Integrability vs supersymmetry: Poisson structures of the pohlmeyer reduction

Journal of High Energy Physics

Volumn 2011, Issue 11, 2011, Pages

  Schmidtt, David M ^a  

^a SÃO PAULO STATE UNIVERSITY UNESP   (Brazil)

Author keywords

Extended Supersymmetry; Integrable Field Theories; Integrable Hierarchies; Sigma Models

Indexed keywords

EID: 81255197182     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP11(2011)067     Document Type: Article

References (30)

1. M. Grigoriev and A.A. Tseytlin, Pohlmeyer reduction of AdS5 × S5 superstring δ-model, Nucl. Phys. B 800 (2008) 450 [arXiv:0711.0155]
2. M. Grigoriev and A.A. Tseytlin, On reduced models for superstrings on AdSn × Sn, Int. J. Mod. Phys. A 23 (2008) 2107 [arXiv:0806.2623]
3. 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]
4. Y. Iwashita, One-loop corrections to AdS5 × S5 superstring partition function via Pohlmeyer reduction, J. Phys. A 43 (2010) 345403 [arXiv:1005.4386]
5. B. Hoare, Y. Iwashita and A.A. Tseytlin, Pohlmeyer-reduced form of string theory in AdS5 × S5: Semiclassical expansion, J. Phys. A A42 (2009) 375204 [arXiv:0906.3800]
6. 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]
7. B. Hoare and A. Tseytlin, On the perturbative S-matrix of generalized sine-Gordon models, JHEP 11 (2010) 111 [arXiv:1008.4914]
8. B. Hoare and A. Tseytlin, Towards the quantum S-matrix of the Pohlmeyer reduced version of AdS5 × S5 superstring theory, Nucl. Phys. B 851 (2011) 161 [arXiv:1104.2423]
9. J. Miramontes, Pohlmeyer reduction revisited, JHEP 10 (2008) 087 [arXiv:0808.3365]
10. T.J. Hollowood and J. Miramontes, Magnons, their Solitonic Avatars and the Pohlmeyer Reduction, JHEP 04 (2009) 060 [arXiv:0902.2405]
11. T.J. Hollowood and J. Miramontes, A New and Elementary CPn Dyonic Magnon, JHEP 08 (2009) 109 [arXiv:0905.2534]
12. T.J. Hollowood and J. Miramontes, The Relativistic Avatars of Giant Magnons and their S-matrix, JHEP 10 (2010) 012 [arXiv:1006.3667]
13. T.J. Hollowood and J. Miramontes, Classical and Quantum Solitons in the Symmetric Space sine-Gordon Theories, JHEP 04 (2011) 119 [arXiv:1012.0716]
14. T.J. Hollowood and J. Miramontes, The Semi-Classical Spectrum of Solitons and Giant Magnons, JHEP 05 (2011) 062 [arXiv:1103.3148]
15. D.M. Schmidtt, Supersymmetry Flows, Semi-Symmetric Space sine-Gordon Models And The Pohlmeyer Reduction, JHEP 03 (2011) 021 [arXiv:1012.4713]
16. T.J. Hollowood and J. Miramontes, The AdS5 × S5 Semi-Symmetric Space sine-Gordon Theory, JHEP 05 (2011) 136 [arXiv:1104.2429]
17. B. Hoare, T.J. Hollowood and J. Miramontes, A Relativistic Relative of the Magnon S-matrix, arXiv:1107.0628
18. H. Aratyn, J. Gomes and A. Zimerman, Supersymmetry and the KDV equations for integrable hierarchies with a half integer gradation, Nucl. Phys. B 676 (2004) 537 [hep-th/0309099]
19. J. Gomes, D. Schmidtt and A. Zimerman, Super WZNW with Reductions to Supersymmetric and Fermionic Integrable Models, Nucl. Phys. B 821 (2009) 553 [arXiv:0901.4040]
20. D.M. Schmidtt, Supersymmetry of Affine Toda Models as Fermionic Symmetry Flows of the Extended mKdV Hierarchy, SIGMA 6 (2010) 043 [arXiv:0909.3109]
21. M.F. De Groot, T.J. Hollowood and J. Miramontes, Generalized Drinfeld-Sokolov hierarchies, Commun. Math. Phys. 145 (1992) 57
22. N.J. Burroughs, M.F. de Groot, T.J. Hollowood and J. Miramontes, Generalized Drinfeld-Sokolov hierarchies 2: The Hamiltonian structures, Commun. Math. Phys. 153 (1993) 187 [hep-th/9109014]
23. A. Mikhailov, Bihamiltonian structure of the classical superstring in AdS5 × S5, hep-th/0609108
24. B. Vicedo, The classical R-matrix of AdS/CFT and its Lie dialgebra structure, Lett. Math. Phys. 95 (2011) 249 [arXiv:1003.1192]
25. I. Bena, J. Polchinski and R. Roiban, Hidden symmetries of the AdS5 × S5 superstring, Phys. Rev. D 69 (2004) 046002 [hep-th/0305116]
26. M. Goykhman and E. Ivanov, Worldsheet Supersymmetry of Pohlmeyer-Reduced AdSnxSn Superstrings, JHEP 09 (2011) 078 [arXiv:1104.0706]
27. A. Mikhailov and S. Schäfer-Nameki, sine-Gordon-like action for the Superstring in AdS5 × S5, JHEP 05 (2008) 075 [arXiv:0711.0195]
28. E. Witten and D.I. Olive, Supersymmetry Algebras That Include Topological Charges, Phys. Lett. B 78 (1978) 97
29. E. Napolitano and S. Sciuto, The N = 2 supersymmetric generalization of the complex sine-Gordon model, Phys. Lett. B 113 (1982) 43
30. K. Zarembo, Strings on Semisymmetric Superspaces, JHEP 05 (2010) 002 [arXiv:1003.0465]