Elliptic solid-on-solid model's partition function as a single determinant

Abstract

In this work we express the partition function of the integrable elliptic solid-on-solid model with domain-wall boundary conditions as a single determinant. This representation appears naturally as the solution of a system of functional equations governing the model's partition function.

6 pages; v2: minor stylistic changes; v3: typo in eq. 11 fixed, accepted as Rapid Communication in PRE

References in corpus (2)

• Special polynomials related to the supersymmetric eight-vertex model: A summary
• New differential equations in the six-vertex model

Cited by in corpus (11)

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• Elliptic pfaffians and solvable lattice models
• The Functional Method for the Domain-Wall Partition Function
• Six-vertex model and non-linear differential equations I. Spectral problem
• On the elliptic ${\mathfrak{gl}}_2$ solid-on-solid model: functional relations and determinants
• Continuous representations of scalar products of Bethe vectors
• New determinants in the 8VSOS model with domain-wall boundaries
• A class of partition functions associated with $E_{\tau ,\eta }(g{l}_3)$ by Izergin-Korepin analysis
• Functional relations in nineteen-vertex models with domain-wall boundaries
• Domain-wall boundaries through non-diagonal twists in the six-vertex model
• Elliptic free-fermion model with OS boundary and elliptic Pfaffians