Magnon dispersion to four loops in the ABJM and ABJ models

Journal of Physics A: Mathematical and Theoretical

Volumn 43, Issue 27, 2010, Pages

  Minahan, J A ^a   Sax, O Ohlsson ^a   Sieg, C ^b  

^a UPPSALA UNIVERSITY   (Sweden)

^b UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77953794364     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/43/27/275402     Document Type: Article

References (43)

1. Aharony O, Bergman O, Jafferis D L and Maldacena J 2008 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals arXiv:0806.1218
2. Minahan J A and Zarembo K 2003 The Bethe ansatz for super Yang-Mills J. High Energy Phys. JHEP03(2003)013 (arXiv:hep-th/0212208)
3. Beisert N, Kristjansen C and Staudacher M 2003 The dilatation operator of conformal super Yang-Mills theory Nucl. Phys. B 664 131-84 (arXiv:hep-th/ 0303060)
4. Beisert N and Staudacher M 2003 The SYM integrable super spin chain Nucl. Phys. B 670 439-63 (arXiv:hep-th/0307042)
5. Minahan J A and Zarembo K 2008 The Bethe ansatz for superconformal Chern-Simons J. High Energy Phys. JHEP09(2008)040 (arXiv:0806.3951)
6. Gaiotto D, Giombi S and Yin X 2008 Spin chains in superconformal Chern-Simons-matter theory arXiv:0806.4589
7. Bak D and Rey S-J 2008 Integrable spin chain in superconformal Chern-Simons theory J. High Energy Phys. JHEP10(2008)053 (arXiv:0807.2063)
8. Zwiebel B I 2009 Two-loop integrability of planar superconformal Chern-Simons theory arXiv:0901.0411
9. Minahan J A, Schulgin W and Zarembo K 2009 Two loop integrability for Chern-Simons theories with supersymmetry J. High Energy Phys. JHEP03(2009)057 (arXiv:0901.1142)
10. Beisert N 2005 The su(2|2) dynamic S-matrix arXiv:hep-th/0511082
11. Gromov N and Vieira P 2008 The all loop AdS4/CFT3 Bethe ansatz arXiv:0807.0777
12. Berenstein D and Trancanelli D 2008 Three-dimensional SCFT's and their membrane dynamics Phys. Rev. D 78 106009 (arXiv:0808.2503)
13. Berenstein D and Trancanelli D 2009 S-duality and the giant magnon dispersion relation arXiv:0904.0444
14. Grignani G, Harmark T and Orselli M 2008 The SU(2) × SU(2) sector in the string dual of superconformal Chern-Simons theory arXiv:0806.4959
15. Nishioka T and Takayanagi T 2008 On type IIA penrose limit and Chern-Simons theories J. High Energy Phys. JHEP08(2008)001 (arXiv:0806.3391)
16. 3: testing the Bethe Ansatz proposal J. High Energy Phys. JHEP11(2008)069 (arXiv:0809.4038)
17. Aharony O, Bergman O and Jafferis D. L 2008 Fractional M2-branes J. High Energy Phys. JHEP11(2008)043 (arXiv:0807.4924)
18. Bak D, Gang D and Rey S-J 2008 Integrable Spin chain of superconformal U(M) × U(N) Chern-Simons theory J. High Energy Phys. JHEP10(2008)038 (arXiv:0808.0170)
19. Kristjansen C, Orselli M and Zoubos K 2009 Non-planar ABJM theory and integrability J. High Energy Phys. JHEP03(2009)037 (arXiv:0811.2150)
20. Caputa P, Kristjansen C and Zoubos K 2009 Non-planar ABJ theory and parity Phys. Lett. B 677 197-202 (arXiv:0903.3354)
21. Chen W, Semenoff G W and Wu Y-S 1992 Two loop analysis of non-Abelian Chern-simons theory Phys. Rev. D 46 5521-39 (arXiv:hep-th/9209005)
22. Kazakov D I 1984 Calculation of Feynman integrals by the method of 'uniqueness' Theor. Math. Phys. 58 223-30
23. Broadhurst D J 1985 Evaluation of a class of Feynman diagrams for all numbers of loops and dimensions Phys. Lett. B 164 356
24. Chetyrkin K G, Kataev A L and Tkachov F V 1980 New approach to evaluation of multiloop Feynman integrals: the Gegenbauer polynomial x space technique Nucl. Phys. B 174 345-77
25. Kotikov A V 1996 The Gegenbauer polynomial technique: the evaluation of a class of Feynman diagrams Phys. Lett. B 375 240-8 (arXiv:hep-ph/9512270)
26. Vasiliev A N, Pismak Y M and Khonkonen Y R 1981 1/N expansion: calculation of the exponents η and ν in the order 1/N**2 for arbitrary number of dimensions Theor. Math. Phys. 47 465-75
27. Gromov N, Kazakov V and Vieira P Integrability for the full spectrum of planar AdS/CFT arXiv:0901.3753
28. Gromov N, Kazakov V, Kozak A and Vieira P 2009 Integrability for the full spectrum of planar AdS/CFT II arXiv:0902.4458
29. Bombardelli D, Fioravanti D and Tateo R 2009 Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal J. Phys. A: Math. Theor. 42 375401 (arXiv:0902.3930)
30. 5 mirror model J. High Energy Phys. JHEP05(2009)068 (arXiv:0903.0141)
31. 3 Nucl. Phys. B 834 543-61 (arXiv:0912.4715)
32. 3 arXiv:0912.4911
33. Minahan J A, Sax O Ohlsson and Sieg C 2009 Anomalous dimensions at four loops in N = 6 superconformal Chern-Simons theories arXiv:0912.3460
34. Bak D, Min H and Rey S-J 2009 Generalized dynamical spin chain and 4-loop integrability in superconformal Chern-Simons theory arXiv:0904.4677
35. 3 correspondence J. High Energy Phys. JHEP09(2008)072 (arXiv:0806.1519)
36. Beisert N, Dippel V and Staudacher M 2004 A novel long range spin chain and planar super Yang-Mills J. High Energy Phys. JHEP07(2004)075 (arXiv:hep-th/0405001)
37. Sieg C and Torrielli A 2005 Wrapping interactions and the genus expansion of the 2-point function of composite operators Nucl. Phys. B 723 3-32 (arXiv:hep-th/0505071)
38. Ambjorn J, Janik R A and Kristjansen C 2006 Wrapping interactions and a new source of corrections to the spin-chain / string duality Nucl. Phys. B 736 288-301 (arXiv:hep-th/0510171)
39. Arutyunov G and Frolov S 2007 On string S-matrix, bound states and TBA J. High Energy Phys. JHEP12(2007)024 (arXiv:0710.1568)
40. 5 mirror J. High Energy Phys. JHEP03(2009)152 (arXiv:0901.1417)
41. Fiamberti F, Santambrogio A, Sieg C and Zanon D 2008 Anomalous dimension with wrapping at four loops in SYM Nucl. Phys. B 805 231-66 (arXiv:0806.2095)
42. Bergman O and Hirano S 2009 Anomalous radius shift in AdS(4)/CFT(3) J. High Energy Phys. JHEP07(2009)016 (arXiv:0902.1743)
43. Aharony O, Hashimoto A, Hirano S and Ouyang P 2009 D-brane charges in gravitational duals of (2+1)-dimensional gauge theories and duality cascades arXiv:0906.2390