A new representation for the partition function of the six vertex model with domain wall boundaries

Abstract

We obtain a new representation for the partition function of the six vertex model with domain wall boundaries using a functional equation recently derived by the author. This new representation is given in terms of a sum over the permutation group where the partial homogeneous limit can be taken trivially. We also show by construction that this partition function satisfies a linear partial differential equation.

14 pages, v2: added references, accepted for publication in J. Stat. Mech

References in corpus (6)

• Emptiness formation probability in the domain-wall six-vertex model
• Functional relations for the six vertex model with domain wall boundary conditions
• Domain wall partition functions and KP
• Izergin-Korepin determinant reloaded
• The role of orthogonal polynomials in the six-vertex model and its combinatorial applications
• Gaudin functions, and Euler-Poincaré characteristics

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