On the spectral problem of N = 4 SYM with orthogonal or symplectic gauge group

Journal of High Energy Physics

Volumn 2010, Issue 10, 2010, Pages

  Caputa, Pawel ^a   Kristjansen, Charlotte ^a   Zoubos, Konstantinos ^a  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

1 N expansion; AdS CFT correspondence

Indexed keywords

EID: 78649689910     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP10(2010)082     Document Type: Article

References (57)

1. J. A. Minahan and K. Zarembo, The Bethe-ansatz for N = 4 super Yang-Mills, JHEP 03 (2003) 013 [hep-th/0212208]
2. N. Beisert, C. Kristjansen and M. Staudacher, The dilatation operator of N = 4 super Yang-Mills theory, Nucl. Phys. B 664 (2003) 131 [hep-th/0303060]
3. N. Beisert and M. Staudacher, Long-range PSU (2, 2|4) Bethe ansaetze for gauge theory and strings, Nucl. Phys. B 727 (2005) 1 [hep-th/0504190]
4. N. Beisert, B. Eden and M. Staudacher, Transcendentality and crossing, J. Stat. Mech. (2007) P01021 [hep-th/0610251]
5. 5 strings, JHEP 11 (2006) 070 [hep-th/0609044]
6. J. Ambjørn, R. A. Janik and C. Kristjansen, Wrapping interactions and a new source of corrections to the spin-chain/string duality, Nucl. Phys. B 736 (2006) 288 [hep-th/0510171]
7. N. Gromov, V. Kazakov and P. Vieira, Exact Spectrum of Anomalous Dimensions of Planar N = 4 Supersymmetric Yang-Mills Theory, Phys. Rev. Lett. 103 (2009) 131601 [arXiv:0901.3753]
8. 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]
9. 5 Mirror Model, JHEP 05 (2009) 068 [arXiv:0903.0141]
10. N. Beisert, C. Kristjansen, J. Plefka and M. Staudacher, BMN gauge theory as a quantum mechanical system, Phys. Lett. B 558 (2003) 229 [hep-th/0212269]
11. C. Kristjansen, M. Orselli and K. Zoubos, Non-planar ABJM Theory and Integrability, JHEP 03 (2009) 037 [arXiv:0811.2150]
12. P. Caputa, C. Kristjansen and K. Zoubos, Non-planar ABJ Theory and Parity, Phys. Lett. B 677 (2009) 197 [arXiv:0903.3354]
13. G. M. Cicuta, Topological expansion for SO (N) and Sp (2N) gauge theories, Nuovo Cim. Lett. 35 (1982) 87
14. E. Witten, Baryons and branes in anti de Sitter space, JHEP 07 (1998) 006 [hep-th/9805112]
15. E. G. Gimon and J. Polchinski, Consistency Conditions for Orientifolds and D-Manifolds, Phys. Rev. D 54 (1996) 1667 [hep-th/9601038]
16. A. Doikou and R. I. Nepomechie, Parity and Charge Conjugation Symmetries and S Matrix of the XXZ Chain, hep-th/9810034
17. N. Beisert, J. A. Minahan, M. Staudacher and K. Zarembo, Stringing spins and spinning strings, JHEP 09 (2003) 010 [hep-th/0306139]
18. N. Beisert, V. Dippel and M. Staudacher, A novel long range spin chain and planar N = 4 super Yang-Mills, JHEP 07 (2004) 075 [hep-th/0405001]
19. A. Ipsen, private communication.
20. B. Chen, X.-J. Wang and Y.-S. Wu, Integrable open spin chain in super Yang-Mills and the plane-wave/SYM duality, JHEP 02 (2004) 029 [hep-th/0401016]
21. B. Chen, X.-J. Wang and Y.-S. Wu, Open spin chain and open spinning string, Phys. Lett. B 591 (2004) 170 [hep-th/0403004]
22. T. Erler and N. Mann, Integrable open spin chains and the doubling trick in N = 2 SYM with fundamental matter, JHEP 01 (2006) 131 [hep-th/0508064]
23. N. Beisert and F. Loebbert, Open Perturbatively Long-Range Integrable gl (N) Spin Chains, Adv. Sci. Lett. 2 (2009) 261 [arXiv:0805.3260]
24. R. L. Mkrtchian, The equivalence of SP (2N) and SO (2N) gauge theories, Phys. Lett. B 105 (1981) 174
25. P. Cvitanovic and A. D. Kennedy, Spinors In Negative Dimensions, Phys. Scripta 26 (1982) 5.
26. R. A. Janik, BMN operators and string field theory, Phys. Lett. B 549 (2002) 237 [hep-th/0209263]
27. D. E. Berenstein, J. M. Maldacena and H. S. Nastase, Strings in flat space and pp waves from N = 4 super Yang-Mills, JHEP 04 (2002) 013 [hep-th/0202021]
28. C. Kristjansen, J. Plefka, G. W. Semenoff and M. Staudacher, A new double-scaling limit of N = 4 super Yang-Mills theory and PP-wave strings, Nucl. Phys. B 643 (2002) 3 [hep-th/0205033]
29. N. R. Constable et al., PP-wave string interactions from perturbative Yang-Mills theory, JHEP 07 (2002) 017 [hep-th/0205089]
30. G. Grignani, M. Orselli, B. Ramadanovic, G. W. Semenoff and D. Young, AdS/CFT vs. string loops, JHEP 06 (2006) 040 [hep-th/0605080]
31. B. Eden and M. Staudacher, Integrability and transcendentality, J. Stat. Mech. (2006) P11014 [hep-th/0603157]
32. Z. Bern, M. Czakon, L. J. Dixon, D. A. Kosower and V. A. Smirnov, The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory, Phys. Rev. D 75 (2007) 085010 [hep-th/0610248]
33. N. Beisert and A. A. Tseytlin, On quantum corrections to spinning strings and Bethe equations, Phys. Lett. B 629 (2005) 102 [hep-th/0509084]
34. N. Beisert and T. Klose, Long-range gl (n) integrable spin chains and plane-wave matrix theory, J. Stat. Mech. (2006) P07006 [hep-th/0510124]
35. A. S. Fokas and B. Fuchssteiner, The hierarchy of the benjamin-ono equation, Phys. Lett. A 86 (1981) 341
36. M. G. Tetel'man, Lorentz group for two-dimensional integrable lattice systems, Zh. Eksp. Teor. Fiz. 82 (1982) 528
37. [Sov. Phys. JETP 55 (1982) 306].
38. T. Bargheer, N. Beisert and F. Loebbert, Boosting Nearest-Neighbour to Long-Range Integrable Spin Chains, J. Stat. Mech. (2008) L11001 [arXiv:0807.5081]
39. T. Bargheer, N. Beisert and F. Loebbert, Long-Range Deformations for Integrable Spin Chains, J. Phys. A 42 (2009) 285205 [arXiv:0902.0956]
40. M. P. Grabowski and P. Mathieu, Integrability test for spin chains, J. Phys. A 28 (1995) 4777 [hep-th/9412039]
41. N. Beisert and D. Erkal, Yangian Symmetry of Long-Range gl (N) Integrable Spin Chains, J. Stat. Mech. (2008) P03001 [arXiv:0711.4813]
42. M. P. Grabowski and P. Mathieu, Quantum integrals of motion for the Heisenberg spin chain, hep-th/9403149
43. D. Serban and M. Staudacher, Planar N = 4 gauge theory and the Inozemtsev long range spin chain, JHEP 06 (2004) 001 [hep-th/0401057]
44. N. Beisert, The SU (2|2) dynamic S-matrix, Adv. Theor. Math. Phys. 12 (2008) 945 [hep-th/0511082]
45. G. Arutyunov, S. Frolov and M. Staudacher, Bethe ansatz for quantum strings, JHEP 10 (2004) 016 [hep-th/0406256]
46. B. Stefanski Jr., Open spinning strings, JHEP 03 (2004) 057 [hep-th/0312091]
47. Z. Kakushadze, Gauge theories from orientifolds and large-N limit, Nucl. Phys. B 529 (1998) 157 [hep-th/9803214]
48. S. S. Gubser, I. R. Klebanov and A. M. Polyakov, A semi-classical limit of the gauge/string correspondence, Nucl. Phys. B 636 (2002) 99 [hep-th/0204051]
49. 5, JHEP 06 (2002) 007 [hep-th/0204226]
50. 5, Nucl. Phys. B 668 (2003) 77 [hep-th/0304255]
51. D. M. Hofman and J. M. Maldacena, Giant magnons, J. Phys. A 39 (2006) 13095 [hep-th/0604135]
52. D. Gaiotto, S. Giombi and X. Yin, Spin Chains in N = 6 Superconformal Chern-Simons-Matter Theory, JHEP 04 (2009) 066 [arXiv:0806.4589]
53. G. Grignani, T. Harmark and M. Orselli, The SU (2) x SU (2) sector in the string dual of N = 6 superconformal Chern-Simons theory, Nucl. Phys. B 810 (2009) 115 [arXiv:0806.4959]
54. 3: Embeddings, Charges and a Hamiltonian, JHEP 04 (2009) 136 [arXiv:0811.2423]
55. 3: Strings and Curves at Finite J, Phys. Rev. D 80 (2009) 026005 [arXiv:0903.3365]
56. K. Peeters, J. Plefka and M. Zamaklar, Splitting spinning strings in AdS/CFT, JHEP 11 (2004) 054 [hep-th/0410275]
57. P. Y. Casteill, R. A. Janik, A. Jarosz and C. Kristjansen, Quasilocality of joining/splitting strings from coherent states, JHEP 12 (2007) 069 [arXiv:0710.4166]