A relativistic relative of the magnon S-matrix

Journal of High Energy Physics

Volumn 2011, Issue 11, 2011, Pages

  Hoare, Ben ^a   Hollowood, Timothy J ^b   Luis Miramontes, J ^c  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b SWANSEA UNIVERSITY   (United Kingdom)

^c UNIVERSITY OF SANTIAGO DE COMPOSTELA   (Spain)

Author keywords

AdS CFT correspondence; Integrable field theories; Quantum groups

Indexed keywords

EID: 84859556602     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP11(2011)048     Document Type: Article

References (65)

1. N. Beisert et al., Review of AdS/CFT Integrability: An Overview, arXiv:1012.3982 [INSPIRE].
2. A. Mikhailov, An Action variable of the sine-Gordon model, J. Geom. Phys. 56 (2006) 2429 [hep-th/0504035] [INSPIRE].
3. A. Mikhailov, A Nonlocal Poisson bracket of the sine-Gordon model, J. Geom. Phys. 61 (2011) 85 [hep-th/0511069] [INSPIRE].
4. D.M. Schmidtt, Supersymmetry Flows, Semi-Symmetric Space sine-Gordon Models And The Pohlmeyer Reduction, JHEP 03 (2011) 021 [arXiv:1012.4713] [INSPIRE].
5. D.M. Schmidtt, Integrability vs Supersymmetry: Poisson Structures of The Pohlmeyer Reduction, arXiv:1106.4796 [INSPIRE].
6. 5 superstring σ-model, Nucl. Phys. B 800 (2008) 450 [arXiv:0711.0155] [INSPIRE].
7. K. Pohlmeyer, Integrable Hamiltonian Systems and Interactions Through Quadratic Constraints, Commun. Math. Phys. 46 (1976) 207 [INSPIRE].
8. D.M. Hofman and J.M. Maldacena, Giant Magnons, J. Phys. A A 39 (2006) 13095 [hep-th/0604135] [INSPIRE].
9. R. Roiban and A.A. Tseytlin, UV finiteness of Pohlmeyer-reduced form of the AdS5 × S5 superstring theory, JHEP 04 (2009) 078 [arXiv:0902.2489] [INSPIRE].
10. n, Int. J. Mod. Phys. A 23 (2008) 2107 [arXiv:0806.2623] [INSPIRE].
11. 5, JHEP 05 (2008) 075 [arXiv:0711.0195] [INSPIRE].
12. J. Miramontes, Pohlmeyer reduction revisited, JHEP 10 (2008) 087 [arXiv:0808.3365] [INSPIRE].
13. V.V. Serganova, Classification of real simple Lie superalgebras and symmetric superspaces, Funct. Anal. Appl. 17 (1983) 200.
14. K. Zarembo, Strings on Semisymmetric Superspaces, JHEP 05 (2010) 002 [arXiv:1003.0465] [INSPIRE].
15. 5 Semi-Symmetric Space sine-Gordon Theory, JHEP 05 (2011) 136 [arXiv:1104.2429] [INSPIRE].
16. n Superstrings, JHEP 09 (2011) 078 [arXiv:1104.0706] [INSPIRE].
17. T.J. Hollowood and J. Miramontes, The Semi-Classical Spectrum of Solitons and Giant Magnons, JHEP 05 (2011) 062 [arXiv:1103.3148] [INSPIRE].
18. T.J. Hollowood and J. Miramontes, Classical and Quantum Solitons in the Symmetric Space sine-Gordon Theories, JHEP 04 (2011) 119 [arXiv:1012.0716] [INSPIRE].
19. 5 Superstring. Part I, J. Phys. A A 42 (2009) 254003 [arXiv:0901.4937] [INSPIRE].
20. V.V. Serganova, Automorphisms of simple Lie superalgebras, Math. USSR Izv. 24 (1985) 539.
21. V.G. Kac, Progress in Mathematics. Vol. 44: Infinite Dimensional Lie Algebras: an Introduction, Birkhäuser Boston, Boston U.S.A. (1983).
22. q[osp(2|2)], invariant R-matrices and a new integrable electronic model, J. Phys. A 30 (1997) 4313.
23. V.V. Serganova, Kac-Moody superalgebras and integrability, in Progress in Mathematics. Vol. 288: Developments and Trends in Infinite-Dimensional Lie Theory, Birkhäuser Boston, Boston U.S.A. (2011), pg. 169.
24. T.J. Hollowood and J. Miramontes, The Relativistic Avatars of Giant Magnons and their S-matrix, JHEP 10 (2010) 012 [arXiv:1006.3667] [INSPIRE].
25. Bernard, Denis and A. Leclair, Quantum group symmetries and nonlocal currents in 2 − D QFT, Commun. Math. Phys. 142 (1991) 99 [INSPIRE].
26. H. de Vega and V. Fateev, Factorizable S-matrices for perturbed W invariant theories, Int. J. Mod. Phys. A 6 (1991) 3221 [INSPIRE].
27. T.J. Hollowood, Quantizing SL(N) solitons and the Hecke algebra, Int. J. Mod. Phys. A 8 (1993) 947 [hep-th/9203076] [INSPIRE].
28. T.J. Hollowood, The Analytic structure of trigonometric S matrices, Nucl. Phys. B 414 (1994) 379 [hep-th/9305042] [INSPIRE].
29. G. Delius, Exact S-matrices with affine quantum group symmetry, Nucl. Phys. B 451 (1995) 445 [hep-th/9503079] [INSPIRE].
30. G.M. Gandenberger, Trigonometric S-matrices, affine Toda solitons and supersymmetry, Int. J. Mod. Phys. A 13 (1998) 4553 [hep-th/9703158] [INSPIRE].
31. Z.S. Bassi and A. LeClair, The Exact S-matrix for an osp(2|2) disordered system, Nucl. Phys. B 578 (2000) 577 [hep-th/9911105] [INSPIRE].
32. N. Beisert and P. Koroteev, Quantum Deformations of the One-Dimensional Hubbard Model, J. Phys. A A 41 (2008) 255204 [arXiv:0802.0777] [INSPIRE].
33. N. Beisert, The Classical Trigonometric r-Matrix for the Quantum-Deformed Hubbard Chain, J. Phys. A A 44 (2011) 265202 [arXiv:1002.1097] [INSPIRE].
34. B. Hoare and A. Tseytlin, Tree-level S-matrix of Pohlmeyer reduced form of AdS5 × S5 superstring theory, JHEP 02 (2010) 094 [arXiv:0912.2958] [INSPIRE].
35. 5 superstring theory, Nucl. Phys. B 851 (2011) 161 [arXiv:1104.2423] [INSPIRE].
36. A. Alekseev and S.L. Shatashvili, Quantum groups and WZW models, Commun. Math. Phys. 133 (1990) 353 [INSPIRE].
37. L. Caneschi and M. Lysiansky, Chiral quantization of the WZW SU(n) model, Nucl. Phys. B 505 (1997) 701 [hep-th/9605099] [INSPIRE].
38. K. Gawędzki, Classical origin of quantum group symmetries in Wess-Zumino-Witten conformal field theory, Commun. Math. Phys. 139 (1991) 201 [INSPIRE].
39. A. Alekseev, L. Faddeev and M. Semenov-Tian-Shansky, Hidden quantum groups inside Kac-Moody algebra, Commun. Math. Phys. 149 (1992) 335 [INSPIRE].
40. B. Hoare and A. Tseytlin, On the perturbative S-matrix of generalized sine-Gordon models, JHEP 11 (2010) 111 [arXiv:1008.4914] [INSPIRE].
41. T.J. Hollowood and J. Miramontes, A New and Elementary CPn Dyonic Magnon, JHEP 08 (2009) 109 [arXiv:0905.2534] [INSPIRE].
42. T.J. Hollowood and J. Miramontes, Magnons, their Solitonic Avatars and the Pohlmeyer Reduction, JHEP 04 (2009) 060 [arXiv:0902.2405] [INSPIRE].
43. Y.-Z. Zhang and M.D. Gould, A Unified and complete construction of all finite dimensional irreducible representations of gl(2|2), J. Math. Phys. 46 (2005) 013505 [math/0405043] [INSPIRE].
44. M. Karowski, On the bound state problem in (1+1)-dimensional field theories, Nucl. Phys. B 153 (1979) 244 [INSPIRE].
45. M. Jimbo, A q difference analog of U(g) and the Yang-Baxter equation, Lett. Math. Phys. 10 (1985) 63 [INSPIRE].
46. M. Jimbo, A q Analog of u(Gl(n + 1)), Hecke Algebra and the Yang-Baxter Equation, Lett. Math. Phys. 11 (1986) 247 [INSPIRE].
47. M. Jimbo, T. Miwa and M. Okado, Solvable lattice models related to the vector representation of classical simple Lie algebras, Commun. Math. Phys. 116 (1988) 507 [INSPIRE].
48. M. Jimbo, introduction to the Yang-Baxter equation, Int. J. Mod. Phys. A 4 (1989) 3759 [INSPIRE].
49. N. Beisert, The Analytic Bethe Ansatz for a Chain with Centrally Extended SU(2|2) Symmetry, J. Stat. Mech. 0701 (2007) P01017 [nlin/0610017] [INSPIRE].
50. N. Beisert, The SU(2|2) dynamic S-matrix, Adv. Theor. Math. Phys. 12 (2008) 945 [hep-th/0511082] [INSPIRE].
51. 5, JHEP 03 (2007) 094 [hep-th/0611169] [INSPIRE].
52. 5 superstring, JHEP 04 (2007) 002 [hep-th/0612229] [INSPIRE].
53. N.A. Ky and N.I. Stoilova, Finite dimensional representations of the quantum superalgebra U − q(gl(2/2)). 2. Nontypical representations at generic q, J. Math. Phys. 36 (1995) 5979 [hep-th/9411098] [INSPIRE].
54. N.A. Ky, Finite dimensional representations of the quantum superalgebra U − q(gl(2/2)). 1. Typical representations at generic q, J. Math. Phys. 35 (1994) 2583 [hep-th/9305183] [INSPIRE].
55. A.B. Zamolodchikov and A.B. Zamolodchikov, Factorized s Matrices in Two-Dimensions as the Exact Solutions of Certain Relativistic Quantum Field Models, Annals Phys. 120 (1979) 253 [INSPIRE].
56. P. Dorey, Exact S-matrices, hep-th/9810026 [INSPIRE].
57. E. Corrigan, P. Dorey and R. Sasaki, On a generalized bootstrap principle, Nucl. Phys. B 408 (1993) 579 [hep-th/9304065] [INSPIRE].
58. G. Delius, M.T. Grisaru and D. Zanon, Exact S-matrices for nonsimply laced affine Toda theories, Nucl. Phys. B 382 (1992) 365 [hep-th/9201067] [INSPIRE].
59. N. Beisert, W. Galleas and T. Matsumoto, A Quantum Affine Algebra for the Deformed Hubbard Chain, arXiv:1102.5700 [INSPIRE].
60. H.-Y. Chen, N. Dorey and K. Okamura, On the scattering of magnon boundstates, JHEP 11 (2006) 035 [hep-th/0608047] [INSPIRE].
61. R. Roiban, Magnon Bound-state Scattering in Gauge and String Theory, JHEP 04 (2007) 048 [hep-th/0608049] [INSPIRE].
62. H.-Y. Chen, N. Dorey and K. Okamura, The Asymptotic spectrum of the N = 4 super Yang-Mills spin chain, JHEP 03 (2007) 005 [hep-th/0610295] [INSPIRE].
63. N. Dorey, D.M. Hofman and J.M. Maldacena, On the Singularities of the Magnon S-matrix, Phys. Rev. D 76 (2007) 025011 [hep-th/0703104] [INSPIRE].
64. N. Dorey and K. Okamura, Singularities of the Magnon Boundstate S-matrix, JHEP 03 (2008) 037 [arXiv:0712.4068] [INSPIRE].
65. G. Arutyunov and S. Frolov, The S-matrix of String Bound States, Nucl. Phys. B 804 (2008) 90 [arXiv:0803.4323] [INSPIRE].