On integrable directed polymer models on the square lattice

Thimothée Thiery; Pierre Le Doussal

doi:10.1088/1751-8113/48/46/465001

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arXiv · 1506.05006

On integrable directed polymer models on the square lattice

Thimothée Thiery·Pierre Le Doussal

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Abstract

In a recent work Povolotsky provided a three-parameter family of stochastic particle systems with zero-range interactions in one dimension which are integrable by coordinate Bethe ansatz. Using these results we obtain the corresponding condition for integrability of a class of directed polymer models with random weights on the square lattice. Analyzing the solutions we find, besides known cases, a new two-parameter family of integrable DP model, which we call the Inverse-Beta polymer, and provide its Bethe ansatz solution.

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Thimothée Thiery, Pierre Le Doussal. 2015-06-16. On integrable directed polymer models on the square lattice. https://doi.org/10.1088/1751-8113/48/46/465001

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