|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'503'724
Articles rated: 2609
23 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Chiral Potts Rapidity Curve Descended from Six-vertex Model and Symmetry Group of Rapidities | | Shi-shyr Roan
; | | Date: |
1 Oct 2004 | | Journal: | J.Phys. A38 (2005) 7483-7500 | | Subject: | Statistical Mechanics; Quantum Algebra; Exactly Solvable and Integrable Systems | cond-mat.stat-mech hep-th math.QA nlin.SI | | Abstract: | In this paper, we present a systematical account of the descending procedure from six-vertex model to the $N$-state chiral Potts model through fusion relations of $ au^{(j)}$-operators, following the works of Bazhanov-Stroganov and Baxter-Bazhanov-Perk. A careful analysis of the descending process leads to appearance of the high genus curve as rapidities’ constraint for the chiral Potts models. Full symmetries of the rapidity curve are identified, so is its symmetry group structure. By normalized transfer matrices of the chiral Potts model, the $ au^{(2)}T$ relation can be reduced to functional equations over a hyperelliptic curves associated to rapidities, by which the degeneracy of $ au^{(2)}$-eigenvalues is revealed in the case of superintegrable chiral Potts model. | | Source: | arXiv, cond-mat/0410011 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER