Anomalous dimensions at four loops in N=6 superconformal Chern-Simons theories

Nuclear Physics B

Volumn 846, Issue 3, 2011, Pages 542-606

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

^a UPPSALA UNIVERSITY   (Sweden)

^b UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

Anomalous dimensions; Integrability; Wrapping

Indexed keywords

EID: 79951499368     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2011.01.016     Document Type: Article

References (42)

1. Aharony O., Bergman O., Jafferis D.L., Maldacena J. N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals arxiv:0806.1218.
2. Minahan J.A., Zarembo K. The Bethe-ansatz for N=4 super Yang-Mills. JHEP 2003, 0303:013. arxiv:hep-th/0212208.
3. Beisert N., Kristjansen C., Staudacher M. The dilatation operator of N=4 conformal super Yang-Mills theory. Nucl. Phys. B 2003, 664:131-184. arxiv:hep-th/0303060.
4. Beisert N., Staudacher M. The N=4 SYM integrable super spin chain. Nucl. Phys. B 2003, 670:439-463. arxiv:hep-th/0307042.
5. Minahan J.A., Zarembo K. The Bethe ansatz for superconformal Chern-Simons. JHEP 2008, 0809:040. arxiv:0806.3951.
6. Gaiotto D., Giombi S., Yin X. Spin chains in N=6 superconformal Chern-Simons-matter theory arxiv:0806.4589.
7. Bak D., Rey S.-J. Integrable spin chain in superconformal Chern-Simons theory. JHEP 2008, 0810:053. arxiv:0807.2063.
8. Beisert N. The su(2|2) dynamic S-matrix arxiv:hep-th/0511082.
9. Beisert N., Staudacher M. Long-range PSU(2,2|4) Bethe ansaetze for gauge theory and strings. Nucl. Phys. B 2005, 727:1-62. arxiv:hep-th/0504190.
10. Gromov N., Vieira P. The all loop AdS4/CFT3 Bethe ansatz arxiv:0807.0777.
11. Berenstein D., Trancanelli D. Three-dimensional N=6 SCFT's and their membrane dynamics. Phys. Rev. D 2008, 78:106009. arxiv:0808.2503.
12. Berenstein D., Trancanelli D. S-duality and the giant magnon dispersion relation arxiv:0904.0444.
13. Grignani G., Harmark T., Orselli M. The SU(2)×SU(2) sector in the string dual of N=6 superconformal Chern-Simons theory arxiv:0806.4959.
14. Nishioka T., Takayanagi T. On type IIA Penrose limit and N=6 Chern-Simons theories. JHEP 2008, 0808:001. arxiv:0806.3391.
15. McLoughlin T., Roiban R., Tseytlin A.A. Quantum spinning strings in AdS4×CP3: testing the Bethe Ansatz proposal. JHEP 2008, 0811:069. arxiv:0809.4038.
16. Aharony O., Bergman O., Jafferis D.L. Fractional M2-branes. JHEP 2008, 0811:043. arxiv:0807.4924.
17. Bak D., Gang D., Rey S.-J. Integrable spin chain of superconformal U(M)×U(N) Chern-Simons theory. JHEP 2008, 0810:038. arxiv:0808.0170.
18. Minahan J.A., Schulgin W., Zarembo K. Two loop integrability for Chern-Simons theories with N=6 supersymmetry. JHEP 2009, 0903:057. arxiv:0901.1142.
19. Kristjansen C., Orselli M., Zoubos K. Non-planar ABJM theory and integrability arxiv:0811.2150.
20. Caputa P., Kristjansen C., Zoubos K. Non-planar ABJ theory and parity. Phys. Lett. B 2009, 677:197-202. arxiv:0903.3354.
21. Minahan J.A., Ohlsson Sax O., Sieg C. Magnon dispersion to four loops in the ABJM and ABJ models. J. Phys. A 2010, 43:275402. arxiv:0908.2463.
22. Leoni M., Mauri A., Minahan J., Ohlsson Sax O., Santambrogio A., Sieg C., Tartaglino-Mazucchelli G. Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories. JHEP 2010, 1012:074. arxiv:1010.1756.
23. Gromov N., Kazakov V., Vieira P. Integrability for the full spectrum of planar AdS/CFT arxiv:0901.3753.
24. Gromov N., Kazakov V., Kozak A., Vieira P. Integrability for the full spectrum of planar AdS/CFT II arxiv:0902.4458.
25. Bombardelli D., Fioravanti D., Tateo R. Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal. J. Phys. A 2009, 42:375401. arxiv:0902.3930.
26. Arutyunov G., Frolov S. Thermodynamic Bethe Ansatz for the AdS5×S5 mirror model. JHEP 2009, 0905:068. arxiv:0903.0141.
27. Bak D., Min H., Rey S.-J. Generalized dynamical spin chain and 4-loop integrability in N=6 superconformal Chern-Simons theory arxiv:0904.4677.
28. J. Minahan, unpublished.
29. Bak D., Min H., Rey S.-J. Integrability of N=6 Chern-Simons theory at six loops and beyond arxiv:0911.0689.
30. Chen W., Semenoff G.W., Wu Y.-S. Two loop analysis of non-Abelian Chern-Simons theory. Phys. Rev. D 1992, 46:5521-5539. arxiv:hep-th/9209005.
31. Benna M., Klebanov I., Klose T., Smedback M. Superconformal Chern-Simons theories and AdS4/CFT3 correspondence. JHEP 2008, 0809:072. arxiv:0806.1519.
32. Beisert N., Dippel V., Staudacher M. A novel long range spin chain and planar N=4 super Yang-Mills. JHEP 2004, 0407:075. arxiv:hep-th/0405001.
33. Sieg C., Torrielli A. Wrapping interactions and the genus expansion of the 2-point function of composite operators. Nucl. Phys. B 2005, 723:3-32. arxiv:hep-th/0505071.
34. Ambjorn J., Janik R.A., Kristjansen C. Wrapping interactions and a new source of corrections to the spin-chain/string duality. Nucl. Phys. B 2006, 736:288-301. arxiv:hep-th/0510171.
35. Arutyunov G., Frolov S. String hypothesis for the AdS5×S5 mirror. JHEP 2009, 0903:152. arxiv:0901.1417.
36. Fiamberti F., Santambrogio A., Sieg C., Zanon D. Wrapping at four loops in N=4 SYM. Phys. Lett. B 2008, 666:100-105. arxiv:0712.3522.
37. Fiamberti F., Santambrogio A., Sieg C., Zanon D. Anomalous dimension with wrapping at four loops in N=4 SYM. Nucl. Phys. B 2008, 805:231-266. arxiv:0806.2095.
38. Broadhurst D.J. Evaluation of a class of Feynman diagrams for all numbers of loops and dimensions. Phys. Lett. B 1985, 164:356.
39. Fiamberti F., Santambrogio A., Sieg C., Zanon D. Single impurity operators at critical wrapping order in the beta-deformed N=4 SYM. JHEP 2009, 0908:034. arxiv:0811.4594.
40. Vasiliev A.N., Pismak Y.M., Khonkonen Y.R. 1/N expansion: calculation of the exponents eta and nu in the order 1/N2 for arbitrary number of dimensions. Theor. Math. Phys. 1981, 47:465-475.
41. Chetyrkin K.G., Kataev A.L., Tkachov F.V. New approach to evaluation of multiloop Feynman integrals: The Gegenbauer polynomial x space technique. Nucl. Phys. B 1980, 174:345-377.
42. Kotikov A.V. The Gegenbauer polynomial technique: the evaluation of a class of Feynman diagrams. Phys. Lett. B 1996, 375:240-248. arxiv:hep-ph/9512270.