Supersymmetric vertex models with domain wall boundary conditions

2007/01/05 by Shao-You Zhao, Yao-Zhong Zhang · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Boundary value problem #Degenerate energy levels #Domain (mathematical analysis) #Homogeneous #Random Matrices and Applications #Supersymmetry #Vertex (graph theory) #Vertex model #cond-mat.stat-mech #cond-mat.str-el #hep-th #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.1063/1.2436986

published as J.Math.Phys.48:023504,2007 · 19 pages, 4 figures, to be published in J. Math. Phys

arxiv created 2007/01/05 · openalex publication_date 2007/02/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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 homogeneous limit, these determinants degenerate to simple functions.

Citations

• Determinant Representations of Correlation Functions for the Supersymmetric t-J Model

Cited by

• Partition function of the eight-vertex model with domain wall boundary condition

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