Review of AdS/CFT Integrability, Chapter II.4: The Spectral Curve

Letters in Mathematical Physics

Volumn 99, Issue 1-3, 2012, Pages 169-190

  Schäfer Nameki, Sakura ^a,b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b KING'S COLLEGE LONDON   (United Kingdom)

Author keywords

AdS CFT; integrability; semi classical string quantization; spectral curve

Indexed keywords

EID: 84856212894     PISSN: 03779017     EISSN: 15730530     Source Type: Journal    
DOI: 10.1007/s11005-011-0525-6     Document Type: Review

References (42)

1. 5 superstring. Phys. Rev. D 69, 046002 (2004). doi: 10. 1103/PhysRevD. 69. 046002 (hep-th/0305116).
2. 5. Lett. Math. Phys. (Published in this volume, arxiv: 1012. 3987).
3. Kazakov V. A., Marshakov A., Minahan J. A., Zarembo K.: Classical/quantum integrability in AdS/CFT. JHEP 0405, 024 (2004). doi: 10. 1088/1126-6708/2004/05/024 (hep-th/0402207).
4. Kazakov V. A., Zarembo K.: Classical/quantum integrability in non-compact sector of AdS/CFT. JHEP 0410, 060 (2004). doi: 10. 1088/1126-6708/2004/10/060 (hep-th/0410105).
5. Beisert N., Kazakov V. A., Sakai K.: Algebraic curve for the SO(6) sector of AdS/CFT. Commun. Math. Phys. 263, 611 (2006). doi: 10. 1007/s00220-005-1528-x (hep-th/0410253).
6. Schäfer-Nameki S.: The algebraic curve of 1-loop planar N = 4 SYM. Nucl. Phys. B 714, 3 (2005). doi: 10. 1016/j. nuclphysb. 2005. 02. 034 (hep-th/0412254).
7. Beisert N., Kazakov V. A., Sakai K., Zarembo K.: Complete spectrum of long operators in N = 4 at one loop. JHEP 0507, 030 (2005). doi: 10. 1088/1126-6708/2005/07/030 (hep-th/0503200).
8. 5. Commun. Math. Phys. 263, 659 (2006). doi: 10. 1007/s00220-006-1529-4 (hep-th/0502226).
9. Beisert N., Frolov S., Staudacher M., Tseytlin A. A.: Precision spectroscopy of AdS/CFT. JHEP 0310, 037 (2003). doi: 10. 1088/1126-6708/2003/10/037 (hep-th/0308117).
10. Beisert N., Minahan J. A., Staudacher M., Zarembo K.: Stringing spins and spinning strings. JHEP 0309, 010 (2003). doi: 10. 1088/1126-6708/2003/09/010 (hep-th/0306139).
11. Beisert N., Freyhult L.: Fluctuations and energy shifts in the Bethe ansatz. Phys. Lett. B 622, 343 (2005). doi: 10. 1016/j. physletb. 2005. 07. 015 (hep-th/0506243).
12. 5 superstring quantum spectrum from the algebraic curve. Nucl. Phys. B 789, 175 (2008). doi: 10. 1016/j. nuclphysb. 2007. 07. 032 (hep-th/0703191).
13. Gromov N., Vieira P.: Constructing the AdS/CFT dressing factor. Nucl. Phys. B 790, 72 (2008). doi: 10. 1016/j. nuclphysb. 2007. 08. 019 (hep-th/0703266).
14. Gromov N., Vieira P.: Complete 1-loop test of AdS/CFT. JHEP 0804, 046 (2008). doi: 10. 1088/1126-6708/2008/04/046 (arxiv: 0709. 3487).
15. Gromov N., Schäfer-Nameki S., Vieira P.: Efficient precision quantization in AdS/CFT. JHEP 0812, 013 (2008). doi: 10. 1088/1126-6708/2008/12/013 (arxiv: 0807. 4752).
16. Gromov N., Schäfer-Nameki S., Vieira P.: Quantum Wrapped Giant Magnon. Phys. Rev. D 78, 026006 (2008). doi: 10. 1103/PhysRevD. 78. 026006 (arxiv: 0801. 3671).
17. Gromov N.: Generalized scaling function at strong coupling. JHEP 0811, 085 (2008). doi: 10. 1088/1126-6708/2008/11/085 (arxiv: 0805. 4615).
18. Vicedo B.: Semiclassical quantisation of finite-gap strings. JHEP 0806, 086 (2008). doi: 10. 1088/1126-6708/2008/06/086 (arxiv: 0803. 1605).
19. Gromov N.: Integrability in AdS/CFT correspondence: quasi-classical analysis. J. Phys. A 42, 254004 (2009). doi: 10. 1088/1751-8113/42/25/254004.
20. Beisert N., Eden B., Staudacher M.: Transcendentality and crossing. J. Stat. Mech. 0701, P021 (2007).
21. 5 strings. JHEP 0611, 070 (2006). doi: 10. 1088/1126-6708/2006/11/070 (hep-th/0609044).
22. Bajnok, Z.: Review of AdS/CFT Integrability, Chapter III. 6: Thermodynamic Bethe Ansatz. Lett. Math. Phys. (Published in this volume, arxiv: 1012. 3995).
23. 5 pure spinor superstring. JHEP 0403, 037 (2004). doi: 10. 1088/1126-6708/2004/03/037 (hep-th/0307018).
24. Berkovits N.: BRST cohomology and nonlocal conserved charges. JHEP 0502, 060 (2005). doi: 10. 1088/1126-6708/2005/02/060 (hep-th/0409159).
25. 5 background. JHEP 0503, 041 (2005). doi: 10. 1088/1126-6708/2005/03/041 (hep-th/0411170).
26. 5. arxiv: 0706. 1525.
27. 5 string solutions. Lett. Math. Phys. (Published in this volume, arxiv: 1012. 3986).
28. Magro, M.: Review of AdS/CFT Integrability, Chapter II. 3: Sigma Model, Gauge Fixing. Lett. Math. Phys. (Published in this volume, arxiv: 1012. 3988).
29. Babelon O., Bernard D., Talon M.: Introduction to Classical Integrable Systems. Cambridge University Press, Cambridge (2003).
30. Vicedo, B.: Finite-g strings. arxiv: 0810. 3402.
31. Dorey N., Vicedo B.: A symplectic structure for string theory on integrable backgrounds. JHEP 0703, 045 (2007). doi: 10. 1088/1126-6708/2007/03/045 (hep-th/0606287).
32. 5. Nucl. Phys. B 668, 77 (2003). doi: 10. 1016/S0550-3213(03)00580-7 (hep-th/0304255).
33. Minahan J. A., Zarembo K.: The Bethe-ansatz for N = 4 super Yang-Mills. JHEP 0303, 013 (2003). doi: 10. 1088/1126-6708/2003/03/013 (hep-th/0212208).
34. Beisert N.: The dilatation operator of N = 4 super Yang-Mills theory and integrability. Phys. Rept. 405, 1 (2005). doi: 10. 1016/j. physrep. 2004. 09. 007 (hep-th/0407277).
35. Beisert N.: The complete one-loop dilatation operator of N = 4 super Yang-Mills theory. Nucl. Phys. B 676, 3 (2004). doi: 10. 1016/j. nuclphysb. 2003. 10. 019 (hep-th/0307015).
36. Beisert N., Staudacher M.: The N = 4 Integrable Super Spin Chain. Nucl. Phys. B 670, 439 (2003). doi: 10. 1016/j. nuclphysb. 2003. 08. 015 (hep-th/0307042).
37. Beisert N.: Staudacher M.: Long-range PSU(2, 2/4) Bethe ansaetze for gauge theory and strings. Nucl. Phys. B 727, 1 (2005). doi: 10. 1016/j. nuclphysb. 2005. 06. 038 (hep-th/0504190).
38. Minahan, J. A.: Review of AdS/CFT Integrability, Chapter I. 1: Spin Chains in N = 4. Lett. Math. Phys. (Published in this volume, arxiv: 1012. 3983).
39. Staudacher, M.: Review of AdS/CFT Integrability, Chapter III. 1: Bethe Ansätze and the R-Matrix Formalism. Lett. Math. Phys. (Published in this volume, arxiv: 1012. 3990).
40. 5. JHEP 0307, 016 (2003). doi: 10. 1088/1126-6708/2003/07/016 (hep-th/0306130).
41. 5. Phys. Rev. D 71, 026006 (2005). doi: 10. 1103/PhysRevD. 71. 026006 (hep-th/0408187).
42. Schäfer-Nameki S.: Exact expressions for quantum corrections to spinning strings. Phys. Lett. B 639, 571 (2006). doi: 10. 1016/j. physletb. 2006. 03. 033 (hep-th/0602214).