Yangians, integrable quantum systems and Dorey's rule

Communications in Mathematical Physics

Volumn 181, Issue 2, 1996, Pages 265-302

  Chari, Vyjayanthi ^a   Pressley, Andrew ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b KING'S COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000607412     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02101006     Document Type: Article

References (26)

1. Bernard, D.: Hidden Yangians in 2D massive current algebras. Commun. Math. Phys. 137, 191-208 (1991)
2. Bernard, D., LeClair, A.: Quantum group symmetries and non-local currents in 2D QFT. Commun. Math. Phys. 142, 99-138 (1991)
3. Bourbaki, N.: Eléments de Mathématique. Fasc. XXXIV, Groupes et Algebres de Lie, Ch. IV-VI, Paris: Hermann, 1968
4. Braden, H.W.: A note on affine Toda couplings. J. Phys. A 25, L15-L20 (1992)
5. Braden, H.W., Corrigan, E., Dorey, P.E., Sasaki, R.: Affine Toda field theory and exact S-matrices. Nucl. Phys. B338, 689-746 (1990)
6. Chari, V., Pressley, A.N.: Yangians and R-matrices. L'Enseign. Math. 36, 267-302 (1990)
7. Chari, V., Pressley, A.N.: Fundamental representations of Yangians and singularities of R-matrices. J. reine angew. Math. 417, 87-128 (1991)
8. Chari, V., Pressley, A.N.: A Guide to Quantum Groups. Cambridge: Cambridge University Press, 1994
9. Delius, G.W., Grisaru, M.T., Zanon, D.: Exact S-matrices for non-simply-laced affine Toda theories. Nucl. Phys. B382, 365-406 (1992)
10. Dorey, P.E.: Root systems and purely elastic S-matrices. Nucl. Phys. B358, 654-676 (1991)
11. Drinfel'd, V.: Hopf algebras and the quantum Yang-Baxter equation. Soviet Math. Dokl. 32, 254-258 (1985)
12. Drinfel'd, V.: A new realization of Yangians and quantum affine algebras. Soviet Math. Dokl. 36, 212-216 (1988)
13. Faddeev, L.D.: Quantum completely integrable models in field theory. Soviet Scientific Reviews Sect. C 1, Chur, Switzerland: Harwood Academic Publishers, pp. 107-155
14. Freeman, M.J.: On the mass spectrum of affine Toda field theory. Phys. Lett. B261, 57-61 (1991)
15. Kac, V.G.: Infinite dimensional Lie algebras. Boston: Birkhäuser, 1983
16. Kostant, B.: The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group. Am. J. Math. 81, 973-1032 (1959)
17. Kumar, S.: A proof of the Parthasarathy-Ranga Rao-Varadarajan conjecture. Invent. Math. 93, 117-130 (1988)
18. MacKay, N.J.: New factorized S-matrices associated with SO(N). Nucl. Phys. B356, 729-749 (1991)
19. MacKay, N.J.: Aspects of Yangian-invariant factorized S-matrices. In: Quantum groups, integrable statistical models and knot theory. Ge, M.L., de Vega, H. (eds.), Singapore: World Scientific, 1993
20. MacKay, N.J.: On the bootstrap structure of Yangian-invariant factorized S-matrices. Preprint (hep-th/9211091)
21. Mathieu, O.: Construction d'un groupe de Kac-Moody et applications. Compositio Math. 69, 37-60 (1989)
22. Ogievetsky, E., Reshetikhin, N. Yu., Wiegmann, P.: The principal chiral field in two dimensions on classical Lie algebras. Nucl. Phys. B280, 45-96 (1987)
23. Olive, D.I., Turok, N., Underwood, J.W.R.: Affine Toda solitons and vertex operators. Nucl. Phys. B409, 509-546 (1993)
24. Parthasarathy, K.R., Ranga Rao, R., Varadarajan, V.S.: Representations of complex semi-simple Lie groups and Lie algebras. Ann. Math. 85 (2), 383-429 (1967)
25. Springer, T.A.: Regular elements of finite reflection groups. Invent. Math. 25, 159-198 (1974)
26. Steinberg, R.: Finite reflection groups. Trans. Am. Math. Soc. 91, 493-504 (1959)