Supersymmetric Vertex Models with Domain Wall Boundary Conditions

Shao-You Zhao; Yao-Zhong Zhang

doi:10.1063/1.2436986

Supersymmetric Vertex Models with Domain Wall Boundary Conditions

High Energy Physics - Theory 2008-11-26 v1 Statistical Mechanics Strongly Correlated Electrons Mathematical Physics math.MP Exactly Solvable and Integrable Systems

Authors: Shao-You Zhao , Yao-Zhong Zhang

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Abstract

By means of the Drinfeld twists, we derive the determinant representations of the partition functions for the $gl(1|1)$ and $gl(2|1)$ supersymmetric vertex models with domain wall boundary conditions. In the homogenous limit, these determinants degenerate to simple functions.

Keywords

supersymmetric vertex models domain wall boundary conditions Drinfeld twists determinant representations partition functions

Cite

@article{arxiv.hep-th/0701042,
  title  = {Supersymmetric Vertex Models with Domain Wall Boundary Conditions},
  author = {Shao-You Zhao and Yao-Zhong Zhang},
  journal= {arXiv preprint arXiv:hep-th/0701042},
  year   = {2008}
}

Comments

19 pages, 4 figures, to be published in J. Math. Phys

Supersymmetric Vertex Models with Domain Wall Boundary Conditions

Abstract

Keywords

Cite

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