Quantum spinning strings in AdS 4 × ℂ ℙ 3: Testing the Bethe Ansatz proposal

Journal of High Energy Physics

Volumn 2008, Issue 11, 2008, Pages

  McLoughlin, Tristan ^a   Roiban, Radu ^b   Tseytlin, Arkady A ^c,d  

^a ALBERT EINSTEIN INSTITUT   (Germany)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

^c IMPERIAL COLLEGE LONDON   (United Kingdom)

^d LEBEDEV PHYSICAL INSTITUTE   (Russian Federation)

Author keywords

AdS CFT correspondence; Integrable field theories

Indexed keywords

EID: 58149293836     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2008/11/069     Document Type: Article

References (64)

1. O. Aharony, O. Bergman, D.L. Jafferis and J. Maldacena, N = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals 2008 J. High Energy Phys. JHEP10(2008)091 [0806.1218]
2. J.A. Minahan and K. Zarembo, The Bethe ansatz for superconformal Chern-Simons 2008 J. High Energy Phys. JHEP09(2008)040 [0806.3951]
3. D. Bak and S.J. Rey, Integrable spin chain in superconformal Chern-Simons theory 2008 J. High Energy Phys. JHEP10(2008)053 [0807.2063]
4. 3 as a coset σ-model 2008 J. High Energy Phys. JHEP09(2008)129 [0806.4940]
5. 3 [0806.4948]
6. N. Beisert, B. Eden and M. Staudacher, Transcendentality and crossing 2007 J. Stat. Mech. P01021 [hep-th/0610251]
7. D. Gaiotto, S. Giombi and X. Yin, Spin chains in N = 6 superconformal Chern-Simons-matter theory [0806.4589]
8. G. Grignani, T. Harmark and M. Orselli, The SU(2) × SU(2) sector in the string dual of N = 6 superconformal Chern-Simons theory, [0806.4959]
9. T. Nishioka and T. Takayanagi, On type IIA Penrose limit and N = 6 Chern-Simons theories 2008 J. High Energy Phys. JHEP08(2008)001 [0806.3391]
10. 3 Bethe ansatz [0807.0777]
11. C. Ahn and R.I. Nepomechie, N = 6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations 2008 J. High Energy Phys. JHEP09(2008)010 [0807.1924]
12. D. Berenstein and D. Trancanelli, Three-dimensional N = 6 SCFT's and their membrane dynamics [0808.2503]
13. 3: dispersion, quantization and finite-size corrections [0807.2861]
14. N. Dorey and B. Vicedo, A symplectic structure for string theory on integrable backgrounds 2007 J. High Energy Phys. JHEP03(2007)045 [hep-th/0606287]
15. N. Dorey and B. Vicedo, On the dynamics of finite-gap solutions in classical string theory 2006 J. High Energy Phys. JHEP07(2006)014 [hep-th/0601194]
16. 5 superstring quantum spectrum from the algebraic curve 2008 Nucl. Phys. B 789 175 [hep-th/0703191]
17. 3 algebraic curve [0807.0437]
18. 3, [0807.1527]
19. 3 [0807.3965]
20. 3 [0807.4400]
21. 3 at one loop 2008 J. High Energy Phys. JHEP09(2008)092 [0807.4561]
22. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, A semi-classical limit of the gauge/string correspondence 2002 Nucl. Phys. B 636 99 [hep-th/0204051]
23. 5 2002 J. High Energy Phys. JHEP06(2002)007 [hep-th/0204226]
24. 3 [0807.4897]
25. 5: beyond the pp-wave 2003 Nucl. Phys. B 673 3 [hep-th/0307032]
26. C.G. Callan Jr., T. McLoughlin and I. Swanson, Holography beyond the Penrose limit 2004 Nucl. Phys. B 694 115 [hep-th/0404007]
27. D. Serban and M. Staudacher, Planar N = 4 gauge theory and the Inozemtsev long range spin chain 2004 J. High Energy Phys. JHEP06(2004)001 [hep-th/0401057]
28. A. Tirziu and A.A. Tseytlin, Quantum corrections to energy of short spinning string in AdS5 [0806.4758]
29. S. Catani, B.R. Webber and G. Marchesini, QCD coherent branching and semiinclusive processes at large x 1991 Nucl. Phys. B 349 635
30. Y. Dokshitzer, Gauging WONDERS. N = 4 SYM helping QCD: whether. How. When talk at the Wonders of Gauge theory and Supergravity conference Paris France June 23-28 2008, http://ipht.cea.fr/Images/Pisp/pvanhove/Paris08/index.html
31. 5: new integrable system relations 2004 Phys. Rev. D 69 086009 [hep-th/0311004]
32. 5: one-loop correction to energy in SL(2) sector, 2005 J. High Energy Phys. JHEP03(2005)013 [hep-th/0501203]
33. N. Beisert and A.A. Tseytlin, On quantum corrections to spinning strings and Bethe equations 2005 Phys. Lett. B 629 102 [hep-th/0509084]
34. S. Schäfer-Nameki and M. Zamaklar, Stringy sums and corrections to the quantum string Bethe ansatz 2005 J. High Energy Phys. JHEP10(2005)044 [hep-th/0509096]
35. S. Schäfer-Nameki, Exact expressions for quantum corrections to spinning strings 2006 Phys. Lett. B 639 571 [hep-th/0602214]
36. 5 and Bethe ansatz: a comparative study 2005 J. High Energy Phys. JHEP09(2005)051 [hep-th/0507189]
37. R. Hernandez and E. Lopez, Quantum corrections to the string Bethe ansatz 2006 J. High Energy Phys. JHEP07(2006)004 [hep-th/0603204]
38. G. Arutyunov, S. Frolov and M. Staudacher, Bethe ansatz for quantum strings 2004 J. High Energy Phys. JHEP10(2004)016 [hep-th/0406256]
39. P. Hoxha, R.R. Martinez-Acosta and C.N. Pope, Kaluza-Klein consistency, Killing vectors and Kähler spaces 2000 Class. Quantum Grav. 17 4207 [hep-th/0005172]
40. V.A. Kazakov, A. Marshakov, J.A. Minahan and K. Zarembo, Classical / quantum integrability in AdS/CFT 2004 J. High Energy Phys. JHEP05(2004)024 [hep-th/0402207]
41. 5 2006 Comm. Math. Phys. 263 659 [hep-th/0502226]
42. N. Beisert, A.A. Tseytlin and K. Zarembo, Matching quantum strings to quantum spins: one-loop vs. finite-size corrections 2005 Nucl. Phys. B 715 190 [hep-th/0502173]
43. R. Hernandez, E. Lopez, A. Perianez and G. Sierra, Finite size effects in ferromagnetic spin chains and quantum corrections to classical strings 2005 J. High Energy Phys. JHEP06(2005)011 [hep-th/0502188]
44. 3 2008 J. High Energy Phys. JHEP09(2008)096 [0807.0802]
45. S.F. Hassan, T-duality, space-time spinors and RR fields in curved backgrounds 2000 Nucl. Phys. B 568 145 [hep-th/9907152]
46. S. Frolov, A. Tirziu and A.A. Tseytlin, Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT 2007 Nucl. Phys. B 766 232 [hep-th/0611269]
47. 5 superstring 2007 J. High Energy Phys. JHEP07(2007)056 [0704.3638]
48. R. Roiban and A.A. Tseytlin, Strong-coupling expansion of cusp anomaly from quantum superstring 2007 J. High Energy Phys. JHEP11(2007)016 [0709.0681]
49. R. Roiban and A.A. Tseytlin, Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators 2008 Phys. Rev. D 77 066006 [0712.2479]
50. M. Kruczenski, Spin chains and string theory 2004 Phys. Rev. Lett. 93 161602 [hep-th/0311203]
51. 5 string theory and low energy expansion of ferromagnetic spin chains 2004 Nucl. Phys. B 692 3 [hep-th/0403120]
52. B.J. Stefanski and A.A. Tseytlin, Large spin limits of AdS/CFT and generalized Landau-Lifshitz equations 2004 J. High Energy Phys. JHEP05(2004)042 [hep-th/0404133]
53. 2 corrections to BMN energies from the quantum long range Landau-Lifshitz model 2005 J. High Energy Phys. JHEP11(2005)031 [hep-th/0510080]
54. J.A. Minahan, A. Tirziu and A.A. Tseytlin, 1/J corrections to semiclassical AdS/CFT states from quantum Landau-Lifshitz model 2006 Nucl. Phys. B 735 127 [hep-th/0509071]
55. J.A. Minahan, A. Tirziu and A.A. Tseytlin, Infinite spin limit of semiclassical string states 2006 J. High Energy Phys. JHEP08(2006)049 [hep-th/0606145]
56. V.A. Kazakov and K. Zarembo, Classical/quantum integrability in non-compact sector of AdS/CFT 2004 J. High Energy Phys. JHEP10(2004)060 [hep-th/0410105]
57. N. Gromov, V. Mikhaylov and P. Vieira, to appear
58. O. Lunin and J.M. Maldacena, Deforming field theories with U(1) × U(1) global symmetry and their gravity duals 2005 J. High Energy Phys. JHEP05(2005)033 [hep-th/0502086]
59. S.A. Frolov, R. Roiban and A.A. Tseytlin, Gauge-string duality for superconformal deformations of N = 4 super Yang-Mills theory 2005 J. High Energy Phys. JHEP07(2005)045 [hep-th/0503192]
60. N. Beisert and R. Roiban, Beauty and the twist: the Bethe ansatz for twisted N = 4 SYM 2005 J. High Energy Phys. JHEP08(2005)039 [hep-th/0505187]
61. P.Y. Casteill and C. Kristjansen, The strong coupling limit of the scaling function from the quantum string Bethe ansatz 2007 Nucl. Phys. B 785 1 [0705.0890]
62. N. Beisert and L. Freyhult, Fluctuations and energy shifts in the Bethe ansatz 2005 Phys. Lett. B 622 343 [hep-th/0506243]
63. 5 2005 Phys. Rev. D 71 026006 [hep-th/0408187]
64. 5 2003 Nucl. Phys. B 668 77 [hep-th/0304255]