Factorized domain wall partition functions in trigonometric vertex models
نویسندگان
چکیده
منابع مشابه
Factorized Domain Wall Partition Functions in Trigonometric Vertex Models
We obtain factorized domain wall partition functions for two sets of trigonometric vertex models: 1. The N-state Deguchi-Akutsu models, for N ∈ {2, 3, 4} (and conjecture the result for all N ≥ 5), and 2. The sl(r+1|s+1) Perk-Schultz models, for {r, s ∈ N}, where (given the symmetries of these models) the result is independent of {r, s}. 0. Introduction Domain wall partition functions (DWPF’s) w...
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0.1. Factorization in trigonometric vertex models. In [1], we obtained factorized domain wall partition functions (DWPF’s) in two series of trigonometric vertex models: 1. The N -state Deguchi-Akutsu models, for N ∈ {2, 3, 4} (and conjectured the result for N ≥ 5), and 2. The gl(r+1|s+1) Perk-Schultz models, {r, s} ∈ N (where given the symmetries of these models, the result is independent of r ...
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In [1], Korepin introduced domain wall (DW) boundary conditions in the context of the six vertex, spin-1/2 or level-1 A (1) 1 model on a finite lattice, and obtained recursion relations that determine the partition function in that case. In [2], Izergin solved Korepin’s recursion relations and obtained a determinant expression for the level-1 A (1) 1 DW partition function. In [3], determinant e...
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Let G denote the collection of all undirected graphs, two of them being the same if they are isomorphic. In this paper, all graphs are finite and may have loops and multiple edges. Let k ∈ N and let F be a commutative ring. Following de la Harpe and Jones [4], call any function y : N → F a (k-color) vertex model (over F).6 The partition function of y is the function fy : G → F defined for any g...
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ژورنال
عنوان ژورنال: Journal of Statistical Mechanics: Theory and Experiment
سال: 2007
ISSN: 1742-5468
DOI: 10.1088/1742-5468/2007/10/p10016