Complex of three-dimensional solvable models

Journal of Physics A: Mathematical and General

Volumn 34, Issue 48, 2001, Pages 10493-10503

  Sergeev, S ^a  

^a JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035824421     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/48/314     Document Type: Article

References (25)

1. Bazhanov V V and Baxter R J 1992 New solvable lattice models in three dimensions J. Stat. Phys. 69 453-85
2. Bazhanov V V and Baxter R J 1992 Star-triangle relation for a three-dimensional model J. Stat. Phys. 71 839
3. Bazhanov V V and Reshetikhin N Yu 1995 Remarks on the quantum dilogarithm J. Phys. A: Math. Gen. 28
4. Faddeev L 1995 Discrete Heisenberg-Weyl group and modular group Lett. Math. Phys. 34 249-54
5. Faddeev L 1999 Modular double of quantum group Preprint math.QA/9912078
6. Hirota R 1981 Discrete analogue of a generalized Toda equation J. Phys. Soc. Japan 50 3785-91
7. Korepanov I G, Kashaev R M and Sergeev S M 1998 Functional tetrahedron equation Theor. Math. Phys. 117 370-84
8. Kashaev R M 1996 On discrete three-dimensional equations associated with the local Yang-Baxter relation Lett. Math. Phys. 35 389-97
9. Korepanov I G 1995 Algebraic integrable dynamical systems, 2 + 1-dimensional models in wholly discrete space-time, and inhomogeneous models in 2-dimensional statistical physics Preprint solv-int/9506003
10. Korepanov I G and Sergeev S M 1999 Eigenvector and eigenvalue problem for 3d bosonic model Acta Appl. Math.
11. Kashaev R, Faddeev L and Volkov A 2000 Strongly coupled quantum discrete Liouville theory. I: algebraic approach and duality Preprint hep-th/0006156
12. Maillet J-M and Nijhoff F W 1989 Integrability for multidimensional lattice models Phys. Lett. B 224 389-96
13. Pronko G and Sergeev S 2000 Relativistic Toda chain Preprint nlin.SI/0009027
14. Mangazeev V, Sergeev S and Stroganov Yu 1996 The vertex formulation of the Bazhanov-Baxter model J. Stat. Phys. 82 31-50
15. Sergeev S 1997 On a two-dimensional system associated with the complex of the solutions of the tetrahedron equation Preprint solv-int/9709013
16. Sergeev S 1998 Solutions of the functional tetrahedron equation connected with the local Yang-Baxter equation for the ferro-electric Lett. Math. Phys. 45 113-9
17. Sergeev S 1998 3d symplectic map Phys. Lett. A 253 145-50
18. Sergeev S 1999 Quantum 2 + 1 evolution model J. Phys. A: Math. Gen. 32 5639-714
19. Sergeev S 2000 Auxiliary transfer matrices for three-dimensional integrable models Theor. Math. Phys. 124 1187-201
20. Sergeev S 2000 On exact solution of a classical 3d integrable model J. Nonlinear Math. Phys. 7 57-72
21. Sergeev S 2000 Solitons in a 3d integrable model Phys. Lett. A 265 364-8
22. Sergeev S 2000 Some properties of local linear problem's matrices Notes PDMI 269 292-307
23. Pakuliak S and Sergeev S 2001 Relativistic Toda chain at root of unity Preprint nlin.SI/0101024
24. Sklyanin E K 2000 Bäcklund transformations and Baxter's Q-operator Preprint nlin.SI/0009009
25. Bazhanov V and Reshetikhin N 1995 Private communication