Five-vertex model with fixed boundary conditions

Bogolyubov, N.

doi:10.1090/S1061-0022-10-01100-3

Five-vertex model with fixed boundary conditions
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by N. M. Bogolyubov
Translated by: the author

St. Petersburg Math. J. 21 (2010), 407-421

DOI: https://doi.org/10.1090/S1061-0022-10-01100-3

Published electronically: February 25, 2010

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Abstract:

The exactly solvable five-vertex model on a square lattice with fixed boundary conditions is considered. Application of the algebraic Bethe ansatz makes it possible to express the partition function and the boundary correlation functions of the nonhomogeneous model in the determinantal form. The relationship established between the homogeneous model and plane partitions helps to calculate its partition function.

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