Observables of Stochastic Colored Vertex Models and Local Relation

  title={Observables of Stochastic Colored Vertex Models and Local Relation},
  author={Alexey Bufetov and Sergei Korotkikh},
  journal={Communications in Mathematical Physics},
We study the stochastic colored six vertex (SC6V) model and its fusion. Our main result is an integral expression for natural observables of this model -- joint q-moments of height functions. This generalises a recent result of Borodin-Wheeler. The key technical ingredient is a new relation of height functions of SC6V model in neighboring points. This relation is of independent interest; we refer to it as a local relation. As applications, we give a new proof of certain symmetries of height… 
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