Classical and quantum solitons in the symmetric space sine-Gordon theories

Journal of High Energy Physics

Volumn 2011, Issue 4, 2011, Pages

  Hollowood, Timothy J ^a,b   Miramontes, J Luis ^a,b  

^a SWANSEA UNIVERSITY   (United Kingdom)

^b Universidade de Santiago de Compostela   (Spain)

Author keywords

AdS CFT Correspondence; Integrable Field Theories; Solitons Monopoles and Instantons

Indexed keywords

EID: 80053123113     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP04(2011)119     Document Type: Article

References (47)

1. K. Pohlmeyer, Integrable Hamiltonian Systems and Interactions Through Quadratic Constraints, Commun. Math. Phys. 46 (1976) 207 [SPIRES].
2. J.L. Miramontes, Pohlmeyer reduction revisited, JHEP 10 (2008) 087 [arXiv:0808.3365] [SPIRES].
3. A.A. Tseytlin, Spinning strings and AdS/CFT duality, hep-th/0311139 [SPIRES].
4. A. Mikhailov, An action variable of the sine-Gordon model, J. Geom. Phys. 56 (2006) 2429 [hep-th/0504035] [SPIRES].
5. A. Mikhailov, A nonlocal Poisson bracket of the sine-Gordon model, J. Geom. Phys., 61 2011 85 [hep-th/0511069] [SPIRES]
6. 5 superstring σ-model, Nucl. Phys. B 800 (2008) 450 [arXiv:0711.0155] [SPIRES].
7. 5, JHEP 05 (2008) 075 [arXiv:0711.0195] [SPIRES].
8. n, Int. J. Mod. Phys. A 23 (2008) 2107 [arXiv:0806.2623] [SPIRES].
9. 5 superstring theory, JHEP 04 (2009) 078 [arXiv:0902.2489] [SPIRES].
10. 5: semiclassical expansion, J. Phys. A 42 (2009) 375204 [arXiv:0906.3800] [SPIRES].
11. 5 superstring theory, JHEP 02 (2010) 094 [arXiv:0912.2958] [SPIRES].
12. 5 superstring partition function via Pohlmeyer reduction, J. Phys. A 43 (2010) 345403 [arXiv:1005.4386] [SPIRES].
13. B. Hoare and A.A. Tseytlin, On the perturbative S-matrix of generalized sine-Gordon models, JHEP 11 (2010) 111 [arXiv:1008.4914] [SPIRES].
14. K. Zarembo, Strings on Semisymmetric Superspaces, JHEP 05 (2010) 002 [arXiv:1003.0465] [SPIRES].
15. 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 [SPIRES].
16. T.J. Hollowood and J.L. Miramontes, Magnons, their Solitonic Avatars and the Pohlmeyer Reduction, JHEP 04 (2009) 060 [arXiv:0902.2405] [SPIRES].
17. n Dyonic Magnon, JHEP 08 (2009) 109 [arXiv:0905.2534] [SPIRES].
18. T.J. Hollowood and J.L. Miramontes, The Relativistic Avatars of Giant Magnons and their S-matrix, JHEP 10 (2010) 012 [arXiv:1006.3667] [SPIRES].
19. 5 Semi-Symmetric Space Sine-Gordon Theory, to appear.
20. N.S. Manton, A Remark on the Scattering of BPS Monopoles, Phys. Lett. B 110 (1982) 54 [SPIRES].
21. A.P. Balachandran, S. Kurkcuoglu and S. Vaidya, Lectures on fuzzy and fuzzy SUSY physics, hep-th/0511114 [SPIRES].
22. I. Bakas, Q.-H. Park and H.-J. Shin, Lagrangian Formulation of Symmetric Space sine-Gordon Models, Phys. Lett. B 372 (1996) 45 [hep-th/9512030] [SPIRES].
23. J.L. Miramontes, T-duality in Massive Integrable Field Theories: The Homogeneous and Complex Sine-Gordon Models, Nucl. Phys. B 702 (2004) 419 [hep-th/0408119] [SPIRES].
24. S. Coleman, Aspects of Symmetry (Selected Erice Lectures), Cambridge University Press, Cambridge U.K. (1988).
25. O.A. Castro Alvaredo and J.L. Miramontes, Massive symmetric space sine-Gordon soliton theories and perturbed conformal field theory, Nucl. Phys. B 581 (2000) 643 [hep-th/0002219] [SPIRES].
26. B. Julia and S. Silva, Currents and superpotentials in classical gauge invariant theories. I: Local results with applications to perfect fluids and general relativity, Class. Quant. Grav. 15 (1998) 2173 [gr-qc/9804029] [SPIRES].
27. S. Silva, On superpotentials and charge algebras of gauge theories, Nucl. Phys. B 558 (1999) 391 [hep-th/9809109] [SPIRES].
28. B. Julia and S. Silva, Currents and superpotentials in classical gauge theories. II: Global aspects and the example of affine gravity, Class. Quant. Grav. 17 (2000) 4733 [gr-qc/0005127] [SPIRES].
29. J.P. Harnad, Y. Saint Aubin and S. Shnider, Backlund transformations for nonlinear σ-models with values in Riemannian symmetric spaces, Commun. Math. Phys. 92 (1984) 329 [SPIRES].
30. C.R. Fernandez-Pousa, M.V. Gallas, T.J. Hollowood and J.L. Miramontes, The symmetric space and homogeneous sine-Gordon theories, Nucl. Phys. B 484 (1997) 609 [hep-th/9606032] [SPIRES].
31. C.R. Fernandez-Pousa, M.V. Gallas, T.J. Hollowood and J.L. Miramontes, Solitonic integrable perturbations of parafermionic theories, Nucl. Phys. B 499 (1997) 673 [hep-th/9701109] [SPIRES].
32. J.L. Miramontes and C.R. Fernandez-Pousa, Integrable quantum field theories with unstable particles, Phys. Lett. B 472 (2000) 392 [hep-th/9910218] [SPIRES].
33. O.A. Castro-Alvaredo, A. Fring, C. Korff and J.L. Miramontes, Thermodynamic Bethe ansatz of the homogeneous sine-Gordon models, Nucl. Phys. B 575 (2000) 535 [hep-th/9912196] [SPIRES].
34. P. Dorey and J.L. Miramontes, Mass scales and crossover phenomena in the homogeneous sine-Gordon models, Nucl. Phys. B 697 (2004) 405 [hep-th/0405275] [SPIRES].
35. D.I. Olive, N. Turok and J.W.R. Underwood, Solitons and the energy momentum tensor for affine Toda theory, Nucl. Phys. B 401 (1993) 663 [SPIRES].
36. J.L. Miramontes, Tau-functions generating the conservation laws for generalized integrable hierarchies of KdV and affine-Toda type, Nucl. Phys. B 547 (1999) 623 [hep-th/9809052] [SPIRES].
37. L.A. Ferreira and W.J. Zakrzewski, A Simple Formula for the Conserved Charges of Soliton Theories, JHEP 09 (2007) 015 [arXiv:0707.1603] [SPIRES].
38. M.F. De Groot, T.J. Hollowood and J.L. Miramontes, Generalized Drinfeld-Sokolov hierarchies, Commun. Math. Phys. 145 (1992) 57 [SPIRES].
39. V.E. Zakharov and A.V. Mikhailov, Relativistically Invariant Two-Dimensional Models in Field Theory Integrable by the Inverse Problem Technique (In Russian), Sov. Phys. JETP 47 (1978) 1017
40. [Zh. Eksp. Teor. Fiz. 74 (1978) 1953] [SPIRES].
41. O. Babelon, D. Bernard and M. Talon, Introduction to Classical Integrable Systems, Cambridge University Press, Cambridge U.K. (2003).
42. A. Borel, Kählerian Coset Spaces of Semisimple Lie Groups, Proc. Nat. Acad. Sci. USA 40 (1954) 1147
43. M. Bordemann, M. Forger and H. Romer, Homogeneous Kähler manifolds: paving the way towards new supersymmetric σ-models, Commun. Math. Phys. 102 (1986) 605 [SPIRES].
44. E. Ivanov, L. Mezincescu and P.K. Townsend, Fuzzy CP(n/m) as a quantum superspace, hep-th/0311159 [SPIRES].
45. G. Alexanian, A.P. Balachandran, G. Immirzi and B. Ydri, Fuzzy CP(2), J. Geom. Phys. 42 (2002) 28 [hep-th/0103023] [SPIRES].
46. A. Perelomov, Generalized Coherent States and Their Applications, Springer-Verlag (1986).
47. A.M. Perelomov, Coherent states for arbitrary lie groups, Commun. Math. Phys. 26 (1972) 222 [SPIRES].