Bethe vectors of the osp(1|2) Gaudin model

Letters in Mathematical Physics

Volumn 55, Issue 1, 2001, Pages 77-95

  Kulish, P P ^a,b   Manojlovic, N ^a  

^a UNIVERSITY OF ALGARVE   (Portugal)

^b STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

Author keywords

Algebraic Bethe Ansatz; Gaudin model

Indexed keywords

EID: 0002588987     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1010950003268     Document Type: Article

References (21)

1. Faddeev, L. D.: How algebraic Bethe Ansatz works for integrable models, In: A. Connes, K. Gawedzki and J. Zinn-Justin (eds), Quantum Symmetries/Symetries quantiques, Proc. Les Houches summer school, Session LXIV, Les Mouches, France, 1 August-8 September 1995, North-Holland, Amsterdam, 1998, pp. 149-219.
2. Kulish, P. P. and Sklyanin, E. K.: Quantum spectral transform method. Recent developments, In: J. Hietarinta and C. Montonen (eds). Lecture Notes in Phys. 151. Springer, New York, 1992, pp. 61-119.
3. Gaudin, M.: La fonction d'onde de Bethe, Masson, Paris, 1983, Ch. 13.
4. Sklyanin, E. K.: Zap. Nauch. Semin. LOMI 164 (1987), 151-164 (in Russian); J. Soviet Math. 47 (1989), 2473-2499 (English transl.).
5. Sklyanin, E. K.: Zap. Nauch. Semin. LOMI 164 (1987), 151-164 (in Russian); J. Soviet Math. 47 (1989), 2473-2499 (English transl.).
6. Sklyanin, E. K.: Lett. Math. Phys. 47 (1999), 275-292.
7. Babujian, H. M. and Flume, R.: Modern Phys. Lett. A 9 (1994), 2029-2039.
8. Feigin, B., Frenkel, E. and Reshetikhin, N. Yu.: Comm. Math. Phys. 166 (1994), 27-62.
9. Reshetikhin, N. Yu and Varchenko, A.: In: S.-T. Yau (ed.). Geometry, Topology and Physics for Raoul Bott, Lecture Notes Geom. Topol. 4 (1995) 293-322.
10. Kulish, P. P.: Lett. Math. Phys. 10 (1985), 87-93.
11. Brzezinski, T. and Macfarlane, A J.: J. Math. Phys. 35 (1994), 3261-3272.
12. Takhtajan, L. A. and Faddeev, L. D.: Zap. Nauch. Semin. LOMI 109 (1981), 134 (in Russian); J. Soviet Math. 24 (1984) 241 (English transl.).
13. Takhtajan, L. A. and Faddeev, L. D.: Zap. Nauch. Semin. LOMI 109 (1981), 134 (in Russian); J. Soviet Math. 24 (1984) 241 (English transl.).
14. Martins, M. J.: Nuclear Phys. B 450 (1995), 768-788.
15. Tarasov, V. O. and Varchenko, A.: Mathematics at St. Petersburg. Amer. Math. Soc. Transl. Ser. 2 174, Amer. Math. Soc., Providence, 1996, pp. 235-273.
16. Reshetikhin, N. Yu.: Lett. Math. Phys. 26 (1992), 167-172.
17. Tarasov, V. O.: Theor. Math. Phys. 76 (1988), 793-803.
18. Scheunert, M., Nahm, W. and Rittenberg, V.: J. Math. Phys. 183 (1977), 155-162.
19. Kulish, P. P. and Reshetikhin, N. Yu.: Lett. Math. Phys. 18 (1989), 143-149.
20. Knizhnik, V. G. and Zamolodchikov, A. B.: Nuclear Phys. B 247 (1984), 83-103.
21. Lima-Santos, A. and Utiel, W.: Off-shell Bethe Ansatz equation for osp(1|2) Gaudin magnets, (nlin-SI/0008002).