695 [SPIRES].
39. A.N. 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 [SPIRES].
40. M.J. Martins, Complex excitations in the thermodynamic Bethe ansatz approach, Phys. Rev. Lett. 67 (1991) 419 [SPIRES].
41. L.F. Alday and J.M. Maldacena, Comments on operators with large spin, JHEP 11 (2007) 019 [arXiv:0708.0672] [SPIRES].
42. C. Anastasiou et al., Two-loop polygon Wilson loops in N = 4 SYM, JHEP 05 (2009) 115 [arXiv:0902.2245] [SPIRES].
43. J.M. Drummond, J. Henn, G.P. Korchemsky and E. Sokatchev, Hexagon Wilson loop = six-gluon MHV amplitude, Nucl. Phys. B 815 (2009) 142 [arXiv:0803.1466] [SPIRES].
44. A. Brandhuber, P. Heslop, V.V. Khoze and G. Travaglini, Simplicity of polygon Wilson loops in N = 4 SYM, JHEP 01 (2010) 050 [arXiv:0910.4898] [SPIRES].
45. V. Del Duca, C. Duhr and V.A. Smirnov, An analytic result for the two-loop hexagon Wilson loop in N = 4 SYM, JHEP 03 (2010) 099 [arXiv:0911.5332] [SPIRES].
46. I.A. Korchemskaya and G.P. Korchemsky, On lightlike Wilson loops, Phys. Lett. B 287 (1992) 169 [SPIRES].
47. A. Bassetto, I.A. Korchemskaya, G.P. Korchemsky and G. Nardelli, Gauge invariance and anomalous dimensions of a light cone Wilson loop in lightlike axial gauge, Nucl. Phys. B 408 (1993) 62 [hep-ph/9303314] [SPIRES].
48. Z. Bern, L.J. Dixon and V.A. Smirnov, Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond, Phys. Rev. D 72 (2005) 085001 [hep-th/0505205] [SPIRES].
49. L.F. Alday and J. Maldacena, Comments on gluon scattering amplitudes via AdS/CFT, JHEP 11 (2007) 068 [arXiv:0710.1060] [SPIRES].
50. A. Jevicki and K. Jin, Series solution and minimal surfaces in AdS, JHEP 03 (2010) 028 [arXiv:0911.1107] [SPIRES].