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arxiv: hep-th/0701042 · v1 · submitted 2007-01-05 · ✦ hep-th · cond-mat.stat-mech· cond-mat.str-el· math-ph· math.MP· nlin.SI

Supersymmetric Vertex Models with Domain Wall Boundary Conditions

classification ✦ hep-th cond-mat.stat-mechcond-mat.str-elmath-phmath.MPnlin.SI
keywords boundaryconditionsdomainfunctionsmodelssupersymmetricvertexwall
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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.

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