Observables of Stochastic Colored Vertex Models and Local Relation
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Author(s)
Bufetov, Alexey
Korotkikh, Sergei
Date Issued
July 22, 2021
Publisher
Springer Berlin Heidelberg
Version
Author's final manuscript
Abstract
Abstract
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 functions of SC6V model recently established by Borodin–Gorin–Wheeler and Galashin, and new formulas for joint moments of delayed partition functions of Beta polymer.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://doi.org/10.1007/s00220-021-04162-3
