New R-matrices from representations of braid-monoid algebras based on superalgebras

Nuclear Physics B

Volumn 732, Issue 3, 2006, Pages 444-462

  Galleas, W ^a   Martins, M J ^a  

^a FEDERAL UNIVERSITY OF SÃO CARLOS   (Brazil)

Author keywords

Integrable lattice models; Yang Baxter equation

Indexed keywords

EID: 28744436287     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2005.10.025     Document Type: Article

References (48)

1. R.J. Baxter Exactly Solved Models in Statistical Mechanics 1982 Academic Press New York
2. A.B. Zamolodchikov Al.B. Zamolodchikov Ann. Phys. 120 1979 253
3. L.D. Faddeev N.Y. Reshetikhin L.A. Takhtajan Algebra Anal. 1 1987 178
4. V.G. Drinfeld J. Soviet. Math. 41 1988 898
5. V.G. Drinfeld in: Proceedings of the International Mathematics vol. 1 1987 American Mathematical Society Providence, RI p 798
6. M. Jimbo Lett. Math. Phys. 10 1985 63
7. M. Jimbo Commun. Math. Phys. 102 1986 247
8. V.V. Bazhanov Phys. Lett. B 159 1985 321
9. V.V. Bazhanov A.G. Shadrikov Theor. Math. Phys. 73 1987 1302
10. R.B. Zhang A.J. Bracken M.D. Gould Phys. Lett. B 257 1991 133
11. M. Chaichian P.P. Kulish Phys. Lett. B 234 1990 72
12. T. Deguchi Y. Akutsu J. Phys. A: Math. Gen. 23 1990 1861
13. P.P. Kulish N.Yu. Reshetikhin Lett. Math. Phys. 18 1989 143
14. H. Saleur Nucl. Phys. B 336 1990 363
15. T. Deguchi A. Fujii K. Ito Phys. Lett. B 238 1990 242
16. M.D. Gould J.R. Links Y.Z. Zhang I. Tsohantjis J. Phys. A: Math. Gen. 30 1997 4313
17. A.J. Bracken G.W. Delius M.D. Gould Y.-Z. Zhang J. Phys. A: Math. Gen. 27 1994 6551
18. Z. Maassarani J. Phys. A: Math. Gen. 28 1995 1305
19. G.W. Delius M.D. Gould J.R. Links Y.Z. Zhang Int. J. Mod. Phys. A 10 1995 3259
20. G.W. Delius M.D. Gould J.R. Links Y.Z. Zhang J. Phys. A: Math. Gen. 28 1995 6203
21. G.W. Delius M.D. Gould Y.Z. Zhang Int. J. Mod. Phys. A 11 1996 3415
22. M.D. Gould Y.Z. Zhang Nucl. Phys. B 566 2000 529
23. P.P. Martin D. Woodcock LMS J. Comput. Math. 6 2003 249
24. A. Doikou P.P. Martin hep-th/0503019
25. W. Galleas M.J. Martins Nucl. Phys. B 699 2004 455
26. K.A. Dancer M.D. Gould J. Links math.QA/0504313
27. J. Birman H. Wenzl Trans. Amer. Math. Soc. 313 1989 249
28. J. Murakami Osaka J. Math. 24 1987 745
29. M. Wadati T. Deguchi Y. Akutsu Phys. Rep. 180 1989 247
30. N. Reshetikhin Lett. Math. Phys. 20 1990 331
31. V.F.R. Jones Commun. Math. Phys. 125 1989 459
32. V.F.R. Jones Int. J. Mod. Phys. B 4 1990 701
33. Y. Cheng M.L. Ge X. Xue Commun. Math. Phys. 136 1991 195
34. M.L. Ge Y.S. Wu K. Xue Int. J. Mod. Phys. A 6 1991 3735
35. V. Grimm J. Phys. A: Math. Gen. 217 1994 5897
36. V. Grimm Lett. Math. Phys. 32 1994 183
37. U. Grimm S.O. Warnar Nucl. Phys. B 435 1995 482
38. E. Artin Ann. Math. 48 1947 101
39. H.V.N. Temperley E.H. Lieb Proc. R. Soc. London Ser. A 322 1971 251
40. M. Couture M.L. Ge H.C. Lee N.C. Schneing J. Phys. A: Math. Gen. 23 1990 4751
41. M. Couture M.L. Ge H.C. Lee J. Phys. A: Math. Gen. 23 1990 4765
42. M. Couture Y. Cheng M.L. Ge K. Xue Int. J. Mod. Phys. A 6 1991 359
43. M.L. Ge K. Xue J. Math. Phys. 32 1991 1301
44. U. Grimm P.A. Pearce J. Phys. A: Math. Gen. 26 1993 7435
45. U. Grimm S.O. Warnaar J. Phys. A 28 1995 7197
46. M.J. Martins Phys. Rev. E 59 1999 7220
47. P.P. Kulish J. Soviet. Math. 35 1986 2648
48. M.J. Martins P.B. Ramos Nucl. Phys. B 500 1997 579