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Integrable lattice spin models from supersymmetric dualities

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arxiv 1712.09651 v1 pith:AWI5DML2 submitted 2017-12-27 math-ph cond-mat.stat-mechhep-thmath.MPnlin.SI

classification math-phcond-mat.stat-mechhep-thmath.MPnlin.SI
keywords latticeintegrablemodelsgaugepartitionsupersymmetricbeencorrespondence
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Recently, there has been observed an interesting correspondence between supersymmetric quiver gauge theories with four supercharges and integrable lattice models of statistical mechanics such that the two-dimensional spin lattice is the quiver diagram, the partition function of the lattice model is the partition function of the gauge theory and the Yang-Baxter equation expresses the identity of partition functions for dual pairs. This correspondence is a powerful tool which enables us to generate new integrable models. The aim of the present paper is to give a short account on a progress in integrable lattice models which has been made due to the relationship with supersymmetric gauge theories.

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  1. Flipping relation as a reduced star-star relation

    hep-th 2025-08 conditional novelty 5.0 of 10

    A specific limit of the star-star relation produces the flipping relation, and new flipping solutions are given in several gamma-function families.

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