Quantum group symmetry of integrable systems with or without boundary

International Journal of Modern Physics A

Volumn 17, Issue 25, 2002, Pages 3649-3661

  Ragoucy, E ^a  

^a LABORATOIRE DE PHYSIQUE DES PARTICULES   (France)

Author keywords

Integrable systems; Quantum groups; Systems with boundaries

Indexed keywords

ARTICLE; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; MOTION; QUANTUM MECHANICS;

EID: 0037057333     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X02010819     Document Type: Article

References (30)

1. A. B. Zamolodchikov and A. B. Zamolodchikov, Ann. Phys. 120, 253 (1979); L. D. Faddeev, Sov. Sci. Rev. C1, 107 (1980).
2. A. B. Zamolodchikov and A. B. Zamolodchikov, Ann. Phys. 120, 253 (1979); L. D. Faddeev, Sov. Sci. Rev. C1, 107 (1980).
3. E. Sklyanin and L. D. Faddeev, Sov. Phys. Dokl. 23, 902 (1978); E. Sklyanin, Sov. Phys. Dokl. 24, 107 (1979); H. B. Tacker and D. Wilkinson, Phys. Rev. D19, 3660 (1979); D. B. Creamer, H. B. Tacker and D. Wilkinson, Phys. Rev. D21, 1523 (1980); J. Honerkamp, P. Weber and A. Wiesler, Nucl. Phys. B152, 266 (1979); B. Davies, J. Phys. A14, 2631 (1981).
4. E. Sklyanin and L. D. Faddeev, Sov. Phys. Dokl. 23, 902 (1978); E. Sklyanin, Sov. Phys. Dokl. 24, 107 (1979); H. B. Tacker and D. Wilkinson, Phys. Rev. D19, 3660 (1979); D. B. Creamer, H. B. Tacker and D. Wilkinson, Phys. Rev. D21, 1523 (1980); J. Honerkamp, P. Weber and A. Wiesler, Nucl. Phys. B152, 266 (1979); B. Davies, J. Phys. A14, 2631 (1981).
5. E. Sklyanin and L. D. Faddeev, Sov. Phys. Dokl. 23, 902 (1978); E. Sklyanin, Sov. Phys. Dokl. 24, 107 (1979); H. B. Tacker and D. Wilkinson, Phys. Rev. D19, 3660 (1979); D. B. Creamer, H. B. Tacker and D. Wilkinson, Phys. Rev. D21, 1523 (1980); J. Honerkamp, P. Weber and A. Wiesler, Nucl. Phys. B152, 266 (1979); B. Davies, J. Phys. A14, 2631 (1981).
6. E. Sklyanin and L. D. Faddeev, Sov. Phys. Dokl. 23, 902 (1978); E. Sklyanin, Sov. Phys. Dokl. 24, 107 (1979); H. B. Tacker and D. Wilkinson, Phys. Rev. D19, 3660 (1979); D. B. Creamer, H. B. Tacker and D. Wilkinson, Phys. Rev. D21, 1523 (1980); J. Honerkamp, P. Weber and A. Wiesler, Nucl. Phys. B152, 266 (1979); B. Davies, J. Phys. A14, 2631 (1981).
7. E. Sklyanin and L. D. Faddeev, Sov. Phys. Dokl. 23, 902 (1978); E. Sklyanin, Sov. Phys. Dokl. 24, 107 (1979); H. B. Tacker and D. Wilkinson, Phys. Rev. D19, 3660 (1979); D. B. Creamer, H. B. Tacker and D. Wilkinson, Phys. Rev. D21, 1523 (1980); J. Honerkamp, P. Weber and A. Wiesler, Nucl. Phys. B152, 266 (1979); B. Davies, J. Phys. A14, 2631 (1981).
8. E. Sklyanin and L. D. Faddeev, Sov. Phys. Dokl. 23, 902 (1978); E. Sklyanin, Sov. Phys. Dokl. 24, 107 (1979); H. B. Tacker and D. Wilkinson, Phys. Rev. D19, 3660 (1979); D. B. Creamer, H. B. Tacker and D. Wilkinson, Phys. Rev. D21, 1523 (1980); J. Honerkamp, P. Weber and A. Wiesler, Nucl. Phys. B152, 266 (1979); B. Davies, J. Phys. A14, 2631 (1981).
9. M. Mintchev, E. Ragoucy, P. Sorba and Ph. Zaugg, J. Phys. A32, 5885 (1999).
10. V. I. Cherednik, Theor. Math. Phys. 61, 977 (1984).
11. E. K. Sklyanin, J. Phys. A: Math. Gen. 21, 2375 (1988).
12. A. Liguori and M. Mintchev, Nucl. Phys. B522, 345 (1998); M. Gattobigio, A. Liguori and M. Mintchev, Phys. Lett. B428, 143 (1998); M. Gattobigio, A. Liguori and M. Mintchev, J. Math. Phys. 40, 2949 (1999).
13. A. Liguori and M. Mintchev, Nucl. Phys. B522, 345 (1998); M. Gattobigio, A. Liguori and M. Mintchev, Phys. Lett. B428, 143 (1998); M. Gattobigio, A. Liguori and M. Mintchev, J. Math. Phys. 40, 2949 (1999).
14. A. Liguori and M. Mintchev, Nucl. Phys. B522, 345 (1998); M. Gattobigio, A. Liguori and M. Mintchev, Phys. Lett. B428, 143 (1998); M. Gattobigio, A. Liguori and M. Mintchev, J. Math. Phys. 40, 2949 (1999).
15. A. Liguori, M. Mintchev and L. Zhao, Commun. Math. Phys. 194, 569 (1998).
16. M. Mintchev, E. Ragoucy and P. Sorba, J. Phys. A34, 8345 (2001).
17. E. Ragoucy, "Vertex Operators for Quantum Groups and Application to Integrable Systems," preprint LAPTH-859/01, math.QA/0108207.
18. E. Ragoucy, Lett. Math. Phys. 58, 249 (2001).
19. M. Jimbo, Commun. Math. Phys. 102, 537 (1986).
20. D. Arnaudon, E. Buffenoir, E. Ragoucy and Ph. Roche, Lett. Math. Phys. 44, 201 (1998).
21. D. Arnaudon, J. Avan, L. Frappat, E. Ragoucy and M. Rossi, Lett. Math. Phys. 51, 193 (2000); D. Arnaudon, J. Avan, L. Frappat and E. Ragoucy, Commun. Math. Phys. 226, 183 (2002).
22. D. Arnaudon, J. Avan, L. Frappat, E. Ragoucy and M. Rossi, Lett. Math. Phys. 51, 193 (2000); D. Arnaudon, J. Avan, L. Frappat and E. Ragoucy, Commun. Math. Phys. 226, 183 (2002).
23. L. Freidel and J. M. Maillet, Phys. Lett. B262, 278 (1991).
24. A. Molev and E. Ragoucy, Rev. Math. Phys. 14, 317 (2002).
25. S. Ghoshal and A. B. Zamolodchikov, Int. J. Mod. Phys. A9, 3841 (1994).
26. P. Bowcock, E. Corrigan, P. E. Dorey and R. H. Rietdijk, Nucl. Phys. B445, 469 (1995); E. Corrigan, Int. J. Mod. Phys. A13, 2709 (1998); E. Corrigan, "Boundary bound states in integrable quantum field theory," Proc. Non-Perturbative Quantum Effects 2000, hep-th/0010094.
27. P. Bowcock, E. Corrigan, P. E. Dorey and R. H. Rietdijk, Nucl. Phys. B445, 469 (1995); E. Corrigan, Int. J. Mod. Phys. A13, 2709 (1998); E. Corrigan, "Boundary bound states in integrable quantum field theory," Proc. Non-Perturbative Quantum Effects 2000, hep-th/0010094.
28. P. Bowcock, E. Corrigan, P. E. Dorey and R. H. Rietdijk, Nucl. Phys. B445, 469 (1995); E. Corrigan, Int. J. Mod. Phys. A13, 2709 (1998); E. Corrigan, "Boundary bound states in integrable quantum field theory," Proc. Non-Perturbative Quantum Effects 2000, hep-th/0010094.
29. G. W. Delius and N. J. MacKay, "Quantum Group Symmetry in Sine-Gordon and Affine Toda Field Theories on the Half-Line," hep-th/0112023; G. W. Delius, N. J. MacKay and B. J. Short, Phys. Lett. B522, 335 (2001); erratum, ibid. B524, 401 (2002).
30. G. W. Delius and N. J. MacKay, "Quantum Group Symmetry in Sine-Gordon and Affine Toda Field Theories on the Half-Line," hep-th/0112023; G. W. Delius, N. J. MacKay and B. J. Short, Phys. Lett. B522, 335 (2001); erratum, ibid. B524, 401 (2002).