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Branes and integrable lattice models

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arxiv 1610.05584 v2 pith:KOGVK434 submitted 2016-10-18 hep-th math-phmath.MP

Junya Yagi This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords integrablelatticemodelscorrespondencefieldtheoriesapplicationbrane
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abstract

This is a brief review of my work on the correspondence between four-dimensional $\mathcal{N} = 1$ supersymmetric field theories realized by brane tilings and two-dimensional integrable lattice models. I explain how to construct integrable lattice models from extended operators in partially topological quantum field theories, and elucidate the correspondence as an application of this construction.

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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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