Switch Operators for the Six-Vertex Model

Evelyn Choi; Jadon Geathers; Slava Naprienko

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Switch Operators for the Six-Vertex Model

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arxiv 2302.08089 v3 pith:3BQJBKQ4 submitted 2023-02-16 math.CO

Evelyn Choi , Jadon Geathers , Slava Naprienko This is my paper · ORCID

classification math.CO

keywords modelsix-vertexboundaryconditionsfunctionsoperatorpartitionswitch

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In this paper, we introduce and analyze a new switch operator for the six-vertex model. This operator, derived from the Yang-Baxter equation, allows us to express the partition function with arbitrary boundaries in terms of a base case with domain wall boundary conditions. As an application, we derive explicit formulas for the factorial Schur functions and their generalizations. Our results provide new insights into the relationship between boundary conditions and partition functions in the six-vertex model.

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