Elliptic K-matrix associated with Belavin's symmetric R-matrix

Nuclear Physics B

Volumn 494, Issue 3, 1997, Pages 687-701

  Komori, Yasushi ^a   Hikami, Kazuhiro ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

Belavin's symmetric R matrix; Boundary K matrix; Reflection equation; Yang Baxter equation

Indexed keywords

EID: 0031575041     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(97)00177-6     Document Type: Article

References (22)

1. [1] I. Cherednik, Theor. Math. Phys. 61 (1984) 35.
2. [2] E.K. Sklyanin, J. Phys. A 21 (1988) 2375.
3. [3] P.P. Kulish, in Low-Dimensional Models in Statistical Physics and Quantum Field Theory, ed. H. Grosse and L. Pittner, Lecture Notes in Physics 469 (1996).
4. [4] G. Felder and V. Pasquier, Lett. Math. Phys. 32 (1994) 167.
5. [5] A.A. Belavin, Nucl. Phys. B 180 (1981) 189.
6. [6] M.P. Richey and C.A. Tracy, J. Stat. Phys. 42 (1985) 311; D.V. Chudnovsky and G.V. Chudnovsky, Phys. Lett. A 81 (1981) 105; I.V. Cherednik, Sov. J. Nucl. Phys. 36 (1982) 320; A. Bovier, J. Math. Phys. 24 (1983) 831; C.A. Tracy, Physica D 16 (1985) 203.
7. [6] M.P. Richey and C.A. Tracy, J. Stat. Phys. 42 (1985) 311; D.V. Chudnovsky and G.V. Chudnovsky, Phys. Lett. A 81 (1981) 105; I.V. Cherednik, Sov. J. Nucl. Phys. 36 (1982) 320; A. Bovier, J. Math. Phys. 24 (1983) 831; C.A. Tracy, Physica D 16 (1985) 203.
8. [6] M.P. Richey and C.A. Tracy, J. Stat. Phys. 42 (1985) 311; D.V. Chudnovsky and G.V. Chudnovsky, Phys. Lett. A 81 (1981) 105; I.V. Cherednik, Sov. J. Nucl. Phys. 36 (1982) 320; A. Bovier, J. Math. Phys. 24 (1983) 831; C.A. Tracy, Physica D 16 (1985) 203.
9. [6] M.P. Richey and C.A. Tracy, J. Stat. Phys. 42 (1985) 311; D.V. Chudnovsky and G.V. Chudnovsky, Phys. Lett. A 81 (1981) 105; I.V. Cherednik, Sov. J. Nucl. Phys. 36 (1982) 320; A. Bovier, J. Math. Phys. 24 (1983) 831; C.A. Tracy, Physica D 16 (1985) 203.
10. [6] M.P. Richey and C.A. Tracy, J. Stat. Phys. 42 (1985) 311; D.V. Chudnovsky and G.V. Chudnovsky, Phys. Lett. A 81 (1981) 105; I.V. Cherednik, Sov. J. Nucl. Phys. 36 (1982) 320; A. Bovier, J. Math. Phys. 24 (1983) 831; C.A. Tracy, Physica D 16 (1985) 203.
11. [7] M. Gaudin, J. Phys. (Paris) 49 (1988) 1857.
12. [8] Y. Shibukawa and K. Ueno, Lett. Math. Phys. 25 (1992) 239.
13. [9] K. Hikami, Phys. Lett. A 205 (1995) 167.
14. [10] K. Hikami and Y. Komori, Mod. Phys. Lett. A 11 (1996) 2861.
15. [11] K. Hikami, J. Phys. A 29 (1996) 2135, L281; J. Phys. Soc. Jpn. 65 (1996) 394; Y. Komori and K. Hikami, Int. J. Mod. Phys. A, to be published.
16. [11] K. Hikami, J. Phys. A 29 (1996) 2135, L281; J. Phys. Soc. Jpn. 65 (1996) 394; Y. Komori and K. Hikami, Int. J. Mod. Phys. A, to be published.
17. [11] K. Hikami, J. Phys. A 29 (1996) 2135, L281; J. Phys. Soc. Jpn. 65 (1996) 394; Y. Komori and K. Hikami, Int. J. Mod. Phys. A, to be published.
18. [12] T. Inami and H. Konno, J. Phys. A 27 (1994) L913.
19. [13] H.J. de Vega and A. González-Ruiz, J. Phys. A 27 (1994) 6129; H. Fan, B.-Y. Hou, K.-J. Shi and Z.-X. Yang, Phys. Lett. A 200 (1995) 109.
20. [13] H.J. de Vega and A. González-Ruiz, J. Phys. A 27 (1994) 6129; H. Fan, B.-Y. Hou, K.-J. Shi and Z.-X. Yang, Phys. Lett. A 200 (1995) 109.
21. [14] E.T. Whittaker and G.N. Watson, A Course of Modem Analysis, 4th Ed. (Cambridge University Press, Cambridge, 1927).
22. [15] A. Hurwitz and R. Courant, Vorlesungen über Allgemeine Funktionentheorie und Elliptische Funktionen (Springer, Berlin, 1964).