Algebraic geometry of the three-state chiral potts model

Israel Journal of Mathematics

Volumn 125, Issue , 2001, Pages 253-292

  Davies, Brian ^a   Neeman, Amnon ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035652460     PISSN: 00212172     EISSN: 15658511     Source Type: Journal    
DOI: 10.1007/BF02773383     Document Type: Article

References (13)

1. G. E. Andrews, R. J. Baxter and P. J. Forrester, Eight-vertex SOS model and generalized Rogers-Ramanujan type identities, Journal of Statistical Physics 35 (1984), 193-266.
2. R. J. Baxter, Exactly Solved Models in Statistical Mechanics, Academic Press, New York, 1982.
3. R. J. Baxter, Chiral Potts model: Corner transfer matrices and parametrizations, International Journal of Modern Physics B 7 (1991), 3489-3500.
4. R. J. Baxter, Hyperelliptic function parametrization for the chiral Potts model, Proceedings of the International Congress of Mathematicians, Springer-Verlag, Berlin, 1991, pp. 1305-1317.
5. R. J. Baxter, Elliptic parametrization of the three-state chiral Potts models, in Integrable Quantum Field Theories, Plenum Press, New York, 1993, pp. 27-37.
6. R. J. Baxter, Functional relations for the order parameters of the chiral Potts model, Journal of Statistical Physics 91 (1998), 499-524.
7. R. J. Baxter, Functional relations for the order parameters of the chiral Potts model: low temperature expansions, Physica A 260 (1998), 117-130.
8. R. J. Baxter, Some hyperelliptic function identities that occur in the chiral Potts model, Journal of Physics. A. Mathematics and General 31 (1998), 6807-6818.
9. R. J. Baxter, J. H. H. Perk and H. Au-Yang, New solutions of the star-triangle relations for the chiral Potts model, Physics Letters A 128 (1988), 138-142.
10. B. Davies, On the Riemann surface of the three-state chiral Potts model, Statistical Physics on the Eve of the 21st Century, Series of Advances in Statistical Mechanics, Vol. 14, World Scientific, Singapore, 1999, pp. 316-335.
11. M. Jimbo, T. Miwa and M. Okado, Solvable lattice models related to the vector representation of classical simple Lie algebras, Communications in Mathematical Physics 116 (1988), 507-525.
12. V. B Matveev and A. O. Smirnov, Some comments on the solvable chiral Potts model, Letters in Mathematical Physics 19 (1990), 179-185.
13. L. Onsager, Crystal statistics I. A two-dimensional model with an order-disorder transition, Physical Review 65 (1944), 117-149.