Hidden diagonal integrability of q-Hahn vertex model and Beta polymer model

  title={Hidden diagonal integrability of q-Hahn vertex model and Beta polymer model},
  author={Sergei Korotkikh},
  journal={Probability Theory and Related Fields},
  • S. Korotkikh
  • Published 11 May 2021
  • Mathematics
  • Probability Theory and Related Fields
We study a new integrable probabilistic system, defined in terms of a stochastic colored vertex model on a square lattice. The main distinctive feature of our model is a new family of parameters attached to diagonals rather than to rows or columns, like in other similar models. Because of these new parameters the previously known results about vertex models cannot be directly applied, but nevertheless the integrability remains, and we prove explicit integral expressions for q-deformed moments… 

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