Supersymmetric Vertex Models with Domain Wall Boundary Conditions

Shao-You Zhao; Yao-Zhong Zhang

doi:10.1063/1.2436986

paper

Supersymmetric Vertex Models with Domain Wall Boundary Conditions

arXiv:hep-th/0701042 · doi:10.1063/1.2436986

Abstract

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

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