Interaction-round-a-face models with fixed boundary conditions: The ABF fusion hierarchy

Journal of Statistical Physics

Volumn 84, Issue 1-2, 1996, Pages 1-48

  Behrend, Roger E ^a   Pearce, Paul A ^a   O'Brien, David L ^a  

^a UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

Andrews baxter forrester models; Exactly solvable lattice models; Fixed boundary conditions; Reflection equations; Yang baxter equation

Indexed keywords

EID: 0030186928     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02179576     Document Type: Article

References (20)

1. R. J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic Press, London, 1982).
2. E. K. Sklyanin, Boundary conditions for integrable quantum systems, J. Phys. A 21:2375-2389 (1988).
3. J. L. Cardy, Effect of boundary conditions on the operator content of two-dimensional conformally invariant theories, Nucl. Phys. B 275:200-218 (1986).
4. L. Mezincescu and R. I. Nepomechie, Integrable open spin chains with non-symmetric R-matrices, J. Phys. A 24:L17-L23 (1991).
5. L. Mezincescu and R. I. Nepomechie, Addendum: Integrability of open spin chains with quantum algebra symmetry, Int. J. Mod. Phys. A 7:5657-5659 (1992).
6. n Belavin model with non-trivial boundary terms, J. Phys. A 26:2989-2994 (1993).
7. S. Ghoshal and A. Zamolodchikov, Boundary S matrix and boundary states in two-dimensional integrable quantum field theory, Int. J. Mod. Phys. A 9:3841-3885 (1994).
8. F. W. Wu, Ising model with four-spin interactions, Phys. Rev. B 4:2312-2314 (1971).
9. L. P. Kadanoff and F. J. Wegner, Some critical properties of the eight-vertex model, Phys. Rev. B 4:3989-3993 (1971).
10. R. J. Baxter, Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. II. Equivalence to a generalised ice-type lattice model, Ann. Phys. 76:25-47 (1973).
11. H. van Beijeren, Exactly solvable model for the roughening transition of a crystal surface, Phys. Rev. Lett. 38:993-996 (1977).
12. P. P. Kulish, Yang Baxter equation and reflection equations in integrable models, Preprint [hep-th/9507070].
13. G. E. Andrews, R. J. Baxter, and P. J. Forrester, Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities, J. Stat. Phys. 35:193-266 (1984).
14. L. Mezincescu and R. I. Nepomechie, Fusion procedure for open chains, J. Phys. A 25:2533-2543 (1992).
15. E. Date, M. Jimbo, T. Miwa, and M. Okado, Lett. Math. Phys. 12:209-215 (1986).
16. E. Date, M. Jimbo, T. Miwa, and M. Okado, Erratum and Addendum: Fusion of the eight vertex SOS model, Lett. Math. Phys. 14:97 (1987).
17. E. Date, M. Jimbo, A. Kuniba, T. Miwa, and M. Okado, Exactly solvable SOS models II: Proof of the star triangle relation and combinatorial identities, Adv. Stud. Pure Math. 16:17-122 (1988).
18. Y. K. Zhou and P. A. Pearce, Fusion of A-D-E lattice models, Int. J. Mod. Phys. B 8:3531-3577 (1994).
19. V. V. Bazhanov and N. Y. Reshetikhin, Critical RSOS models and conformal field theory, Int. J. Mod. Phys. A 4:115-142 (1989).
20. A. Klümper and P. A. Pearce, Conformal weights of RSOS lattice models and their fusion hierarchies, Physica A 183:304-350 (1992).